de Lijser, Peter
1 Staffing Formula Worksheet: How to Choose a Staffing Formula for Your Class Staffing Formulas the choice of Staffing Formula also has consequences for faculty workload, be sure to consult with the chair of your department before submitting your course proposal. The most commonly used Staffing Formulas
Audit of staffing requirements for the Strategic Petroleum Reserve
NONE
1995-03-29T23:59:59.000Z
The Department of Energy`s (Department) Strategic Petroleum Reserve (Reserve) is responsible for storing large quantities of crude oil, currently about 592 million barrels, to reduce the impact of any future supply disruptions. The Reserve facilities consist of a marine terminal and five underground storage sites located in Louisiana and Texas, and program and administrative offices in New Orleans and Washington, DC. At May 31, 1994, 1,692 Departmental and contractor personnel were employed in the operation, maintenance, and administration of Reserve activities and the Fiscal Year 1994 Congressional Appropriation was about $207 million. The audit was requested by the Deputy Secretary of Energy to assist Departmental management in evaluating the human resources required to meet Reserve program requirements. Specifically, the objective of the audit was to determine whether current staffing levels for the Reserve were necessary to effectively and efficiently accomplish current and future anticipated mission requirements. The Secretary`s goal of having the Department and its contractors embrace the best management practices in other Government agencies and industry to improve processes and eliminate waste has not been fully realized by Reserve management. We identified industry performance levels and staffing practices that, if achieved by the Reserve, could enable the Reserve to eliminate approximately 329 positions in eight functional areas with potential annual savings of about $16 million. Our analysis indicated that additional staffing reductions are possible over the long term through further application of industry practices and decreases in the number of managers. However, such staffing reductions will require further analysis by management to determine the specific number of staffing reductions that are attainable. The actual staffing reductions realized by the Reserve will be heavily influenced by several factors.
Safety System Oversight Staffing Analysis (Instructions, Blank...
Office of Environmental Management (EM)
modifications since changes to the worksheet format may inadvertently change included formula referenced cells. SSO Alternate Staffing Analysis - Instructions SSO Alternate...
Human Resources Staffing Plan for the Tank Farm Contractor
BOSLEY, J.W.
2000-04-22T23:59:59.000Z
The Human Resources Staffing Plan quantified the equivalent staffing needs required for the Tank Farm Contractor (TFC) and its subcontractors to execute the readiness to proceed baseline between FY 2000-2008. The TFC staffing needs were assessed along with the staffings needs of Fluor Hanford and the privatization contractor. The plan then addressed the staffing needs and recruitment strategies required to execute the baseline.
Staffing for Electronic Resource Management: the Results of a Survey
Duranceau, Ellen
2002-01-01T23:59:59.000Z
The authors offer the results of an informal survey of library staffing trends related to the acquisition and maintenance of electronic resources. They test their hypothesis that the problem of staffing for e-resources has ...
Safety System Oversight Staffing Analysis- Example
Broader source: Energy.gov [DOE]
This Staffing Analysis calculation is completed using an Excel worksheet. Information locations are identified by titles in column or row headings and worksheet locations based on the unmodified blank. Use caution when making worksheet modifications since changes to the worksheet format may inadvertently change included formula referenced cells.
2014 Annual Workforce Analysis and Staffing Plan Report - Carlsbad...
Plan Report - Carlsbad Field Office 2014 Annual Workforce Analysis and Staffing Plan Report - Carlsbad Field Office Managers perform an annual workforce analysis of their...
2011 Annual Workforce Analysis and Staffing Plan Report - Carlsbad...
Plan Report - Carlsbad Field Office 2011 Annual Workforce Analysis and Staffing Plan Report - Carlsbad Field Office Managers perform an annual workforce analysis of their...
2012 Annual Workforce Analysis and Staffing Plan Report - Nevada...
Plan Report - Nevada Site Office 2012 Annual Workforce Analysis and Staffing Plan Report - Nevada Site Office Managers perform an annual workforce analysis of their...
2010 Workforce Analysis and Staffing Plan Report Memo, Guidance...
Broader source: Energy.gov (indexed) [DOE]
The Department of Energy Federal Technical Capability Order, DOE 0 426.1, requires that managers perform an annual workforce analysis of their organization and develop staffing...
2010 Annual Workforce Analysis and Staffing Plan Report - Los...
Plan Report - Los Alamos Site Office 2010 Annual Workforce Analysis and Staffing Plan Report - Los Alamos Site Office Managers perform an annual workforce analysis of their...
2012 Annual Workforce Analysis and Staffing Plan Report - Carlsbad...
Plan Report - Carlsbad Field Office 2012 Annual Workforce Analysis and Staffing Plan Report - Carlsbad Field Office Managers perform an annual workforce analysis of their...
2014 Workforce Analysis and Staffing Plan Report Memo, Guidance...
Broader source: Energy.gov (indexed) [DOE]
The Department of Energy Federal Technical Capability Order, DOE O 426.1, requires that managers perform an annual workforce analysis of their organization and develop staffing...
2014 Annual Workforce Analysis and Staffing Plan Report - Nevada...
Plan Report - Nevada Field Office 2014 Annual Workforce Analysis and Staffing Plan Report - Nevada Field Office Managers perform an annual workforce analysis of their...
2013 Annual Workforce Analysis and Staffing Plan Report - Livermore...
Plan Report - Livermore Field Office 2013 Annual Workforce Analysis and Staffing Plan Report - Livermore Field Office Managers perform an annual workforce analysis of their...
2014 Annual Workforce Analysis and Staffing Plan Report - Portsmouth...
Office of Environmental Management (EM)
Portsmouth Paducah Project Office 2014 Annual Workforce Analysis and Staffing Plan Report - Portsmouth Paducah Project Office Managers perform an annual workforce analysis of...
2013 Annual Workforce Analysis and Staffing Plan Report - NNSA...
Office of Environmental Management (EM)
NNSA Production Office 2013 Annual Workforce Analysis and Staffing Plan Report - NNSA Production Office Managers perform an annual workforce analysis of their organization and...
Nurse Absenteeism and Staffing Strategies for Hospital Inpatient Units
Gupta, Diwakar
for subpopulations such as cardiac and vascular, surgical, trauma, and pediatric patients. Nurses whose skillsNurse Absenteeism and Staffing Strategies for Hospital Inpatient Units Wen-Ya Wang1 , Diwakar Gupta Engineering Department, University of Minnesota Inpatient staffing costs are significantly affected by nurse
2014 Annual Workforce Analysis and Staffing Plan Report- NNSA HQ
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- NNSA HQ
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- NNSA HQ
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
Do You Have Adequate Staffing to Keep Costs Under Control?
Mergens, E. H.
1989-01-01T23:59:59.000Z
business, yet the management emphasis is on maintenance expenditures with considerably less on the other categories. Several other plants are in this company organization which were available for comparison. This is shown in Chart 5. The capacity... STAFFING TO KEEP COSTS UNDER CONTROL? E. H. MERGENS Manager, Energy Conservation Shell Oil Company Houston, Texas ABSTRACT As visual illustration of the revised staffing is shown in Charts 1 and 2. As Competitive pressures have forced companies...
Funding and Federal Staffing Requirements Funding Summary (Energy Supply)
.6% Solar Energy Concentrating Solar Power . . . . . . 13,025 1,932 0 -1,932 -100.0% Photovoltaic Energy,000 -1,000 -25.0% Total, Solar Energy . . . . . . . . . . . . . 87,107 79,625 79,693 +68 +0.1% Zero-EnergyFunding and Federal Staffing Requirements Funding Summary (Energy Supply) (dollars in thousands) FY
2012 Annual Workforce Analysis and Staffing Plan Report- Sandia Site Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- Savannah River Site Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Los Alamos Field Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- Idaho Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- Idaho Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- NNSA Service Center
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- Savannah River Site Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- Office of Science
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- Idaho Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- Portsmouth Paducah Project Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- Richland Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Sandia Field Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- Livermore Site Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- Pantex Site Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2014 Annual Workforce Analysis and Staffing Plan Report- Los Alamos Field Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- NNSA Production Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- Y-12 Site Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- Office of Health, Safety and Security
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Idaho Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- Office of Health, Safety and Security
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- Office of Health, Safety and Security
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Office of Health, Safety and Security
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Chief of Nuclear Safety
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- Chief of Nuclear Safety
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2014 Annual Workforce Analysis and Staffing Plan Report- Savannah River Field Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2014 Annual Workforce Analysis and Staffing Plan Report- Office of Environmental Management
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2014 Annual Workforce Analysis and Staffing Plan Report- Pacific Northwest Site Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2014 Annual Workforce Analysis and Staffing Plan Report- Office of Science
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- Office of Environmental Management
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Office of Environmental Management
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- Office of Environmental Management
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- West Valley Demonstration Project
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
Rathmel, Angela
2011-11-04T23:59:59.000Z
As library purchases for their collections move to predominantly electronic and patron-driven, acquisitions staffing has been changing to meet demands of fast paced and more complex workflows. For large academic institutions ...
2014 Annual Workforce Analysis and Staffing Plan Report- Idaho Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2014 Annual Workforce Analysis and Staffing Plan Report- NNSA Production Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- EM Consolidated Business Center
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- EM Consolidated Business Center
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2014 Annual Workforce Analysis and Staffing Plan Report- Savannah River Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Savannah River Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- Savannah River Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Office of Science
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2012 Annual Workforce Analysis and Staffing Plan Report- Office of Science
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2013 Annual Workforce Analysis and Staffing Plan Report- Office of Science Chicago Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- Office of Science
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2010 Annual Workforce Analysis and Staffing Plan Report- Savannah River Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
2011 Annual Workforce Analysis and Staffing Plan Report- Savannah River Operations Office
Broader source: Energy.gov [DOE]
Managers perform an annual workforce analysis of their organization and develop staffing plans that identify technical capabilities and positions they need to ensure safe operation of defense nuclear facilities.
Matrajt, Graciela
University of Washington | Human Resources | UTemp Staffing Program REFERENCE CHECKING CONSENT of Washington and have provided information about my previous employment. I authorize the University of Washington to conduct a reference check with my present and/or previous employer(s). I understand
Approximate Information Theory
Penny, Will
Gaussians Asymmetry Multimodality Variational Bayes Variational Free Energy Factorised Approximations Variational Energy Approximate Posteriors Nonlinear Regression Nonlinear Regression Priors Posterior Energies Variational Free Energy Factorised Approximations Variational Energy Approximate Posteriors Nonlinear
Multivariate approximation Robert Schaback
Schaback, Robert
Multivariate approximation Robert Schaback July 30, 2013 1 Synonyms Approximation by functions Approximations of functions are multivariate, if they replace functions of n 2 variables defined on a domain. 4 Overview Multivariate approximation is an extension of Approximation Theory and Approximation
Wogman, Ned A.; Bond, Leonard J.; Waltar, Alan E.; Leber, R E.
2005-01-01T23:59:59.000Z
The United States, the Department of Energy (DOE) and its National Laboratories, including the Pacific Northwest National Laboratory (PNNL), are facing a serious attrition of nuclear scientists and engineers and their capabilities through the effects of aging staff. Within the DOE laboratories, 75% of nuclear personnel will be eligible to retire by 2010. It is expected that there will be a significant loss of senior nuclear science and technology staff at PNNL within five years. PNNL's nuclear legacy is firmly rooted in the DOE Hanford site, the World War II Manhattan Project, and subsequent programs. Historically, PNNL was a laboratory were 70% of its activities were nuclear/radiological, and now just under 50% of its current business science and technology are nuclear and radiologically oriented. Programs in the areas of Nuclear Legacies, Global Security, Nonproliferation, Homeland Security and National Defense, Radiobiology and Nuclear Energy still involve more than 1,000 of the 3,800 current laboratory staff, and these include more than 420 staff who are certified as nuclear/radiological scientists and engineers. This paper presents the current challenges faced by PNNL that require an emerging strategy to solve the nuclear staffing issues through the maintenance and replenishment of the human nuclear capital needed to support PNNL nuclear science and technology programs.
Wogman, Ned A.; Bond, Leonard J.; Waltar, Alan E.; Leber, R. E.
2005-01-01T23:59:59.000Z
The United States, the Department of Energy (DOE) and its National Laboratories, including the Pacific Northwest National Laboratory (PNNL), are facing a serious attrition of nuclear scientists and engineers and their capabilities through the effects of aging staff. Within the DOE laboratories, 75% of nuclear personnel will be eligible to retire by 2010. It is expected that there will be a significant loss of senior nuclear science and technology staff at PNNL within five years. PNNL's nuclear legacy is firmly rooted in the DOE Hanford site, the World War II Manhattan Project, and subsequent programs. Historically, PNNL was a laboratory where 70% of its activities were nuclear/radiological, and now just under 50% of its current business science and technology are nuclear and radiologically oriented. Programs in the areas of Nuclear Legacies, Global Security, Nonproliferation, Homeland Security and National Defense, Radiobiology and Nuclear Energy still involve more than 1,000 of the 3,800 current laboratory staff, and these include more than 420 staff who are certified as nuclear/radiological scientists and engineers. This paper presents the current challenges faced by PNNL that require an emerging strategy to solve the nuclear staffing issues through the maintenance and replenishment of the human nuclear capital needed to support PNNL nuclear science and technology programs.
Fast Approximate Convex Decomposition
Ghosh, Mukulika
2012-10-19T23:59:59.000Z
Approximate convex decomposition (ACD) is a technique that partitions an input object into "approximately convex" components. Decomposition into approximately convex pieces is both more efficient to compute than exact ...
Approximate Maximum Principle for Discrete Approximations of ...
2012-03-20T23:59:59.000Z
Approximations of Optimal Control Systems with. Nonsmooth .... of any endpoint constraints on trajectories of linear one-dimensional control systems in (PN ).
Multicriteria approximation through decomposition
Burch, C. [Carnegie Mellon Univ., Pittsburgh, PA (United States). School of Computer Sciences]|[Sandia National Labs., Albuquerque, NM (United States); Krumke, S. [Univ. of Wuerzburg (Germany). Dept. of Computer Science; Marathe, M. [Los Alamos National Lab., NM (United States); Phillips, C. [Sandia National Labs., Albuquerque, NM (United States). Applied Mathematics Dept.; Sundberg, E. [Rutgers Univ., NJ (United States). Dept. of Computer Science]|[Sandia National Labs., Albuquerque, NM (United States)
1997-12-01T23:59:59.000Z
The authors propose a general technique called solution decomposition to devise approximation algorithms with provable performance guarantees. The technique is applicable to a large class of combinatorial optimization problems that can be formulated as integer linear programs. Two key ingredients of the technique involve finding a decomposition of a fractional solution into a convex combination of feasible integral solutions and devising generic approximation algorithms based on calls to such decompositions as oracles. The technique is closely related to randomized rounding. The method yields as corollaries unified solutions to a number of well studied problems and it provides the first approximation algorithms with provable guarantees for a number of new problems. The particular results obtained in this paper include the following: (1) The authors demonstrate how the technique can be used to provide more understanding of previous results and new algorithms for classical problems such as Multicriteria Spanning Trees, and Suitcase Packing. (2) They show how the ideas can be extended to apply to multicriteria optimization problems, in which they wish to minimize a certain objective function subject to one or more budget constraints. As corollaries they obtain first non-trivial multicriteria approximation algorithms for problems including the k-Hurdle and the Network Inhibition problems.
Multicriteria approximation through decomposition
Burch, C. [Carnegie Mellon Univ., Pittsburgh, PA (United States). School of Computer Science; Krumke, S. [Univ. of Wuerzburg (Germany). Dept. of Computer Science; Marathe, M. [Los Alamos National Lab., NM (United States); Phillips, C. [Sandia National Labs., Albuquerque, NM (United States). Applied Mathematics Dept.; Sundberg, E. [Rutgers Univ., NJ (United States). Dept. of Computer Science
1998-06-01T23:59:59.000Z
The authors propose a general technique called solution decomposition to devise approximation algorithms with provable performance guarantees. The technique is applicable to a large class of combinatorial optimization problems that can be formulated as integer linear programs. Two key ingredients of their technique involve finding a decomposition of a fractional solution into a convex combination of feasible integral solutions and devising generic approximation algorithms based on calls to such decompositions as oracles. The technique is closely related to randomized rounding. Their method yields as corollaries unified solutions to a number of well studied problems and it provides the first approximation algorithms with provable guarantees for a number of new problems. The particular results obtained in this paper include the following: (1) the authors demonstrate how the technique can be used to provide more understanding of previous results and new algorithms for classical problems such as Multicriteria Spanning Trees, and Suitcase Packing; (2) they also show how the ideas can be extended to apply to multicriteria optimization problems, in which they wish to minimize a certain objective function subject to one or more budget constraints. As corollaries they obtain first non-trivial multicriteria approximation algorithms for problems including the k-Hurdle and the Network Inhibition problems.
Approximations non-recursively
ÃbrahÃ¡m, Erika
) * x Regard non-recursively de#12;ned approximations fact 0 = nx -> bot fact 1 = nx -> if x else fact 0 (x 1) #3; x fact 2 = nx -> if x fact of fact should satisfy the de#12;ning equation fact = nx -> if x
Supporting Text Approximation of the Multinomial. Using Stirling's approximation
Peterson, Carsten
Supporting Text Approximation of the Multinomial. Using Stirling's approximation n! (n/e)n 2n! . [S12] To calculate B L (^n) limN BN L (^n), we apply Stirling's formula to N!, n0!, and n1!, which that r Stirling's formula
Approximation Algorithms for Covering Problems
Koufogiannakis, Christos
2009-01-01T23:59:59.000Z
1.3.1 Sequential Algorithms . . . . . . . . . . . . .Distributed 2-approximation algorithm for CMIP 2 (Alg.2 Sequential Algorithm 2.1 The Greedy Algorithm for Monotone
Approximate Graph Products Marc Hellmutha
Stadler, Peter F.
Approximate Graph Products Marc Hellmutha , Wilfried Imrichb , Werner Kl¨ocklb , Peter F. Stadlera or fingers) can vary independently of other traits, or Email addresses: marc@bioinf.uni-leipzig.de (Marc
Planning numerical approximations Richard Power
Williams, Sandra
Planning numerical approximations Richard Power Sandra Williams 21st September 2009 #12;Table proportions (e.g., more than a quarter, 25.9 per cent) Proportions are a convenient well-defined subproblem Common in factual discourse (e.g., newspaper articles) Important for generating from data (but neglected
Convex approximations in stochastic programming by semidefinite ...
2010-04-19T23:59:59.000Z
This experience leads us to force the convexity of the approximating quadratic ..... As we can see, the least-squares approximation works well only if the data ...
Staffing Model | Department of Energy
Broader source: Energy.gov (indexed) [DOE]
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 ofSubscribeDepartment ofEnergyImpact of TeamingTheA wideStudents
Staffing Guide for Project Management
Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]
2010-06-03T23:59:59.000Z
This Guide provides an approach to determining the appropriate level and type of federal personnel needed to effectively plan, direct, and oversee project execution. Admin Chg 1, dated 10-12-11, cancels DOE G 413.3-19.
Approximations by Orthonormal Mapped Chebyshev Functions for ...
2014-03-12T23:59:59.000Z
a School of Mathematical Science, Xiamen University, 361005 Xiamen, China .... suitable mapping can be used to approximate functions on the whole line R (cf.
Section 2.5: Approximations Using Increments
2014-04-05T23:59:59.000Z
Feb 26, 2014 ... Lesson 19. Definition. Examples. In this lesson we will discuss a method for approximating the value of a function at a specified point.
Optimization Online - Equivalence of an Approximate Linear ...
Alejandro Toriello
2013-02-07T23:59:59.000Z
Feb 7, 2013 ... Equivalence of an Approximate Linear Programming Bound with the Held-Karp Bound for the Traveling Salesman Problem. Alejandro Toriello ...
Near approximations via general ordered topological spaces
M. Abo-Elhamayel
2014-12-27T23:59:59.000Z
Rough set theory is a new mathematical approach to imperfect knowledge. The notion of rough sets is generalized by using an arbitrary binary relation on attribute values in information systems, instead of the trivial equality relation. The topology induced by binary relations is used to generalize the basic rough set concepts. This paper studies near approximation via general ordered topological approximation spaces which may be viewed as a generalization of the study of near approximation from the topological view. The basic concepts of some increasing (decreasing) near approximations, increasing (decreasing) near boundary regions and increasing (decreasing) near accuracy were introduced and sufficiently illustrated. Moreover, proved results, implications and add examples.
Optimization Online - Probabilistic optimization via approximate p ...
W. van vAckooij
2015-05-27T23:59:59.000Z
May 27, 2015 ... Probabilistic optimization via approximate p-efficient points and bundle methods. W. van vAckooij(wim.van-ackooij ***at*** edf.fr )
Lower bounds for approximate factorizations via semidefinite ...
ABSTRACT The problem of approximately factoring a real or complex multivariate polynomial f seeks minimal perturbations ? f to the coefficients of the input ...
Blood Management Using Approximate Linear Programming
Shenoy, Prashant
Blood Management Using Approximate Linear Programming Marek Petrik and Shlomo Zilberstein January 13th, 2009 Marek Petrik and Shlomo Zilberstein () Blood Management Using Approximate Linear ProgrammingJanuary 13th, 2009 1 / 36 #12;Blood Inventory Management Problem Regional blood banks: Aggregate
APPROXIMATION RESULTS FOR REFLECTIONLESS JACOBI MATRICES
Remling, Christian
APPROXIMATION RESULTS FOR REFLECTIONLESS JACOBI MATRICES ALEXEI POLTORATSKI AND CHRISTIAN REMLING Abstract. We study spaces of reflectionless Jacobi matrices. The main theme is the following type of question: Given a reflectionless Jacobi matrix, is it possible to approximate it by other reflection- less
APPROXIMATE SIMULATION RELATIONS FOR HYBRID SYSTEMS 1
Pappas, George J.
. Pappas Department of Electrical and Systems Engineering University of Pennsylvania Philadelphia, PA been introduced as a powerful tool for the approximation of discrete and continuous systems systems approximation. An example of application in the context of safety verification is shown. Keywords
Approximate error conjugation gradient minimization methods
Kallman, Jeffrey S
2013-05-21T23:59:59.000Z
In one embodiment, a method includes selecting a subset of rays from a set of all rays to use in an error calculation for a constrained conjugate gradient minimization problem, calculating an approximate error using the subset of rays, and calculating a minimum in a conjugate gradient direction based on the approximate error. In another embodiment, a system includes a processor for executing logic, logic for selecting a subset of rays from a set of all rays to use in an error calculation for a constrained conjugate gradient minimization problem, logic for calculating an approximate error using the subset of rays, and logic for calculating a minimum in a conjugate gradient direction based on the approximate error. In other embodiments, computer program products, methods, and systems are described capable of using approximate error in constrained conjugate gradient minimization problems.
Ayako Yoshisato; Takahiko Matsubara; Masahiro Morikawa
1997-08-11T23:59:59.000Z
Among various analytic approximations for the growth of density fluctuations in the expanding Universe, Zel'dovich approximation and its extensions in Lagrangian scheme are known to be accurate even in mildly non-linear regime. The aim of this paper is to investigate the reason why these Zel'dovich-type approximations work accurately beyond the linear regime from the following two points of view: (1) Dimensionality of the system and (2) the Lagrangian scheme on which the Zel'dovich approximation is grounded. In order to examine the dimensionality, we introduce a model with spheroidal mass distribution. In order to examine the Lagrangian scheme, we introduce the Pad\\'e approximation in Eulerian scheme. We clarify which of these aspects supports the unusual accuracy of the Zel'dovich-type approximations. We also give an implication for more accurate approximation method beyond the Zel'dovich-type approximations.
Wave-mechanics and the adhesion approximation
C. J. Short; P. Coles
2006-11-22T23:59:59.000Z
The dynamical equations describing the evolution of a self-gravitating fluid of cold dark matter (CDM) can be written in the form of a Schrodinger equation coupled to a Poisson equation describing Newtonian gravity. It has recently been shown that, in the quasi-linear regime, the Schrodinger equation can be reduced to the exactly solvable free-particle Schrodinger equation. The free-particle Schrodinger equation forms the basis of a new approximation scheme -the free-particle approximation - that is capable of evolving cosmological density perturbations into the quasi-linear regime. The free-particle approximation is essentially an alternative to the adhesion model in which the artificial viscosity term in Burgers' equation is replaced by a non-linear term known as the quantum pressure. Simple one-dimensional tests of the free-particle method have yielded encouraging results. In this paper we comprehensively test the free-particle approximation in a more cosmologically relevant scenario by appealing to an N-body simulation. We compare our results with those obtained from two established methods: the linearized fluid approach and the Zeldovich approximation. We find that the free-particle approximation comprehensively out-performs both of these approximation schemes in all tests carried out and thus provides another useful analytical tool for studying structure formation on cosmological scales.
Updated: June 21, 2010 Diophantine approximation,
Waldschmidt, Michel
Updated: June 21, 2010 Diophantine approximation, irrationality and transcendence Michel] Chap. 3. See also [1] Chap. III. References [1] S. Lang, Introduction to transcendental numbers transcendants, Springer-Verlag, Berlin, 1974. Lecture Notes in Mathematics, Vol. 402. http
Approximate inference in Gaussian graphical models
Malioutov, Dmitry M., 1981-
2008-01-01T23:59:59.000Z
The focus of this thesis is approximate inference in Gaussian graphical models. A graphical model is a family of probability distributions in which the structure of interactions among the random variables is captured by a ...
Optimization of Multibody Systems using Approximation Concepts
Etman, L.F. Pascal
UNIVERSITEIT EINDHOVEN Optimization of multibody systems using approximation concepts / Lodewijk Franciscus Pascal Etman. - Eindhoven : Technische Universiteit Eindhoven, 1997. - XVIII, 140 p. - With ref concepts / crashworthiness design / vehicle suspension Druk: Universiteitsdrukkerij TU Eindhoven Support
Linear source approximation in CASMO5
Ferrer, R.; Rhodes, J. [Studsvik Scandpower, Inc., 504 Shoup Ave., Idaho Falls, ID 83402 (United States); Smith, K. [Dept. of Nuclear Science and Engineering, Massachusetts Inst. of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139 (United States)
2012-07-01T23:59:59.000Z
A Linear Source (LS) approximation has been implemented in the two-dimensional Method of Characteristics (MOC) transport solver in a prototype version of CASMO5. The LS approximation, which relies on the computation of trajectory-based spatial moments over source regions to obtain the linear source expansion coefficients, improves the solution accuracy relative to the 'flat' or constant source approximation. In addition, the LS formulation is capable of treating arbitrarily-shaped source regions and is compatible with standard Coarse-Mesh Finite Difference (CMFD) acceleration. Numerical tests presented in this paper for the C5G7 MOX benchmark show that, for comparable accuracy with respect to the reference solution, the LS approximation can reduce the run time by a factor of four and the memory requirements by a factor often relative to the FS scheme. (authors)
Signal approximation using the bilinear transform
Venkataraman, Archana, Ph. D. Massachusetts Institute of Technology
2007-01-01T23:59:59.000Z
This thesis explores the approximation properties of a unique basis expansion. The expansion implements a nonlinear frequency warping between a continuous-time signal and its discrete-time representation according to the ...
Polymer state approximations of Schroedinger wave functions
Klaus Fredenhagen; Felix Reszewski
2006-08-25T23:59:59.000Z
It is shown how states of a quantum mechanical particle in the Schroedinger representation can be approximated by states in the so-called polymer representation. The result may shed some light on the semiclassical limit of loop quantum gravity.
A fresh look at the adhesion approximation
Thomas Buchert
1997-11-04T23:59:59.000Z
I report on a systematic derivation of the phenomenological ``adhesion approximation'' from gravitational instability together with a brief evaluation of the related status of analytical modeling of large-scale structure.
Extending the Eikonal Approximation to Low Energy
Pierre Capel; Tokuro Fukui; Kazuyuki Ogata
2014-11-21T23:59:59.000Z
E-CDCC and DEA, two eikonal-based reaction models are compared to CDCC at low energy (e.g. 20AMeV) to study their behaviour in the regime at which the eikonal approximation is supposed to fail. We confirm that these models lack the Coulomb deflection of the projectile by the target. We show that a hybrid model, built on the CDCC framework at low angular momenta and the eikonal approximation at larger angular momenta gives a perfect agreement with CDCC. An empirical shift in impact parameter can also be used reliably to simulate this missing Coulomb deflection.
Approximate initial data for binary black holes
Kenneth A. Dennison; Thomas W. Baumgarte; Harald P. Pfeiffer
2006-08-26T23:59:59.000Z
We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the transverse-traceless decomposition and consider perturbations of Schwarzschild black holes caused by boosts and the presence of a binary companion. A superposition of these two perturbations then yields approximate, but fully analytic binary black hole initial data that are accurate to first order in the inverse of the binary separation and the square of the black holes' momenta.
Updated: May 28, 2010 Diophantine approximation,
Waldschmidt, Michel
Updated: May 28, 2010 Diophantine approximation, irrationality and transcendence Michel Waldschmidt [3] is: Theorem 121 (Lambert, 1761). For any r Q \\ {0}, the numbers tan r and er are irrational. In particular the number is irrational. The main tool is continued fractions, and the first goal of Lambert
Updated: June 16, 2010 Diophantine approximation,
Waldschmidt, Michel
Updated: June 16, 2010 Diophantine approximation, irrationality and transcendence Michel. It is known (see for instance [31] p. 25) that if k is a positive integer, if an irrational real number has, 31, 13, 1]. Definition Given a real irrational number , a function = N R>0 is an irrationality
Updated: May 16, 2010 Diophantine approximation,
Waldschmidt, Michel
Updated: May 16, 2010 Diophantine approximation, irrationality and transcendence Michel Waldschmidt of 2 We first give a geometrical proof of the irrationality of the number 2 = 1, 414 213 562 373 095 rectangle. This proves the irrationality of 2. In algebraic terms, the number x = 1 + 2 satisfies x = 2
Updated: June 1, 2010 Diophantine approximation,
Waldschmidt, Michel
Updated: June 1, 2010 Diophantine approximation, irrationality and transcendence Michel Waldschmidt on the irrationality of er when r is a non-zero rational number. Next we show how a slight modification implies.1.1 Irrationality of er for r Q If r = a/b is a rational number such that er is also rational, then e|a| is also
Updated: June 23, 2010 Diophantine approximation,
Waldschmidt, Michel
Updated: June 23, 2010 Diophantine approximation, irrationality and transcendence Michel://www.math.jussieu.fr/ miw/articles/ps/eccm.ps [5] -- , Elliptic functions and transcendence, in Surveys in number theory of and . Schneider's Theorem on the transcendence of j() (corollary 174). 11 Algebraic independence 11.1 Chudnovskii
Approximating Human Reaching Volumes Using Inverse Kinematics
Rodríguez, Inmaculada
of reach: standing reach, which is useful in computer animation where virtual humans have to interact. Introduction Virtual Humans are a valuable medium for gaining knowledge and understanding about the human bodyApproximating Human Reaching Volumes Using Inverse Kinematics I. Rodrígueza , M. Peinadoa , R
Approximate Inference and Protein-Folding
Weiss, Yair
Approximate Inference and Protein-Folding Chen Yanover and Yair Weiss School of Computer Science Side-chain prediction is an important subtask in the protein-folding problem. We show that #12;nding algorithms, including a widely used protein-folding software (SCWRL). 1 Introduction Inference in graphical
Approximations to the Distributed Activation Energy Model
Approximations to the Distributed Activation Energy Model for Pyrolysis C.P. Please, 1 M.J. Mc, then resubmitted after minor revisions in September 2002. Abstract The Distributed Activation Energy Model (DAEM effective method for estimating kinetic parameters and the distribution of activation energies. Comparison
The Observer Algorithm for Visibility Approximation
Doherty, Patrick
, with dif- ferent view ranges and grid cell sizes. By changing the size of the grid cells that the algorithm or more sentries while moving to a goal position. Algorithms for finding a covert paths in the presence of stationary and moving sentries has been devised by [5] [6]. An approximate visibility algorithm was devised
Notion of p-value Parametric Approximations
Nuel, Gregory
Notion of p-value Parametric Approximations Power Significance of an Observation in Post-Genomics G, March 7 - 10, 2011 G. NUEL Significance of an Observation in Post-Genomics #12;Notion of p Power of a test ROC and AUC Example with GWAS G. NUEL Significance of an Observation in Post-Genomics
Symbolic Test Selection Based on Approximate Analysis
Paris-Sud XI, Université de
Symbolic Test Selection Based on Approximate Analysis Bertrand Jeannet, Thierry J´eron, Vlad Rusu}@irisa.fr Abstract. This paper addresses the problem of generating symbolic test cases for testing the conformance. The challenge we consider is the selection of test cases according to a test purpose, which is here a set
Approximating Power Indices --Theoretical and Empirical Analysis
Rosenschein, Jeff
, by providing lower bounds for both deter- ministic and randomized algorithms for calculating power indices. WeApproximating Power Indices -- Theoretical and Empirical Analysis Yoram Bachrach School and Computer Science, The Hebrew University, Jerusalem, Israel Amin Saberi Department of Management Science
Exact and Approximate REML for Heteroscedastic Regression
Smyth, Gordon K.
Exact and Approximate REML for Heteroscedastic Regression Gordon K. Smyth Department of Mathematics, the above het- eroscedastic regression model is the most general model of the type considered by LN98 and SV to estimate the het- eroscedastic regression model by way of two coupled generalized linear models
A numerical approximation to distribution function
Tuttle, Keith Allan
1977-01-01T23:59:59.000Z
then is to approximate F(Y) numerically. We sub- divide the unit cube Q into N cubes eqch of length h I/N on a n n side. Within each individual subcube Q , we will define an affine approximation to f, W = g(x , . . . , x ), which requires the gradient of 1' ' 'n our... & h/2, k k i + 1/2 2 n k k = 1, 2, . . . , n]. Let f(x) f C [Q ] the space of twice continuously n differentiable functions on Q , and define the auxiliary function g(x) as the tangent to f at x. i + 1 2 for x f Q. . That is, if x I Q i (x) f (x1 2...
VISCOSITY AND RELAXATION APPROXIMATIONS FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS
Tzavaras, Athanasios E.
VISCOSITY AND RELAXATION APPROXIMATIONS FOR HYPERBOLIC SYSTEMS deal with the approximation of conservation * *laws via viscosity or relaxation. The following topics are covered: The general structure of viscosity and relaxation approximations is discu
Nonlinear adaptive control using radial basis function approximants
Petersen, Jerry Lee
1993-01-01T23:59:59.000Z
The purpose of this research is to present an adaptive control strategy using the radial basis function approximation method. Surface approximation methods using radial basis function approximants will first be discussed. The Hamiltonian dynamical...
Orthogonal Polynomial Approximation in Higher Dimensions: Applications in Astrodynamics
Bani Younes, Ahmad H.
2013-08-05T23:59:59.000Z
harmonic series by a family of locally precise orthogonal polynomial approximations for efficient computation. A method is introduced which adapts the approximation degree radially, compatible with the truth that the highest degree approximations (to...
Approximating spheroid inductive responses using spheres
Smith, J. Torquil; Morrison, H. Frank
2003-12-12T23:59:59.000Z
The response of high permeability ({mu}{sub r} {ge} 50) conductive spheroids of moderate aspect ratios (0.25 to 4) to excitation by uniform magnetic fields in the axial or transverse directions is approximated by the response of spheres of appropriate diameters, of the same conductivity and permeability, with magnitude rescaled based on the differing volumes, D.C. magnetizations, and high frequency limit responses of the spheres and modeled spheroids.
Semiclassical approximation in Batalin-Vilkovisky formalism
Albert Schwarz
1992-10-23T23:59:59.000Z
The geometry of supermanifolds provided with $Q$-structure (i.e. with odd vector field $Q$ satisfying $\\{ Q,Q\\} =0$), $P$-structure (odd symplectic structure ) and $S$-structure (volume element) or with various combinations of these structures is studied. The results are applied to the analysis of Batalin-Vilkovisky approach to the quantization of gauge theories. In particular the semiclassical approximation in this approach is expressed in terms of Reidemeister torsion.
Compressed Indexes for Approximate String Matching
Sung, Wing-Kin Ken"
Compressed Indexes for Approximate String Matching Ho-Leung Chan1 Tak-Wah Lam1, Wing-Kin Sung2 Siu the index space to O(n log n). Huynh et al. [10] and Lam et al. [11] further compressed the index to O,wongss}@comp.nus.edu.sg Abstract. We revisit the problem of indexing a string S[1..n] to support searching all substrings
Approximate convex decomposition and its applications
Lien, Jyh-Ming
2009-05-15T23:59:59.000Z
Approved by: Chair of Committee, Nancy M. Amato Committee Members, Ergun Akleman Ricardo Gutierrez-Osuna Donald H. House John C. Keyser Head of Department, Valerie E. Taylor December 2006 Major Subject: Computer Science iii ABSTRACT Approximate Convex...-Yen Li, for teaching me about research. I would like to thank my committee members, John Keyser, Donald House, Ergun Akleman, and Ricardo Gutierrez-Osuna, who supported me through this challenging journey. I would like to thank everyone in the Algorithms...
WKB Approximation to the Power Wall
F. D. Mera; S. A. Fulling; J. D. Bouas; K. Thapa
2013-03-28T23:59:59.000Z
We present a semiclassical analysis of the quantum propagator of a particle confined on one side by a steeply, monotonically rising potential. The models studied in detail have potentials proportional to $x^{\\alpha}$ for $x>0$; the limit $\\alpha\\to\\infty$ would reproduce a perfectly reflecting boundary, but at present we concentrate on the cases $\\alpha =1$ and 2, for which exact solutions in terms of well known functions are available for comparison. We classify the classical paths in this system by their qualitative nature and calculate the contributions of the various classes to the leading-order semiclassical approximation: For each classical path we find the action $S$, the amplitude function $A$ and the Laplacian of $A$. (The Laplacian is of interest because it gives an estimate of the error in the approximation and is needed for computing higher-order approximations.) The resulting semiclassical propagator can be used to rewrite the exact problem as a Volterra integral equation, whose formal solution by iteration (Neumann series) is a semiclassical, not perturbative, expansion. We thereby test, in the context of a concrete problem, the validity of the two technical hypotheses in a previous proof of the convergence of such a Neumann series in the more abstract setting of an arbitrary smooth potential. Not surprisingly, we find that the hypotheses are violated when caustics develop in the classical dynamics; this opens up the interesting future project of extending the methods to momentum space.
BLOCK DIAGONALLY DOMINANT POSITIVE DEFINITE APPROXIMATE FILTERS AND SMOOTHERS
BLOCK DIAGONALLY DOMINANT POSITIVE DEFINITE APPROXIMATE FILTERS AND SMOOTHERS Running title: BLOCKÆciently small as to preclude the loss of positive de#12;niteness in the approximate equations. Therefore
BLOCK DIAGONALLY DOMINANT POSITIVE DEFINITE APPROXIMATE FILTERS AND SMOOTHERS
BLOCK DIAGONALLY DOMINANT POSITIVE DEFINITE APPROXIMATE FILTERS AND SMOOTHERS Running title: BLOCK the loss of positive definiteness in the approximate equations. Therefore previous analyses have
Sensitivity approximation for robust stability and tracking
McLean, Chris Steven
1984-01-01T23:59:59.000Z
) Norman W. Na gle (Member) Don R. Halverson (Member) William B. Jones (Head of Department) May 1984 1n Abstract Sensitivity Approximation for Robust Stability and Tracking. (May 1984) Chris Steven McLean, B. S, , Louisiana Tech University... indispensable to the completion of this thesis. I would like to thank Dr. S. P. Bhattacharyya for introducing me to the wonders of automatic control. I also would like to thank Dr. D. R. Halverson and Dr. N. W. Naugle for serving on my committee, Dr. John...
Recycling Authorizations: Toward Secondary and Approximate Authorizations Model
of matching best suitable approximate authorizations. 1 Introduction Although, every authorization decision
Bethe free energy, Kikuchi approximations and belief propagation
Bethe free energy, Kikuchi approximations and belief propagation algorithms Jonathan S. Yedidia to a stationary point of an approximate free energy, known as the Bethe free energy in statis- tical physics- curate free energy approximations, of which Bethe's approximation is the simplest. Exploiting
The Background Field Approximation in (quantum) cosmology
R. Parentani
1998-03-12T23:59:59.000Z
We analyze the Hamilton-Jacobi action of gravity and matter in the limit where gravity is treated at the background field approximation. The motivation is to clarify when and how the solutions of the Wheeler-DeWitt equation lead to the Schr\\"odinger equation in a given background. To this end, we determine when and how the total action, solution of the constraint equations of General Relativity, leads to the HJ action for matter in a given background. This is achieved by comparing two neighboring solutions differing slightly in their matter energy content. To first order in the change of the 3-geometries, the change of the gravitational action equals the integral of the matter energy evaluated in the background geometry. Higher order terms are governed by the ``susceptibility'' of the geometry. These classical properties also apply to quantum cosmology since the conditions which legitimize the use of WKB gravitational waves are concomitant with those governing the validity of the background field approximation.
The validity of the Background Field Approximation
R. Parentani
1997-10-10T23:59:59.000Z
In the absence of a tractable theory of quantum gravity, quantum matter field effects have been so far computed by treating gravity at the Background Field Approximation. The principle aim of this paper is to investigate the validity of this approximation which is not specific to gravity. To this end, for reasons of simplicity and clarity, we shall compare the descriptions of thermal processes induced by constant acceleration (i.e. the Unruh effect) in four dynamical frameworks. In this problem, the position of the ``heavy'' accelerated system plays the role of gravity. In the first framework, the trajectory is treated at the BFA: it is given from the outset and unaffected by radiative processes. In the second one, recoil effects induced by these emission processes are taken into account by describing the system's position by WKB wave functions. In the third one, the accelerated system is described by second quantized fields and in the fourth one, gravity is turned on. It is most interesting to see when and why transitions amplitudes evaluated in different frameworks but describing the same process do agree. It is indeed this comparison that determines the validity of the BFA. It is also interesting to notice that the abandonment of the BFA delivers new physical insights concerning the processes. For instance, in the fourth framework, the ``recoils'' of gravity show that the acceleration horizon area acts as an entropy in delivering heat to accelerated systems.
The local potential approximation in quantum gravity
Dario Benedetti; Francesco Caravelli
2012-10-09T23:59:59.000Z
Within the context of the functional renormalization group flow of gravity, we suggest that a generic f(R) ansatz (i.e. not truncated to any specific form, polynomial or not) for the effective action plays a role analogous to the local potential approximation (LPA) in scalar field theory. In the same spirit of the LPA, we derive and study an ordinary differential equation for f(R) to be satisfied by a fixed point of the renormalization group flow. As a first step in trying to assess the existence of global solutions (i.e. true fixed point) for such equation, we investigate here the properties of its solutions by a comparison of various series expansions and numerical integrations. In particular, we study the analyticity conditions required because of the presence of fixed singularities in the equation, and we develop an expansion of the solutions for large R up to order N=29. Studying the convergence of the fixed points of the truncated solutions with respect to N, we find a characteristic pattern for the location of the fixed points in the complex plane, with one point stemming out for its stability. Finally, we establish that if a non-Gaussian fixed point exists within the full f(R) approximation, it corresponds to an R^2 theory.
Approximate Stokes Drift Profiles in Deep Water
Breivik, Øyvind; Bidlot, Jean-Raymond
2014-01-01T23:59:59.000Z
A deep-water approximation to the Stokes drift velocity profile is explored as an alternative to the monochromatic profile. The alternative profile investigated relies on the same two quantities required for the monochromatic profile, viz the Stokes transport and the surface Stokes drift velocity. Comparisons with parametric spectra and profiles under wave spectra from the ERA-Interim reanalysis and buoy observations reveal much better agreement than the monochromatic profile even for complex sea states. That the profile gives a closer match and a more correct shear has implications for ocean circulation models since the Coriolis-Stokes force depends on the magnitude and direction of the Stokes drift profile and Langmuir turbulence parameterizations depend sensitively on the shear of the profile. The alternative profile comes at no added numerical cost compared to the monochromatic profile.
Report on some recent advances in Diophantine approximation
Waldschmidt, Michel
by linear forms Â· irrationality measures Â· transcendence criterion Â· criteria for algebraic inde- pendence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 Rational approximation to a real number . . . . . . . . . . . . . . . . . . . . . . . . 6 1, algebraic and simultaneous approximation to a single number
VISCOSITY AND RELAXATION APPROXIMATIONS FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS
Tzavaras, Athanasios E.
VISCOSITY AND RELAXATION APPROXIMATIONS FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS Athanasios E. Tzavaras Abstract. These lecture notes deal with the approximation of conservation laws via viscosity or relaxation. The following topics are covered: The general structure of viscosity and relaxation
Guest Editorial Sparse Approximations in Signal and Image Processing
Paris-Sud XI, Université de
Guest Editorial Sparse Approximations in Signal and Image Processing Sparse approximation to solve many other signal processing problems, including blind source separation, feature extraction techniques to images as well as audio and biomedical signals, new efficient im- plementations of greedy
On the complexity of approximating a nash equilibrium
Daskalakis, Constantinos
2011-01-01T23:59:59.000Z
We show that computing a relative---that is, multiplicative as opposed to additive---approximate Nash equilibrium in two-player games is PPAD-complete, even for constant values of the approximation. Our result is the first ...
Viscosity and Relaxation Approximation for Hyperbolic Systems of Conservation Laws
Tzavaras, Athanasios E.
Viscosity and Relaxation Approximation for Hyperbolic Systems of Conservation Laws Athanasios E with the approximation of conservation laws via viscosity or relaxation. The following topics are covered: The general structure of viscosity and relaxation approximations is discussed, as suggested by the second law
Numerical Approximation of Vortex Density Evolution in a Superconductor.
Styles, Vanessa
Numerical Approximation of Vortex Density Evolution in a Superconductor. C.M. Elliott & V. Styles Abstract A #12;nite volume/element approximation of a mean #12;eld model of superconducting vortices in one approximations of a two-dimensional version of the mean #12;eld model of superconducting vortices considered
Technical Note Variational free energy and the Laplace approximation
Daunizeau, Jean
Technical Note Variational free energy and the Laplace approximation Karl Friston,a, Jérémie October 2006 This note derives the variational free energy under the Laplace approximation, with a focus. This is relevant when using the free energy as an approximation to the log-evidence in Bayesian model averaging
Modulated power-law behaviour in Stirling's approximation
Hatton, Les
Modulated power-law behaviour in Stirling's approximation Les Hatton CISM, University of Kingston. This argument used Stirling's approximation which limits its relevance to larger component sizes. Although power to broaden Stirling's approximation to see if it corresponds with the departures from power-law observed
BUILDING SURROGATE MODELS BASED ON DETAILED AND APPROXIMATE SIMULATIONS
Seepersad, Carolyn Conner
- Page 1 - BUILDING SURROGATE MODELS BASED ON DETAILED AND APPROXIMATE SIMULATIONS Zhiguang Qian is taken to integrate data from approximate and detailed simulations to build a surrogate model approximate simulations form the bulk of the data, and they are used to build a model based on a Gaussian
Smoluchowski-Kramers approximation in the case of variable friction
Mark Freidlin; Wenqing Hu
2012-03-03T23:59:59.000Z
We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classical sense does not exist in this case. We study a modification of the Smoluchowski-Kramers approximation. Some applications of the Smoluchowski-Kramers approximation to problems with fast oscillating or discontinuous coefficients are considered.
Bond selective chemistry beyond the adiabatic approximation
Butler, L.J. [Univ. of Chicago, IL (United States)
1993-12-01T23:59:59.000Z
One of the most important challenges in chemistry is to develop predictive ability for the branching between energetically allowed chemical reaction pathways. Such predictive capability, coupled with a fundamental understanding of the important molecular interactions, is essential to the development and utilization of new fuels and the design of efficient combustion processes. Existing transition state and exact quantum theories successfully predict the branching between available product channels for systems in which each reaction coordinate can be adequately described by different paths along a single adiabatic potential energy surface. In particular, unimolecular dissociation following thermal, infrared multiphoton, or overtone excitation in the ground state yields a branching between energetically allowed product channels which can be successfully predicted by the application of statistical theories, i.e. the weakest bond breaks. (The predictions are particularly good for competing reactions in which when there is no saddle point along the reaction coordinates, as in simple bond fission reactions.) The predicted lack of bond selectivity results from the assumption of rapid internal vibrational energy redistribution and the implicit use of a single adiabatic Born-Oppenheimer potential energy surface for the reaction. However, the adiabatic approximation is not valid for the reaction of a wide variety of energetic materials and organic fuels; coupling between the electronic states of the reacting species play a a key role in determining the selectivity of the chemical reactions induced. The work described below investigated the central role played by coupling between electronic states in polyatomic molecules in determining the selective branching between energetically allowed fragmentation pathways in two key systems.
Employment and Staffing | Department of Energy
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on DeliciousPlasma |Efficiency Â» SearchtoMission Energy Saver6Clean DOEDOJAbout UsEmployee Separation: Completing HQ
Workforce Analysis and Staffing | Department of Energy
Broader source: Energy.gov (indexed) [DOE]
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 ofSubscribeDepartment(EAP) Bulletin,DepartmentEnergyDr.RoseSeptemberNewsletters
Federal Staffing Guide for Project Management
Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]
2010-06-03T23:59:59.000Z
This Guide provides an approach to determining the appropriate level and type of federal personnel needed to effectively plan, direct, and oversee project execution. Superseded by DOE G 413.3-19 Admin Chg 1.
The Numerical Approximation of Solutions of Partial Differential ...
2009-05-05T23:59:59.000Z
i.e., instead of thinking of the approximate solution as being linear between .... Consider the mildly nonlinear two-point boundary problem given by. ?(aux )x + c(
Approximation Algorithms for the Fault-Tolerant Facility Placement Problem
Yan, Li
2013-01-01T23:59:59.000Z
5.2 Algorithm ECHS with Ratio5.3 Algorithm EBGS with RatioFormulation 2.1.3 Approximation Algorithms . 2.1.4 Bifactor
Finding approximately rank-one submatrices with the nuclear norm ...
2010-11-08T23:59:59.000Z
a word in the language, excluding common words such as articles and prepositions. The (i, j) entry of ... quality of the approximation. One class of heuristic NMF ...
ON LEAST SQUARES EUCLIDEAN DISTANCE MATRIX APPROXIMATION AND COMPLETION
in biological or engineering applications, including molecular structure analysis, protein folding problem. distance geometry, least squares approximation, matrix completion, molecular structure, protein folding
ON LEAST SQUARES EUCLIDEAN DISTANCE MATRIX APPROXIMATION AND COMPLETION
in biological or engineering applications, including molecular structure analysis, protein folding problem approximation, matrix completion, molecular structure, protein folding, conformational analysis. 1. Introduction
Automating approximate Bayesian computation by local linear regression
Thornton, Kevin R
2009-01-01T23:59:59.000Z
computation by local linear regression Kevin R Thorntonof ABC based on using a linear regression to approximate theimplements the local linear-regression approach to ABC. The
Parametric Optimization of Artificial Neural Networks for Signal Approximation Applications
Parametric Optimization of Artificial Neural Networks for Signal Approximation Applications J. Lane.thames@gatech.edu randal.abler@gatech.edu dirk.schaefer@me.gatech.edu ABSTRACT Artificial neural networks are used to solve set of configuration parameters for artificial neural networks such that the network's approximation
L^p Bernstein Inequalities and Radial Basis Function Approximation
Ward, John P.
2012-10-19T23:59:59.000Z
proving Bernstein inequalites for the RBF approximants, we will be able to use them to derive corresponding inverse theorems. Direct theorems concerning approximation by RBFs will be the focus of Section 4 3. The abilty of Green’s functions to invert di...
Fresnel approximations for acoustic fields of rectangularly symmetric sources
Mast, T. Douglas
Fresnel approximations for acoustic fields of rectangularly symmetric sources T. Douglas Masta for determining the acoustic fields of rectangularly symmetric, baffled, time-harmonic sources under the Fresnel. The expressions presented are generalized to three different Fresnel approximations that correspond, respectively
Approximate and Multipartite Quantum Correlation (Communication) Zhaohui Wei
Jain, Rahul
classical distributions or bipartite quantum states in the single-shot setting by Zhang (Proc. 3rd Innov that the cost to approximate a bipartite quantum state equals that to approximate its exact purifications, which the latter. We characterize the relationship between them by giving upper and lower bounds. 4
Tutorial, GECCO'05, Washington D.C. Fitness Approximation
Yang, Shengxiang
1 Tutorial, GECCO'05, Washington D.C. Fitness Approximation in Evolutionary Computation Yaochu Jin Honda Research Institute Europe Khaled Rasheed University of Georgia Tutorial, GECCO'05, Washington D expensive fitness evaluations Tutorial, GECCO'05, Washington D.C. Fitness Approximation Methods · Problem
Uncertainty, Performance, and Model Dependency in Approximate Adaptive Nonlinear Control
Szepesvari, Csaba
Uncertainty, Performance, and Model Dependency in Approximate Adaptive Nonlinear Control M. French, and the performance of a class of approximate model based adaptive controllers is studied. An upper performance bound uncertainty model; control effort bounds require both L 2 and L 1 uncertainty models), and various structural
Technical Note Variational free energy and the Laplace approximation
Penny, Will
Technical Note Variational free energy and the Laplace approximation Karl Friston,a, Jérémie the variational free energy under the Laplace approximation, with a focus on accounting for additional model complexity induced by increasing the number of model parameters. This is relevant when using the free energy
Fast Vectorless Power Grid Verification Using an Approximate Inverse Technique
Najm, Farid N.
Fast Vectorless Power Grid Verification Using an Approximate Inverse Technique Nahi H. Abdul Ghani Department of ECE University of Toronto Toronto, Ontario, Canada f.najm@utoronto.ca ABSTRACT Power grid Aids General Terms Performance, Algorithms, Verification Keywords Power grid, voltage drop, approximate
An Approximate Inference Approach to Temporal Optimization in Optimal Control
Vijayakumar, Sethu
on iterative local approximations present a practical approach to optimal control in robotic systems. However the optimal control framework. The proposed approach, which is applicable to plants with non-linear dynamicsAn Approximate Inference Approach to Temporal Optimization in Optimal Control Konrad C. Rawlik
Pixelcuts: Scalable Approximate Illumination from Many Point Lights
Keinan, Alon
Pixelcuts: Scalable Approximate Illumination from Many Point Lights Pramook Khungurn, Thatchaphol approximate low-frequency illumination from many point lights. Its running time is O(n+mk) where n is the number of pixels, m is the number of point lights, and k is a constant the user specifies. Our algorithm
THE DIFFUSION APPROXIMATION FOR THE LINEAR BOLTZMANN EQUATION
THE DIFFUSION APPROXIMATION FOR THE LINEAR BOLTZMANN EQUATION WITH VANISHING SCATTERING COEFFICIENT equation, Diffusion approximation, Neutron transport equation, Radiative transfer equation subject, 23], neutron transport theory [27]. A typical model linear Boltzmann equation is (t +· x)f(t,x,)= 1
Approximation of Axisymmetric Darcy Flow V.J. Ervin
Ervin, Vincent J.
approximation of the Darcy equations in an ax- isymmetric domain, subject to axisymmetric data. Rewriting of convergence for the RT and BDM approximations. Key words. axisymmetric flow; Darcy equation, LBB condition AMSApproximation of Axisymmetric Darcy Flow V.J. Ervin Department of Mathematical Sciences Clemson
Approximate Dynamic Programming for Networks: Fluid Models and Constraint Reduction
Veatch, Michael H.
of approximating functions for the differential cost. The first contribution of this paper is identifying new or piece-wise quadratic. Fluid cost has been used to initialize the value iteration algorithm [5Approximate Dynamic Programming for Networks: Fluid Models and Constraint Reduction Michael H
Properties of the Boltzmann equation in the classical approximation
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Tanji, Naoto; Epelbaum, Thomas; Gelis, Francois; Wu, Bin
2014-12-01T23:59:59.000Z
We study the Boltzmann equation with elastic point-like scalar interactions in two different versions of the the classical approximation. Although solving numerically the Boltzmann equation with the unapproximated collision term poses no problem, this allows one to study the effect of the ultraviolet cutoff in these approximations. This cutoff dependence in the classical approximations of the Boltzmann equation is closely related to the non-renormalizability of the classical statistical approximation of the underlying quantum field theory. The kinetic theory setup that we consider here allows one to study in a much simpler way the dependence on the ultraviolet cutoff, since onemore »has also access to the non-approximated result for comparison.« less
Properties of the Boltzmann equation in the classical approximation
Tanji, Naoto [Nishina Center, RIKEN, Wako (Japan). Theoretical Research Division; Brookhaven National Lab. (BNL), Upton, NY (United States); Epelbaum, Thomas [Institut de Physique Theorique (France); Gelis, Francois [Institut de Physique Theorique (France); Wu, Bin [Institut de Physique Theorique (France)
2014-12-01T23:59:59.000Z
We study the Boltzmann equation with elastic point-like scalar interactions in two different versions of the the classical approximation. Although solving numerically the Boltzmann equation with the unapproximated collision term poses no problem, this allows one to study the effect of the ultraviolet cutoff in these approximations. This cutoff dependence in the classical approximations of the Boltzmann equation is closely related to the non-renormalizability of the classical statistical approximation of the underlying quantum field theory. The kinetic theory setup that we consider here allows one to study in a much simpler way the dependence on the ultraviolet cutoff, since one has also access to the non-approximated result for comparison.
The local potential approximation in the background field formalism
I. Hamzaan Bridle; Juergen A. Dietz; Tim R. Morris
2014-03-20T23:59:59.000Z
Working within the familiar local potential approximation, and concentrating on the example of a single scalar field in three dimensions, we show that the commonly used approximation method of identifying the total and background fields, leads to pathologies in the resulting fixed point structure and the associated spaces of eigenoperators. We then show how a consistent treatment of the background field through the corresponding modified shift Ward identity, can cure these pathologies, restoring universality of physical quantities with respect to the choice of dependence on the background field, even within the local potential approximation. Along the way we point out similarities to what has been previously found in the f(R) approximation in asymptotic safety for gravity.
A multiscale approximation algorithm for the cardinality constrained knapsack problem
Krishnan, Bharath Kumar
2006-01-01T23:59:59.000Z
I develop a multiscale approximation algorithm for the cardinality constrained knapsack problem. The algorithm consists of three steps: a rounding and reduction step where a hierarchical representation of the problem data ...
Mean Field Variational Approximations in Continuous-Time Markov Processes
Friedman, Nir
Mean Field Variational Approximations in Continuous-Time Markov Processes A thesis submitted Processes . . . . . . . . . . . . . . . . . . . 18 2.3 Continuous Time Markov Processes-component Representation - Continuous Time Bayesian Networks . 24 2.3.3 Inference in Continuous Time Markov Processes
The WKB approximation for a linear potential and ceiling
Zapata, Todd Austin
2009-05-15T23:59:59.000Z
The physical problem this thesis deals with is a quantum system with linear potential driving a particle away from a ceiling (impenetrable barrier). This thesis will construct the WKB approximation of the quantum mechanical propagator...
Approximate translation : media, narrative, and experience in urban design
Crisman, Jonathan
2013-01-01T23:59:59.000Z
Approximate translation is developed as a design process through which the place-embedded history of an urban environment can be understood, allowing for better design and intervention in that urban environment. Generally, ...
Fast Approximations for Online Scheduling of Outpatient Procedure ...
2014-06-18T23:59:59.000Z
Jun 18, 2014 ... ? > SmU , any permutation of items to bins that uses the full amount of ... approximation solution value will both tend to cf mU + cv(? ? SmU ).
Numerical Approximations of Stochastic Optimal Stopping and Control Problems
Siska, David
2007-01-01T23:59:59.000Z
We study numerical approximations for the payoff function of the stochastic optimal stopping and control problem. It is known that the payoff function of the optimal stopping and control problem corresponds to the solution ...
Approximate dynamic programming with applications in multi-agent systems
Valenti, Mario J. (Mario James), 1976-
2007-01-01T23:59:59.000Z
This thesis presents the development and implementation of approximate dynamic programming methods used to manage multi-agent systems. The purpose of this thesis is to develop an architectural framework and theoretical ...
Approximate inference : decomposition methods with applications to networks
Jung, Kyomin
2009-01-01T23:59:59.000Z
Markov random field (MRF) model provides an elegant probabilistic framework to formulate inter-dependency between a large number of random variables. In this thesis, we present a new approximation algorithm for computing ...
Approximate Description of the Mandelbrot Set. Thermodynamic Analogy
O. B. Isaeva; S. P. Kuznetsov
2005-04-29T23:59:59.000Z
Analogy between an approximate version of Feigenbaum renormalization group analysis in complex domain and the phase transition theory of Yang-Lee (based on consideration of formally complexified thermodynamic values) is discussed. It is shown that the Julia sets of the renormalization transformation correspond to the approximation of Mandelbrot set of the original map. New aspects of analogy between the theory of dynamical systems and the phase transition theory are uncovered.
Resonant-state expansion Born Approximation applied to Schrodinger's Equation
Doost, M B
2015-01-01T23:59:59.000Z
The RSE Born Approximation is a new scattering formula in Physics, it allows the calculation of strong scattering via the Fourier transform of the scattering potential and Resonant-states. In this paper I apply the RSE Born Approximation to Schr\\"odinger's Equation. The resonant-states of the system can be calculated using the recently discovered RSE perturbation theory and normalised correctly to appear in spectral Green's functions via the flux volume normalisation.
Mean field approximation for noisy delay coupled excitable neurons
Nikola Buric; Dragana Rankovic; Kristina Todorovic; Nebojsa Vasovic
2010-03-26T23:59:59.000Z
Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by $N\\gg 1$ stochastic delay-differential equations is derived. The resulting approximation contains only two deterministic delay-differential equations but provides excellent predictions concerning the stability and bifurcations of the averaged global variables of the exact large system.
Choosing the Summary Statistics and the Acceptance Rate in Approximate Bayesian
Blum, Michael G. B.
Choosing the Summary Statistics and the Acceptance Rate in Approximate Bayesian Computation or not. In this paper, I incorporate Approximate Bayesian Computation into a local Bayesian regression Computation, evidence approximation, empirical Bayes, Bayesian local regression 1 Introduction Approximate
Variational principles with Padé approximants for tearing mode analysis
Cole, Andrew J. [Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027 (United States)] [Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027 (United States); Finn, John M. [Applied Mathematics and Plasma Physics, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87544 (United States)] [Applied Mathematics and Plasma Physics, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87544 (United States)
2014-03-15T23:59:59.000Z
Tearing modes occur in several distinct physical regimes, and it is often important to compute the inner layer response for these modes with various effects. There is a need for an approximate and efficient method of solving the inner layer equations in all these regimes. In this paper, we introduce a method of solving the inner layer equations based on using a variational principle with Padé approximants. For all the regimes considered, the main layer equations to be solved are inhomogeneous, and Padé approximants give a convenient and efficient method of satisfying the correct asymptotic behavior at the edge of the layer. Results using this variational principle—Padé approximant method in three of these regimes is presented. These regimes are the constant-? resistive-inertial (RI) regime, the constant-? viscoresistive regime, and the non-constant-? inviscid tearing regime. The last regime includes the constant-? RI regime and the inertial regime. The results show that reasonable accuracy can be obtained very efficiently with Padé approximants having a small number of parameters.
Fourth-post-Newtonian-exact approximation to General Relativity
David Brizuela; Gerhard Schaefer
2010-04-12T23:59:59.000Z
An approximation to General Relativity is presented that agrees with the Einstein field equations up to and including the fourth post-Newtonian (PN) order. This approximation is formulated in a fully constrained scheme: all involved equations are explicitly elliptic except the wave equation that describes the two independent degrees of freedom of the gravitational field. The formalism covers naturally the conformal-flat-condition (CFC) approach by Isenberg, Wilson, and Mathews and the improved second PN-order exact approach CFC+. For stationary configurations, like Kerr black holes, agreement with General Relativity is achieved even through 5PN order. In addition, a particularly interesting 2PN-exact waveless approximation is analyzed in detail, which results from imposing more restrictive conditions. The proposed scheme can be considered as a further development on the waveless approach suggested by Schaefer and Gopakumar [Phys. Rev. D {\\bf 69}, 021501 (2004)].
Non-perturbative QCD amplitudes in quenched and eikonal approximations
Fried, H.M. [Physics Department, Brown University, Providence, RI 02912 (United States); Grandou, T., E-mail: Thierry.Grandou@inln.cnrs.fr [Université de Nice-Sophia Antipolis, Institut Non Linéaire de Nice, UMR 6618 CNRS 7335, 1361 routes des Lucioles, 06560 Valbonne (France); Sheu, Y.-M., E-mail: ymsheu@alumni.brown.edu [Université de Nice-Sophia Antipolis, Institut Non Linéaire de Nice, UMR 6618 CNRS 7335, 1361 routes des Lucioles, 06560 Valbonne (France)
2014-05-15T23:59:59.000Z
Even though approximated, strong coupling non-perturbative QCD amplitudes remain very difficult to obtain. In this article, in eikonal and quenched approximations at least, physical insights are presented that rely on the newly-discovered property of effective locality. The present article also provides a more rigorous mathematical basis for the crude approximations used in the previous derivation of the binding potential of quarks and nucleons. Furthermore, the techniques of Random Matrix calculus along with Meijer G-functions are applied to analyze the generic structure of fermionic amplitudes in QCD. - Highlights: • We discuss the physical insight of effective locality to QCD fermionic amplitudes. • We show that an unavoidable delta function goes along with the effective locality property. • The generic structure of QCD fermion amplitudes is obtained through Random Matrix calculus.
Approximations by gravitational fields due to restricted unit point masses
Shull, Carolyn Sue Flowers
1973-01-01T23:59:59.000Z
approximations by Chui (1, 3, 4j and D. J. Newman $12$. Some open problems will be discussed including a conjecture by Chui f2]. I ht th ' th ~Pdl f~hA 1 Mth i I ~gociet is used as a pattern for format, CHAPTER I UNIFORM APPROXIMATION ON COMPACT SETS Let C... free analytic functions in D are not approximable. Also the following result was obtained in fgj . THEOREM 1. 4. A closed set R dis oint from a domain D which lies in som h lf- 1 ne H is ol omial a roximation set relative t b~fl fRt~tbf th I t f3d...
Trigonometric Pade approximants for functions with regularly decreasing Fourier coefficients
Labych, Yuliya A; Starovoitov, Alexander P [Gomel State University, Gomel (Belarus)
2009-08-31T23:59:59.000Z
Sufficient conditions describing the regular decrease of the coefficients of a Fourier series f(x)=a{sub 0}/2 + {sigma} a{sub n} cos kx are found which ensure that the trigonometric Pade approximants {pi}{sup t}{sub n,m}(x;f) converge to the function f in the uniform norm at a rate which coincides asymptotically with the highest possible one. The results obtained are applied to problems dealing with finding sharp constants for rational approximations. Bibliography: 31 titles.
On the approximation of crack shapes found during inservice inspection
Bhate, S.R.; Chawla, D.S.; Kushwaha, H.S. [Bhabha Atomic Research Centre, Bombay (India)] [and others
1997-04-01T23:59:59.000Z
This paper addresses the characterization of axial internal flaw found during inservice inspection of a pipe. J-integral distribution for various flaw shapes is obtained using line spring finite, element method. The peak J-value and its distribution across the crack is found to be characteristic feature of each shape. The triangular shape yields peak J-value away from the center, the point of depth. The elliptic approximation results in large overestimate of J-value for unsymmetric flaws. Triangular approximation is recommended for such flaws so that further service can be obtained from the component.
L^p Bernstein Inequalities and Radial Basis Function Approximation
Ward, John P.
2012-10-19T23:59:59.000Z
are bounded in terms of certain measurements of the set X. The error of approximation will typically be given in terms of the ll distance hX = sup x2Rd inf 2X jjx jj2 ; which measures how far a point in Rd can be from X, and the stability of the ap... will typically be restricted to sets X for which hX is comparable to qX , and sets for which the mesh ratio X := hX=qX is bounded by a constant will be called quasi-uniform. In this paper, we will only consider approximation spaces SX( ) where X is quasi...
Securely Computing an Approximate Median in Wireless Sensor Networks
Setia, Sanjeev
Securely Computing an Approximate Median in Wireless Sensor Networks Sankardas Roy 1 sroy1@gmu and the unattended nature of sensor nodes, sensor network protocols need to be designed with security in mind and efficient. Categories and Subject Descriptors C.2.0 [Computer-Communication Networks]: General- Security
Successive Rank-One Approximations of Nearly Orthogonally ...
2015-03-01T23:59:59.000Z
Mar 1, 2015 ... approximating SROA based on the power iteration method of [DLDMV00]. There ... perturbation E is sufficiently small (roughly on the order of 1/n under a natural measure). ... A real p-th order n-dimensional tensor ? ? ? p. R.
Non-linear regression models for Approximate Bayesian Computation
Robert, Christian P.
Non-linear regression models for Approximate Bayesian Computation (ABC) Michael Blum Olivier ABC #12;Blum and OF (2009) suggest the use of non-linear conditional heteroscedastic regression models) Linear regression-based ABC can sometimes be improved #12;abc of ABC Using stochastic simulations
Sensitivity, Approximation and Uncertainty in Power System Dynamic Simulation
1 Sensitivity, Approximation and Uncertainty in Power System Dynamic Simulation Ian A. Hiskens, Fellow, IEEE Jassim Alseddiqui Student Member, IEEE Abstract-- Parameters of power system models the influence of uncertainty in simulations of power system dynamic behaviour. It is shown that trajectory
A new shallow approximation for tridimensional non-isothermal viscoplastic
Saramito, Pierre
. The risk assessments for volcanic lava flow pose a difficult challenge to numerical methods. Indeed approximated by an autoadaptive finite element method, based on the Rheolef C++ library, allowing to track with non-isothermal experimental measurements for a silicone oil dome. Next, the December 2010 eruption
Continued fractions with low complexity: Transcendence measures and quadratic approximation
Bugeaud, Yann
expansion of an irrational algebraic number either is ultimately periodic (this is the case if, and only if. Theorems 3.2 and 3.3 give transcendence mea- sures for a class of transcendental numbers defined by theiContinued fractions with low complexity: Transcendence measures and quadratic approximation Yann
Local RBF Approximation for Scattered Data Fitting with Bivariate Splines
Davydov, Oleg
and large scale optimization problems arising if the interpolating, smoothing or minimal energy spline in [5], a hybrid polynomial/radial basis scheme was considered in [4], where the local knot locations of radial basis functions, so defining hybrid approximations which are still computed by discrete least
How Synchronisation Strategy Approximation in PEPA Implementations affects Passage Time
Imperial College, London
time densities and dis- tributions from stochastic models defined in PEPA, a stochastic process algebra. In stochastic process algebras, the synchronisation policy is important for defin- ing how different system;good approximation to underlying aggregate complex but deterministic dynamics or genuine random
How Synchronisation Strategy Approximation in PEPA Implementations affects Passage Time
Bradley, Jeremy
passage time densities and dis tributions from stochastic models defined in PEPA, a stochastic process algebra. In stochastic process algebras, the synchronisation policy is important for defin ing how, or a #12; good approximation to underlying aggregate complex but deterministic dynamics or genuine random
Jitter-Approximation Tradeoff for Periodic Scheduling Zvika Brakerski
Patt-Shamir, Boaz
Jitter-Approximation Tradeoff for Periodic Scheduling Zvika Brakerski Dept. of Electrical the average period of a job in the schedule is blown up w.r.t. its requested period, and the jitter ratio with low jitter ratio allow the mobile devices to save power by hav- ing their receivers switched off
Approximating many-body induction to efficiently describe molecular liquids
Herbert, John
on the structure and solvation dynamics of the excess electron (in the ground state) but does have a large impact as the structures and properties of molecular systems. This study focuses on approximating many-body electronic methods in order to allow "on-the-fly" energy and force evaluations in dynamical calculations
Dynamic Adaptive Search Based Software Engineering Needs Fast Approximate Metrics
Harman, Mark
1 Dynamic Adaptive Search Based Software Engineering Needs Fast Approximate Metrics Mark Harman. University College Dublin, Ireland. Abstract--Search Based Software Engineering (SBSE) uses fitness functions to guide an automated search for solutions to challenging software engineering problems. The fitness
Novel approximations for inference and learning in nonlinear dynamical systems
Heskes, Tom
Novel approximations for inference and learning in nonlinear dynamical systems Alexander Ypma #3 from marketing research. 1 Introduction Many real-world systems are nonlinear, dynamical and stochastic in nature. Inference and learning of nonlinear system models with hidden dynamics is a diÆcult task, which
Approximation in Mechanism Design By JASON D. HARTLINE
Hartline, Jason D.
Approximation in Mechanism Design By JASON D. HARTLINE A mechanism gives a mapping between will arise in the equilibrium of selfish agent play. Mechanism design then considers the optimization question of what mechanisms have good outcomes in equilibrium. Optimal mechanism design searches
August and September Approximately 29 percent from husks
minutes. Cool promptly in several changes of cold water and drain. Whole-kernel corn: Cut kernels from. Scrape the cobs with the back of the knife to remove the juice and the hearts of the kernels. Pack corn for approximately the same length of time the corn was blanched) and drain well. Tightly ',vrap ears individually
New approximate radial wave functions for power-law potentials
Vladimir Kudryashov
2007-09-26T23:59:59.000Z
Radial wave functions for power-law potentials are approximated with the help of power-law substitution and explicit summation of the leading constituent WKB series. Our approach reproduces the correct behavior of the wave functions at the origin, at the turning points and far away from the turning points
Approximate Inference in Probabilistic Models Manfred Opper1
of Electronics and Computer Science University of Southampton SO17 1BJ, United Kingdom mo@ecs.soton.ac.uk 2 on free energies. The free energy is constructed from two approximating distributions which encode differ Energy (GFE), an entropic quantity which (originally developed in Statistical Physics) allows us
Approximate Dynamic Programming in Transportation and Logistics: A Unified Framework
Powell, Warren B.
Approximate Dynamic Programming in Transportation and Logistics: A Unified Framework Warren B Engineering Princeton University, Princeton, NJ 08544 European J. of Transportation and Logistics, Vol. 1, No optimization has enjoyed a rich place in transportation and logistics, where it repre- sents a mature field
Exploiting Correlated Keywords to Improve Approximate Information Filtering
Tryfonopoulos, Christos
, Christos Tryfonopoulos, and Gerhard Weikum Databases and Information Systems Department Max-Planck Institut- scribe to information sources and be notified whenever new documents of interest are published. In approximate infor- mation filtering only selected information sources, that are likely to publish documents
Clustering With or Without the Approximation Frans Schalekamp
Schalekamp, Frans
Clustering With or Without the Approximation Frans Schalekamp ITCS, Tsinghua University Michael Yu MIT Anke van Zuylen ITCS, Tsinghua University Abstract We study algorithms for clustering data if we do not know values of and for which the assumption holds. Finally, we implement these methods
Boundary approximate controllability of some linear parabolic April 5, 2013
Paris-Sud XI, Université de
Boundary approximate controllability of some linear parabolic systems April 5, 2013 Guillaume Olive controllability of two classes of linear parabolic systems, namely a system of n heat equations coupled through are the only ones concerning the boundary controllability of linear parabolic systems of heat-type. For more
Approximating Radon measures on first--countable compact spaces
Plebanek, Grzegorz
Approximating Radon measures on first--countable compact spaces Grzegorz Plebanek (Wroc/law) Abstract The assertion every Radon measure defined on a first--countable compact space is uniformly regular under CH. In this note we consider some properties of finite Radon measures defined on compact spaces
The Exemplar Breakpoint Distance for nontrivial genomes cannot be approximated
Fertin, Guillaume
The Exemplar Breakpoint Distance for nonÂtrivial genomes cannot be approximated Guillaume Blin 1 Â France guillaume.fertin@univÂnantes.fr Abstract. A promising and active field of comparative genomics conÂ sists in comparing two genomes by establishing a oneÂtoÂone corresponÂ dence (i.e., a matching) between
Self-similar and charged spheres in the diffusion approximation
W. Barreto; A. Da Silva
2005-08-12T23:59:59.000Z
We study spherical, charged and self--similar distributions of matter in the diffusion approximation. We propose a simple, dynamic but physically meaningful solution. For such a solution we obtain a model in which the distribution becomes static and changes to dust. The collapse is halted with damped mass oscillations about the absolute value of the total charge.
An Equivalence Between Sparse Approximation and Support Vector Machines 1
Poggio, Tomaso
An Equivalence Between Sparse Approximation and Support Vector Machines 1 Federico Girosi Center is equivalent to SVM in the following sense: if applied to the same data set the two techniques give the same; Chen, Donoho and Saunders, 1995), are actually equivalent, in the case of noiseless data. By equivalent
Aqua: A Fast Decision Support System Using Approximate Query Answers
Gibbons, Phillip B.
commercial relational DBMS. Aqua precomputes synopses (special sta- tistical summaries) of the original data and stores them in the DBMS. It provides approximate an- swers (with quality guarantees) by rewriting on top of any SQL- compliant DBMS managing a data warehouse. Aqua pre- computes statistical summaries
Approximate Minimum-Energy Multicasting in Wireless Ad Hoc Networks
Liang, Weifa
Approximate Minimum-Energy Multicasting in Wireless Ad Hoc Networks Weifa Liang, Senior Member, IEEE Abstract--A wireless ad hoc network consists of mobile nodes that are equipped with energy on energy conservation in wireless ad hoc networks have been conducted. For example, energy efficient
Geometric Wavelet Approximations and Abdourrahmane M. Atto1
Paris-Sud XI, Université de
1 Geometric Wavelet Approximations and Dierencing Abdourrahmane M. Atto1 , Emmanuel Trouve2 Jean-Marie Nicolas3 , Abstract--The paper introduces the concept of ge- ometric wavelets defined from multiplicative algebras. These wavelets perform generalized geometric approx- imations and differencing. The paper also
A Study of Approximate Data Management Techniques for Sensor Networks
Martin, Ralph R.
the monitoring operation of sensor nodes by efficiently using their limited energy, bandwidth and computation. The network can therefore be treated as a distributed sensor data management system. Sensor networks differA Study of Approximate Data Management Techniques for Sensor Networks Adonis Skordylis, Niki
3-D cinematography with approximate and no geometry
Magnor, Marcus
3-D cinematography with approximate and no geometry Martin Eisemann, Timo Stich and Marcus Magnor Abstract 3-D cinematography is a new step towards full immersive video, allow- ing complete control of the book Image and Geometry Processing for 3-D Cinematography published by Springer. 1 Introduction
A COMPUTATONAL METHOD FOR APPROXIMATING A DARCY-STOKES SYSTEM
Arbogast, Todd
of a second order elliptic (i.e., Darcy) equation on part of the domain coupled to a Stokes equation equation representing Darcy's law and mass conservation, and in the vugs s = \\ ¯d by the Stokes equationA COMPUTATONAL METHOD FOR APPROXIMATING A DARCY-STOKES SYSTEM GOVERNING A VUGGY POROUS MEDIUM TODD
Accelerating Search of Approximate Match on Large Protein Sequence Databases
Wang, Wei
of supporting indexed search on large biological sequence databases since the construction cost of the index Yang 2 , Yi Xia 3 , Philip Yu 4 Keywords: protein sequence index, approximate match. Due. Building an appropriate index structure is one of the possibilities to achieve such a goal, which
Benchmarking a Scalable Approximate Dynamic Programming Algorithm for Stochastic Control
Powell, Warren B.
for the optimal control of such power systems are critical for the deployment of reliable and more economical and within 1.34% in stochastic ones, much lower than those obtained using model predictive control. We useBenchmarking a Scalable Approximate Dynamic Programming Algorithm for Stochastic Control
Approximate bisimulation for a class of stochastic hybrid systems
Pappas, George J.
, target tracking, robotics, and power systems [35]. The field of stochastic hybrid systems is a veryApproximate bisimulation for a class of stochastic hybrid systems (Invited Paper) Agung Julius of stochastic hybrid systems, namely, the jump linear stochastic systems (JLSS). The idea is based
Fast approximation of the bootstrap for model selection
Verleysen, Michel
Fast approximation of the bootstrap for model selection G. Simon1 , A. Lendasse2 , V. Wertz2 , M. The bootstrap resampling method may be efficiently used to estimate the generalization error of a family with the bootstrap in real-world applications is the high computation load. In this paper we propose a simple
Bootstrap for model selection: linear approximation of the optimism
Verleysen, Michel
Bootstrap for model selection: linear approximation of the optimism G. Simon1 , A. Lendasse2 , M. Lemaître 4, B-1348 Louvain-la-Neuve, Belgium, lendasse@auto.ucl.ac.be Abstract. The bootstrap resampling, as artificial neural networks. Nevertheless, the use of the bootstrap implies a high computational load
APPROXIMATION THEORY OF OUTPUT STATISTICS Dept. Information Systems
Verdú, Sergio
. In order to generate a ran- dom process we assume that a primary random source with an equiprobableAPPROXIMATION THEORY OF OUTPUT STATISTICS Te Sun Han Dept. Information Systems Senshu University-length) source coding rate of any finite-alphabet source, and a strong converse of the identijication coding
Quasielastic electron-deuteron scattering in the weak binding approximation
Ethier, Jacob J. [William and Mary College, JLAB; Doshi, Nidhi P. [Carnegie Mellon University; Malace, Simona P. [JLAB; Melnitchouk, Wally [JLAB
2014-06-01T23:59:59.000Z
We perform a global analysis of all available electron-deuteron quasielastic scattering data using Q^2-dependent smearing functions that describe inclusive inelastic e-d scattering within the weak binding approximation. We study the dependence of the cross sections on the deuteron wave function and the off-shell extrapolation of the elastic electron-nucleon cross section, which show particular sensitivity at x >> 1. The excellent overall agreement with data over a large range of Q^2 and x suggest a limited need for effects beyond the impulse approximation, with the exception of the very high-x or very low-Q^2 regions, where short-distance effects in the deuteron become more relevant.
Quantum optimal control within the rotating wave approximation
Maximilian Keck; Matthias M. Müller; Tommaso Calarco; Simone Montangero
2015-03-06T23:59:59.000Z
We study the interplay between rotating wave approximation and optimal control. In particular, we show that for a wide class of optimal control problems one can choose the control field such that the Hamiltonian becomes time-independent under the rotating wave approximation. Thus, we show how to recast the functional minimization defined by the optimal control problem into a simpler multi-variable function minimization. We provide the analytic solution to the state-to-state transfer of the paradigmatic two-level system and to the more general star configuration of an $N$-level system. We demonstrate numerically the usefulness of this approach in the more general class of connected acyclic $N$-level systems with random spectra. Finally, we use it to design a protocol to entangle Rydberg via constant laser pulses atoms in an experimentally relevant range of parameters.
On approximate controllability of generalized KdV solitons
Claudio Muñoz
2014-05-24T23:59:59.000Z
We consider the approximate control of solitons in generalized Korteweg-de Vries equations. By introducing a suitable internal bilinear control on the equation, we prove that any soliton is locally null controllable, and moreover, any soliton can be accelerated to any particular positive velocity, after a suitable large amount of time. Precise estimates on the error terms and the rate of decay in the approximate null controllability result are also given. Our method introduces a new insight on the control of nonlinear objects, from the point of view of interaction and collision problems for nonlinear dispersive equations, recently developed by Y. Martel and F. Merle. It can be applied in principle, to several other models with soliton solutions.
Feedback stabilisation of switched systems via iterative approximate eigenvector assignment
Haimovich, Hernan
2010-01-01T23:59:59.000Z
This paper presents and implements an iterative feedback design algorithm for stabilisation of discrete-time switched systems under arbitrary switching regimes. The algorithm seeks state feedback gains so that the closed-loop switching system admits a common quadratic Lyapunov function (CQLF) and hence is uniformly globally exponentially stable. Although the feedback design problem considered can be solved directly via linear matrix inequalities (LMIs), direct application of LMIs for feedback design does not provide information on closed-loop system structure. In contrast, the feedback matrices computed by the proposed algorithm assign closed-loop structure approximating that required to satisfy Lie-algebraic conditions that guarantee existence of a CQLF. The main contribution of the paper is to provide, for single-input systems, a numerical implementation of the algorithm based on iterative approximate common eigenvector assignment, and to establish cases where such algorithm is guaranteed to succeed. We inc...
Exploring approximations to the GW self-energy ionic gradients
Faber, C; Attaccalite, C; Cannuccia, E; Duchemin, I; Deutsch, T; Blase, X
2015-01-01T23:59:59.000Z
The accuracy of the many-body perturbation theory GW formalism to calculate electron-phonon coupling matrix elements has been recently demonstrated in the case of a few important systems. However, the related computational costs are high and thus represent strong limitations to its widespread application. In the present study, we explore two less demanding alternatives for the calculation of electron-phonon coupling matrix elements on the many-body perturbation theory level. Namely, we test the accuracy of the static Coulomb-hole plus screened-exchange (COHSEX) approximation and further of the constant screening approach, where variations of the screened Coulomb potential W upon small changes of the atomic positions along the vibrational eigenmodes are neglected. We find this latter approximation to be the most reliable, whereas the static COHSEX ansatz leads to substantial errors. Our conclusions are validated in a few paradigmatic cases: diamond, graphene and the C60 fullerene. These findings open the way f...
On the Peterlin approximation for turbulent flows of polymer solutions
Dario Vincenzi; Prasad Perlekar; Luca Biferale; Federico Toschi
2015-05-26T23:59:59.000Z
We study the impact of the Peterlin approximation on the statistics of the end-to-end separation of poly- mers in a turbulent flow. The FENE and FENE-P models are numerically integrated along a large number of Lagrangian trajectories resulting from a direct numerical simulation of three-dimensional homogeneous isotropic turbulence. Although the FENE-P model yields results in qualitative agreement with those of the FENE model, quantitative differences emerge. The steady-state probability of large extensions is overesti- mated by the FENE-P model. The alignment of polymers with the eigenvectors of the rate-of-strain tensor and with the direction of vorticity is weaker when the Peterlin approximation is used. At large Weissenberg numbers, both the correlation times of the extension and of the orientation of polymers are underestimated by the FENE-P model.
On the Peterlin approximation for turbulent flows of polymer solutions
Vincenzi, Dario; Biferale, Luca; Toschi, Federico
2015-01-01T23:59:59.000Z
We study the impact of the Peterlin approximation on the statistics of the end-to-end separation of poly- mers in a turbulent flow. The FENE and FENE-P models are numerically integrated along a large number of Lagrangian trajectories resulting from a direct numerical simulation of three-dimensional homogeneous isotropic turbulence. Although the FENE-P model yields results in qualitative agreement with those of the FENE model, quantitative differences emerge. The steady-state probability of large extensions is overesti- mated by the FENE-P model. The alignment of polymers with the eigenvectors of the rate-of-strain tensor and with the direction of vorticity is weaker when the Peterlin approximation is used. At large Weissenberg numbers, both the correlation times of the extension and of the orientation of polymers are underestimated by the FENE-P model.
Studies in Interpolation and Approximation of Multivariate Bandlimited Functions
Bailey, Benjamin Aaron
2012-10-19T23:59:59.000Z
&M University in partial ful llment of the requirements for the degree of DOCTOR OF PHILOSOPHY Approved by: Co-Chairs of Committee, Thomas Schlumprecht N. Sivakumar Committee Members, Joel Zinn William Johnson Fred Dahm Head of Department, Albert...{Chairs of Advisory Committee: Dr. Thomas Schlumprecht Dr. N. Sivakumar The focus of this dissertation is the interpolation and approximation of multi- variate bandlimited functions via sampled (function) values. The rst set of results investigates polynomial...
New Algorithms for Finding Approximate Frequent Item Sets
Berthold, Michael R.
New Algorithms for Finding Approximate Frequent Item Sets Christian Borgelt1 , Christian Braune1,2 , Tobias KÂ¨otter3 and Sonja GrÂ¨un4,5 1 European Centre for Soft Computing c/ Gonzalo GutiÂ´errez QuirÂ´os s/n.borgelt@softcomputing.es, christian.braune@st.ovgu.de, tobias.koetter@uni-konstanz.de, s.gruen@fz-juelich.de Abstract. In standard
Denoising MR Spectroscopic Imaging Data with Low-Rank Approximations
Do, Minh N.
1 Denoising MR Spectroscopic Imaging Data with Low-Rank Approximations Hien M. Nguyen, Member, IEEE- temporal imaging data as well. Index Terms--MR spectroscopy, MR spectroscopic imaging, denoising, low spectroscopic (MRS) signal in (k, t)-space can be expressed as s(k, t) = (r, f)e-i2k·r e-i2ft drdf + (k, t), (1
Product-state Approximations to Quantum Ground States
Fernando G. S. L. Brandão; Aram W. Harrow
2014-12-15T23:59:59.000Z
The local Hamiltonian problem consists of estimating the ground-state energy (given by the minimum eigenvalue) of a local quantum Hamiltonian. First, we show the existence of a good product-state approximation for the ground-state energy of 2-local Hamiltonians with one or more of the following properties: (1) high degree, (2) small expansion, or (3) a ground state with sublinear entanglement with respect to some partition into small pieces. The approximation based on degree is a surprising difference between quantum Hamiltonians and classical CSPs (constraint satisfaction problems), since in the classical setting, higher degree is usually associated with harder CSPs. The approximation based on low entanglement, in turn, was previously known only in the regime where the entanglement was close to zero. Since the existence of a low-energy product state can be checked in NP, the result implies that any Hamiltonian used for a quantum PCP theorem should have: (1) constant degree, (2) constant expansion, (3) a "volume law" for entanglement with respect to any partition into small parts. Second, we show that in several cases, good product-state approximations not only exist, but can be found in polynomial time: (1) 2-local Hamiltonians on any planar graph, solving an open problem of Bansal, Bravyi, and Terhal, (2) dense k-local Hamiltonians for any constant k, solving an open problem of Gharibian and Kempe, and (3) 2-local Hamiltonians on graphs with low threshold rank, via a quantum generalization of a recent result of Barak, Raghavendra and Steurer. Our work introduces two new tools which may be of independent interest. First, we prove a new quantum version of the de Finetti theorem which does not require the usual assumption of symmetry. Second, we describe a way to analyze the application of the Lasserre/Parrilo SDP hierarchy to local quantum Hamiltonians.
Crystallization of polyethylene by modified weighted density approximation(MWDA)
Razeghizadeh, Alireza; Lavafpour, Farhad
2015-01-01T23:59:59.000Z
In this article, we use the modified weighted density approximation to study the crystallization of polyethylene. We also use a direct correlation function of polyethylene based on RISM theory. The free energy of a polyethylene is calculated using density functional theory. The crystallization and solid and liquid density are calculated and finally compared with the prism simulation and experimental results. That shown the result obtained by MWDA is in better agreement, compared with the experimental result than the prism.
Crystallization of polyethylene by modified weighted density approximation(MWDA)
Alireza Razeghizadeh; Vahdat Rafee; Farhad Lavafpour
2015-02-07T23:59:59.000Z
In this article, we use the modified weighted density approximation to study the crystallization of polyethylene. We also use a direct correlation function of polyethylene based on RISM theory. The free energy of a polyethylene is calculated using density functional theory. The crystallization and solid and liquid density are calculated and finally compared with the prism simulation and experimental results. That shown the result obtained by MWDA is in better agreement, compared with the experimental result than the prism.
The periodic standing-wave approximation: post-Minkowski computation
Christopher Beetle; Benjamin Bromley; Napoleón Hernández; Richard H. Price
2007-08-08T23:59:59.000Z
The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling motion of black holes and binary stars. Previous work on this model has dealt with nonlinear scalar models, and with linearized general relativity. Here we present the results of the method for the post-Minkowski (PM) approximation to general relativity, the first step beyond linearized gravity. We compute the PM approximation in two ways: first, via the standard approach of computing linearized gravitational fields and constructing from them quadratic driving sources for second-order fields, and second, by solving the second-order equations as an ``exact'' nonlinear system. The results of these computations have two distinct applications: (i) The computational infrastructure for the ``exact'' PM solution will be directly applicable to full general relativity. (ii) The results will allow us to begin supplying initial data to collaborators running general relativistic evolution codes.
Generalized random phase approximation of soft-matter systems
Derek Frydel
2015-07-30T23:59:59.000Z
A general RPA approximation is developed within the liquid-state formalism as a systematic first step beyond the mean-field and toward a more realistic description of the weak-coupling regime. The resulting RPA is self-consistent and, in principle, valid for arbitrary particle interactions. RPA is introduced into the liquid-state framework via adiabatic connection -- by adiabatically switching on the particle interactions while keeping the particle density fixed at its physical value by means of an auxiliary external potential. Correlational free energy Fc involves a coupling-strength integral $\\int_0^1d{\\lambda}\\,h_{\\lambda}({\\bf r},{\\bf r}')$, where a correlation function of a fictitious system, $h_{\\lambda}({\\bf r},{\\bf r}')$, is obtained from the Ornstein-Zernike equation and an appropriate closure relation. The closure $c_{\\lambda}({\\bf r},{\\bf r}')=-\\beta\\lambda u({\\bf r},{\\bf r}')$ yields the RPA approximation. The coupling constant integral within Fc can alternatively be expressed as a summation of ring diagrams to infinite order, a known feature of RPA. The ring series can, in turn, be linked to a functional determinant known to be a solution of a Gaussian integral, therefore, connecting the RPA to the Gaussian type of an approximation.
Como, Giacomo
Automating efficiency-targeted approximations in modelling and simulation tools: dynamic decoupling (classical) efficiency-targeted approximation tech- niques, within a unified framework. Some application
Dynamics of false vacuum bubbles: beyond the thin shell approximation
Jakob Hansen; Dong-il Hwang; Dong-han Yeom
2009-11-08T23:59:59.000Z
We numerically study the dynamics of false vacuum bubbles which are inside an almost flat background; we assumed spherical symmetry and the size of the bubble is smaller than the size of the background horizon. According to the thin shell approximation and the null energy condition, if the bubble is outside of a Schwarzschild black hole, unless we assume Farhi-Guth-Guven tunneling, expanding and inflating solutions are impossible. In this paper, we extend our method to beyond the thin shell approximation: we include the dynamics of fields and assume that the transition layer between a true vacuum and a false vacuum has non-zero thickness. If a shell has sufficiently low energy, as expected from the thin shell approximation, it collapses (Type 1). However, if the shell has sufficiently large energy, it tends to expand. Here, via the field dynamics, field values of inside of the shell slowly roll down to the true vacuum and hence the shell does not inflate (Type 2). If we add sufficient exotic matters to regularize the curvature near the shell, inflation may be possible without assuming Farhi-Guth-Guven tunneling. In this case, a wormhole is dynamically generated around the shell (Type 3). By tuning our simulation parameters, we could find transitions between Type 1 and Type 2, as well as between Type 2 and Type 3. Between Type 2 and Type 3, we could find another class of solutions (Type 4). Finally, we discuss the generation of a bubble universe and the violation of unitarity. We conclude that the existence of a certain combination of exotic matter fields violates unitarity.
Dark Energy Regulation with Approximate Emergent Conformal Symmetry
Yongsung Yoon
2013-08-28T23:59:59.000Z
A cosmic potential which can relax the vacuum energy is proposed in a framework of scalar-tensor gravity. In the phase of the gravity scalar field around the evolution with an approximate emergent conformal symmetry, we have obtained a set of cosmological equations with the dark energy regulated to the order of a conformal anomaly parameter. Through a role of the cosmic potential, the vacuum energy which could be generated in matter Lagrangian does not contribute to the dark energy in the phase.
Breakdown of the Dipole Approximation in Strong-Field Ionization
A. Ludwig; J. Maurer; B. W. Mayer; C. R. Phillips; L. Gallmann; U. Keller
2014-10-02T23:59:59.000Z
We report the breakdown of the electric dipole approximation in the long-wavelength limit in strong-field ionization with linearly polarized few-cycle mid-infrared laser pulses at intensities on the order of 10$^{13}$ W/cm$^2$. Photoelectron momentum distributions were recorded by velocity map imaging and projected onto the beam propagation axis. We observe an increasing shift of the peak of this projection opposite to the beam propagation direction with increasing laser intensities. From a comparison with semi-classical simulations, we identify the combined action of the magnetic field of the laser pulse and the Coulomb potential as origin of our observations.
Invariant-based pulse engineering without rotating wave approximation
S. Ibáñez; Yi-Chao Li; Xi Chen; J. G. Muga
2015-07-02T23:59:59.000Z
We inverse engineer realizable time-dependent semiclassical pulses to invert or manipulate a two- level system faster than adiabatically when the rotating-wave approximation cannot be applied. Different inversion routes, based on a counterdiabatic approach or invariants, lead quite generally to singular fields. Making use of the relation between the invariants of motion and the Hamiltonian, and canceling the troublesome singularities, an inversion scheme is put forward for the regime in which the pulse spans few oscillations. For many oscillations an alternative numerical minimization method is proposed and demonstrated.
Analytical Approximation for 2-D Nonlinear Periodic Deep Water Waves
Saleh Tanveer
2013-09-20T23:59:59.000Z
A recently developed method has been extended to a nonlocal equation arising in steady water wave propagation in two dimensions. We obtain analyic approximation of steady water wave solution in two dimensions with rigorous error bounds for a set of parameter values that correspond to heights slightly smaller than the critical. The wave shapes are shown to be analytic. The method presented in quite general and does not assume smallness of wave height or steepness and can be readily extended to other interfacial problems involving Laplace's equation.
Hardness of Approximate Hypergraph Coloring Venkatesan Guruswami Johan Hastad y Madhu Sudan z
Guruswami, Venkatesan
Hardness of Approximate Hypergraph Coloring Venkatesan Guruswami #3; Johan HÅ¡astad y Madhu Sudan #3
Communication: Random phase approximation renormalized many-body perturbation theory
Bates, Jefferson E.; Furche, Filipp, E-mail: filipp.furche@uci.edu [Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025 (United States)] [Department of Chemistry, University of California, Irvine, 1102 Natural Sciences II, Irvine, California 92697-2025 (United States)
2013-11-07T23:59:59.000Z
We derive a renormalized many-body perturbation theory (MBPT) starting from the random phase approximation (RPA). This RPA-renormalized perturbation theory extends the scope of single-reference MBPT methods to small-gap systems without significantly increasing the computational cost. The leading correction to RPA, termed the approximate exchange kernel (AXK), substantially improves upon RPA atomization energies and ionization potentials without affecting other properties such as barrier heights where RPA is already accurate. Thus, AXK is more balanced than second-order screened exchange [A. Grüneis et al., J. Chem. Phys. 131, 154115 (2009)], which tends to overcorrect RPA for systems with stronger static correlation. Similarly, AXK avoids the divergence of second-order Møller-Plesset (MP2) theory for small gap systems and delivers a much more consistent performance than MP2 across the periodic table at comparable cost. RPA+AXK thus is an accurate, non-empirical, and robust tool to assess and improve semi-local density functional theory for a wide range of systems previously inaccessible to first-principles electronic structure calculations.
1.85 Approximation for Min-Power Strong Connectivity
Calinescu, Gruia
2012-01-01T23:59:59.000Z
Given a directed simple graph G=(V,E) and a nonnegative-valued cost function the power of a vertex u in a directed spanning subgraph H is given by the maximum cost of an arcs of H exiting u. The power of H is the sum of the power of its vertices. Power Assignment seeks to minimize the power of H while H satisfies some connectivity constraint. In this paper, we assume E is bidirected (for every directed edge e in E, the opposite edge exists and has the same cost), while H is required to be strongly connected. This is the original power assignment problem introduced by Chen and Huang in 1989, who proved that bidirected minimum spanning tree has approximation ratio at most 2 (this is tight). In Approx 2010, we introduced a Greedy approximation algorithm and claimed a ratio of 1.992. Here we improve the analysis to 1.85. The proof also shows that a natural linear programming relaxation, introduced by us in 2012, has the same 1.85 integrality gap.
Approximation Algorithms for Wireless Link Scheduling with Flexible Data Rates
Kesselheim, Thomas
2012-01-01T23:59:59.000Z
We consider scheduling problems in wireless networks with respect to flexible data rates. That is, more or less data can be transmitted per time depending on the signal quality, which is determined by the signal-to-interference-plus-noise ratio (SINR). Each wireless link has a utility function mapping SINR values to the respective data rates. We have to decide which transmissions are performed simultaneously and (depending on the problem variant) also which transmission powers are used. In the capacity-maximization problem, one strives to maximize the overall network throughput, i.e., the summed utility of all links. For arbitrary utility functions (not necessarily continuous ones), we present an O(log n)-approximation when having n communication requests. This algorithm is built on a constant-factor approximation for the special case of the respective problem where utility functions only consist of a single step. In other words, each link has an individual threshold and we aim at maximizing the number of lin...
Takahiko Matsubara; Ayako Yoshisato; Masahiro Morikawa
1997-08-17T23:59:59.000Z
Among several analytic approximations for the growth of density fluctuations in the expanding Universe, Zel'dovich approximation in Lagrangian coordinate scheme is known to be unusually accurate even in mildly non-linear regime. This approximation is very similar to the Pad\\'e approximation in appearance. We first establish, however, that these two are actually different and independent approximations with each other by using a model of spheroidal mass collapse. Then we propose Pad\\'e-prescribed Zel'dovich-type approximations and demonstrate, within this model, that they are much accurate than any other known nonlinear approximations.
Treuille, Adrien
)-approximate with O(log4 n) congestion. This translates back to a O(log4+3 n)-approximation for the multicast energy-minimization)-approximate with O(log12 n) congestion, which translates back to a O(log12+5 n)-approximation for the unicast energy-minimizationCluster Before You Hallucinate: Approximating Node-Capacitated Network Design and Energy Efficient
Approximate Weighted Matching On Emerging Manycore and Multithreaded Architectures
Halappanavar, Mahantesh; Feo, John T.; Villa, Oreste; Tumeo, Antonino; Pothen, Alex
2012-11-30T23:59:59.000Z
Graph matching is a prototypical combinatorial problem with many applications in computer science and scientific computing, but algorithms for computing optimal matchings are challenging to parallelize. Approximate matching algorithms provide an alternate route for parallelization, and in many contexts compute near-optimal matchings for large-scale graphs. We present sharedmemory parallel implementations for computing half-approximate weighted matching on state-of-the-art multicore (Intel Nehalem and AMD Magny-Cours), manycore (Nvidia Tesla and Nvidia Fermi) and massively multithreaded (Cray XMT) platforms. We provide two implementations: the first implementation uses shared work queues, and is suited to all these platforms; the second implementation is based on dataflow principles, and exploits the architectural features of the Cray XMT. Using a carefully chosen dataset that exhibits characteristics from a wide range of real-world applications, we show scalable performance across different platforms. In particular, for one instance of the input, an R-MAT graph (RMAT-G), we show speedups of: about 32 on 48 cores of an AMD Magny-Cours; 7 on 8 cores of Intel Nehalem; 3 on Nvidia Tesla and 10 on Nvidia Fermi relative to one core of Intel Nehalem; and 60 on 128 processors of Cray XMT. We demonstrate good weak and strong scaling for graphs with up to a billion edges using up to 12, 800 threads. Given the breadth of this work, we focus on simplicity and portability of software rather than excessive fine-tuning for each platform. To the best of our knowledge, this is the first such large-scale study of the half-approximate weighted matching problem on shared-memory platforms. Driven by the critical enabling role of combinatorial algorithms such as matching in scientific computing and the emergence of informatics applications, there is a growing demand to support irregular computations on current and future computing platforms. In this context, we evaluate the capability of emerging multithreaded platforms to tolerate latency induced by irregular memory access patterns, and to support fine-grained parallelism via light-weight synchronization mechanisms. By contrasting the architectural features of these platforms against the Cray XMT, which is specifically designed to support irregular memory-intensive applications, we delineate the impact of these choices on performance.
Shear Viscosity in the Post-quasistatic Approximation
C. Peralta; L. Rosales; B. Rodrí guez-Mueller; W. Barreto
2010-04-20T23:59:59.000Z
We apply the post-quasi--static approximation, an iterative method for the evolution of self-gravitating spheres of matter, to study the evolution of anisotropic non-adiabatic radiating and dissipative distributions in General Relativity. Dissipation is described by viscosity and free-streaming radiation, assuming an equation of state to model anisotropy induced by the shear viscosity. We match the interior solution, in non-comoving coordinates, with the Vaidya exterior solution. Two simple models are presented, based on the Schwarzschild and Tolman VI solutions, in the non--adiabatic and adiabatic limit. In both cases the eventual collapse or expansion of the distribution is mainly controlled by the anisotropy induced by the viscosity.
Reduced Operator Approximation for Modelling Open Quantum Systems
Agnieszka Werpachowska
2015-08-05T23:59:59.000Z
We present the Reduced Operator Approximation: a simple, physically transparent and computationally efficient method of modelling open quantum systems. It employs the Heisenberg picture of the quantum dynamics, which allows us to focus on the system degrees of freedom in a natural and easy way. We describe different variants of the method, low- and high-order in the system-bath interaction operators, defining them for either general quantum harmonic oscillator baths or specialising them for independent baths with Lorentzian spectral densities. Its wide applicability is demonstrated on the examples of systems coupled to different baths (with varying system-bath interaction strength and bath memory length), and compared with the exact pseudomode and the popular quantum state diffusion approach. The method captures the decoherence of the system interacting with the bath, while conserving the total energy. Our results suggest that quantum coherence effects persist in open quantum systems for much longer times than previously thought.
Approximate Message Passing with Restricted Boltzmann Machine Priors
Tramel, Eric W; Krzakala, Florent
2015-01-01T23:59:59.000Z
Approximate Message Passing (AMP) has been shown to be an excellent statistical approach to signal inference and compressed sensing problem. The AMP framework provides modularity in the choice of signal prior; here we propose a hierarchical form of the Gauss-Bernouilli prior which utilizes a Restricted Boltzmann Machine (RBM) trained on the signal support to push reconstruction performance beyond that of simple iid priors for signals whose support can be well represented by a trained binary RBM. We present and analyze two methods of RBM factorization and demonstrate how these affect signal reconstruction performance within our proposed algorithm. Finally, using the MNIST handwritten digit dataset, we show experimentally that using an RBM allows AMP to approach oracle-support performance.
Relativistic Coulomb excitation within Time Dependent Superfluid Local Density Approximation
I. Stetcu; C. Bertulani; A. Bulgac; P. Magierski; K. J. Roche
2015-01-13T23:59:59.000Z
Within the framework of the unrestricted time-dependent density functional theory, we present for the first time an analysis of the relativistic Coulomb excitation of the heavy deformed open shell nucleus $^{238}$U. The approach is based on Superfluid Local Density Approximation (SLDA) formulated on a spatial lattice that can take into account coupling to the continuum, enabling self-consistent studies of superfluid dynamics of any nuclear shape. We have computed the energy deposited in the target nucleus as a function of the impact parameter, finding it to be significantly larger than the estimate using the Goldhaber-Teller model. The isovector giant dipole resonance, the dipole pygmy resonance and giant quadrupole modes were excited during the process. The one body dissipation of collective dipole modes is shown to lead a damping width $\\Gamma_\\downarrow \\approx 0.4$ MeV and the number of pre-equilibrium neutrons emitted has been quantified.
Particle-particle random phase approximation applied to Beryllium isotopes
Guillaume Blanchon; Nicole Vinh Mau; Angela Bonaccorso; Marc Dupuis; Nathalie Pillet
2010-07-16T23:59:59.000Z
This work is dedicated to the study of even-even 8-14 Be isotopes using the particle-particle Random Phase Approximation that accounts for two-body correlations in the core nucleus. A better description of energies and two-particle amplitudes is obtained in comparison with models assuming a neutron closed-shell (or subshell) core. A Wood-Saxon potential corrected by a phenomenological particle-vibration coupling term has been used for the neutron-core interaction and the D1S Gogny force for the neutron-neutron interaction. Calculated ground state properties as well as excited state ones are discussed and compared to experimental data. In particular, results suggest the same 2s_1/2-1p_1/2 shell inversion in 13Be as in 11Be.
A renormalisation group method. II. Approximation by local polynomials
David C. Brydges; Gordon Slade
2014-11-25T23:59:59.000Z
This paper is the second in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. The method is set within a normed algebra $\\mathcal{N}$ of functionals of the fields. In this paper, we develop a general method---localisation---to approximate an element of $\\mathcal{N}$ by a local polynomial in the fields. From the point of view of the renormalisation group, the construction of the local polynomial corresponding to $F$ in $\\mathcal{N}$ amounts to the extraction of the relevant and marginal parts of $F$. We prove estimates relating $F$ and its corresponding local polynomial, in terms of the $T_{\\phi}$ semi-norm introduced in part I of the series.
Pion - Nucleon Bremsstrahlung beyond the Soft-Photon approximation
A. Mariano
2000-04-06T23:59:59.000Z
A dynamical model based on effective Lagrangians is proposed to describe the bremsstrahlung reaction $ \\pi N \\to \\pi N \\gamma$ at low energies. The $\\Delta(1232)$ degrees of freedom are incorporated in a way consistent with both, electromagnetic gauge invariance and invariance under contact transformations. The model also includes the initial and final state rescattering of hadrons via a T-matrix with off the momentum-shell effects. The double differential distribution of photons is computed for three different T-matrix models and the results are compared with the soft photon approximation, and with experimental data. The aim of this analysis is to test the off-shell behaviour of the different T-matrices under consideration. Finally an alternative simpler dynamical model that incorporates the unstable character of the isobar-$\\Delta(1232)$ through a complex mass, is presented. As we will see it is suitable for the study of the magnetic moment of the resonance.
Polymer quantization and the saddle point approximation of partition functions
Hugo A. Morales Técotl; Daniel H. Orozco Borunda; Saeed Rastgoo
2015-07-31T23:59:59.000Z
The saddle point approximation of the path integral partition functions is an important way of deriving the thermodynamical properties of black holes. However, there are certain black hole models and some mathematically analog mechanical models for which this method can not be applied directly. This is due to the fact that their action evaluated on a classical solution is not finite and its first variation does not vanish for all consistent boundary conditions. These problems can be dealt with by adding a counter-term to the classical action, which is a solution of the corresponding Hamilton-Jacobi equation. In this work we study the effects of polymer quantization on a mechanical model presenting the aforementioned difficulties and contrast it with the above counter-term method. This type of quantization for mechanical models is motivated by the loop quantization of gravity which is known to play a role in the thermodynamics of black holes systems. The model we consider is a non relativistic particle in an inverse square potential and analyze two polarizations of the polymer quantization in which either the position or the momentum is discrete. In the former case, Thiemann's regularization is applied to represent the inverse power potential but we still need to incorporate the Hamilton-Jacobi counter-term which is now modified by polymer corrections. In the latter, momentum discrete case however, such regularization could not be implemented. Yet, remarkably, due to the fact that the position is bounded, we do not need a Hamilton-Jacobi counter-term in order to have a well defined saddle point approximation. Further developments and extensions are commented upon in the discussion.
Asymptotic safety in the f(R) approximation
Juergen A. Dietz; Tim R. Morris
2013-01-28T23:59:59.000Z
In the asymptotic safety programme for quantum gravity, it is important to go beyond polynomial truncations. Three such approximations have been derived where the restriction is only to a general function f(R) of the curvature R>0. We confront these with the requirement that a fixed point solution be smooth and exist for all non-negative R. Singularities induced by cutoff choices force the earlier versions to have no such solutions. However, we show that the most recent version has a number of lines of fixed points, each supporting a continuous spectrum of eigen-perturbations. We uncover and analyse the first five such lines. Sensible fixed point behaviour may be achieved if one consistently incorporates geometry/topology change. As an exploratory example, we analyse the equations analytically continued to R<0, however we now find only partial solutions.We show how these results are always consistent with, and to some extent can be predicted from, a straightforward analysis of the constraints inherent in the equations.
Quasilocalized charge approximation in strongly coupled plasma physics
Golden, Kenneth I. [Department of Mathematics and Statistics, Department of Physics, University of Vermont, Burlington, Vermont 05401-1455 (United States)] [Department of Mathematics and Statistics, Department of Physics, University of Vermont, Burlington, Vermont 05401-1455 (United States); Kalman, Gabor J. [Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467 (United States)] [Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467 (United States)
2000-01-01T23:59:59.000Z
The quasilocalized charge approximation (QLCA) was proposed in 1990 [G. Kalman and K. I. Golden, Phys. Rev. A 41, 5516 (1990)] as a formalism for the analysis of the dielectric response tensor and collective mode dispersion in strongly coupled Coulomb liquids. The approach is based on a microscopic model in which the charges are quasilocalized on a short-time scale in local potential fluctuations. The authors review the application of the QLC approach to a variety of systems which can exhibit strongly coupled plasma behavior: (i) the one-component plasma (OCP) model in three dimensions (e.g., laser-cooled trapped ions) and (ii) in two dimensions (e.g., classical 2D electron liquid trapped above the free surface of liquid helium), (iii) binary ionic mixture in a neutralizing uniform background (e.g., carbon-oxygen white dwarf interiors), (iv) charged particle bilayers (e.g., semiconductor electronic bilayers), and (v) charged particles in polarizable background (e.g., laboratory dusty plasmas). (c) 2000 American Institute of Physics.
Polymer quantization and the saddle point approximation of partition functions
Técotl, Hugo A Morales; Rastgoo, Saeed
2015-01-01T23:59:59.000Z
The saddle point approximation of the path integral partition functions is an important way of deriving the thermodynamical properties of black holes. However, there are certain black hole models and some mathematically analog mechanical models for which this method can not be applied directly. This is due to the fact that their action evaluated on a classical solution is not finite and its first variation does not vanish for all consistent boundary conditions. These problems can be dealt with by adding a counter-term to the classical action, which is a solution of the corresponding Hamilton-Jacobi equation. In this work we study the effects of polymer quantization on a mechanical model presenting the aforementioned difficulties and contrast it with the above counter-term method. This type of quantization for mechanical models is motivated by the loop quantization of gravity which is known to play a role in the thermodynamics of black holes systems. The model we consider is a non relativistic particle in an i...
Convergence analysis of the thermal discrete dipole approximation
Edalatpour, Sheila; Trueax, Tyler; Backman, Roger; Francoeur, Mathieu
2015-01-01T23:59:59.000Z
The thermal discrete dipole approximation (T-DDA) is a numerical approach for modeling near-field radiative heat transfer in complex three-dimensional geometries. In this work, the convergence of the T-DDA is investigated using the exact solution for two spheres separated by a vacuum gap. The error associated with the T-DDA is reported for various size parameters, refractive indices and vacuum gap sizes. The results reveal that for a fixed number of sub-volumes, the accuracy of the T-DDA degrades as the refractive index and the sphere diameter to gap ratio increase. A converging trend is observed as the number of sub-volumes increases. The large computational requirements associated with increasing the number of sub-volumes, and the shape error induced by large sphere diameter to gap ratios, are mitigated by using a non-uniform discretization scheme. Non-uniform discretization is shown to significantly accelerate the convergence of the T-DDA, and is thus recommended for near-field thermal radiation simulation...
Energy loss and (de)coherence effects beyond eikonal approximation
Liliana Apolinário; Néstor Armesto; Guilherme Milhano; Carlos A. Salgado
2014-10-21T23:59:59.000Z
The parton branching process is known to be modified in the presence of a medium. Colour decoherence processes are known to determine the process of energy loss when the density of the medium is large enough to break the correlations between partons emitted from the same parent. In order to improve existing calculations that consider eikonal trajectories for both the emitter and the hardest emitted parton, we provide in this work, the calculation of all finite energy corrections for the gluon radiation off a quark in a QCD medium that exist in the small angle approximation and for static scattering centres. Using the path integral formalism, all particles are allowed to undergo Brownian motion in the transverse plane and the offspring allowed to carry an arbitrary fraction of the initial energy. The result is a general expression that contains both coherence and decoherence regimes that are controlled by the density of the medium and by the amount of broadening that each parton acquires independently.
Journal of Approximation Theory 147 (2007) 185195 www.elsevier.com/locate/jat
Elad, Michael
2007-01-01T23:59:59.000Z
Journal of Approximation Theory 147 (2007) 185195 www.elsevier.com/locate/jat On Lebesgue.L. Donoho et al. / Journal of Approximation Theory 147 (2007) 185195 Inequality (1.1) relates the error
Chetverikov, Denis
We derive a Gaussian approximation result for the maximum of a sum of high-dimensional random vectors. Specifically, we establish conditions under which the distribution of the maximum is approximated by that of the maximum ...
Matrix multiplication over word-size prime fields using Bini's approximate formula
Paris-Sud XI, Université de
Matrix multiplication over word-size prime fields using Bini's approximate formula Brice Boyer Jean-Guillaume Dumas Abstract Bini's approximate formula (or border rank) for matrix multiplication achieves a better the approximate formula in the special case where the ring is Z/pZ. Besides, we show an implemen- tation à la
A New Look at the High Frequency Boundary Element and Rayleigh Integral Approximations
Seybert, Andrew F.
03NVC-114 A New Look at the High Frequency Boundary Element and Rayleigh Integral Approximations D of Automotive Engineers, Inc. ABSTRACT This paper revisits the popular Rayleigh integral approximation, and also to the Rayleigh integral. Both methods are approximations to the boundary integral equation, and can solve
Approximate Dynamic Programming for Dynamic Capacity Allocation with Multiple Priority Levels
Topaloglu, Huseyin
Approximate Dynamic Programming for Dynamic Capacity Allocation with Multiple Priority Levels In this paper, we consider a quite general dynamic capacity allocation problem. There is a fixed amount of daily to construct separable approximations to the value functions. We use the value function approximations for two
A mixed formulation for the direct approximation -weighted controls for the linear heat
Boyer, Edmond
A mixed formulation for the direct approximation of L2 -weighted controls for the linear heat of null controls for the linear heat equa- tion. The goal is to compute approximations of controls-Cara & MÂ¨unch, Strong convergence approximations of null controls for the 1D heat equation, 2013], a so
Comparison of Approximation Methods for Computing Tolerance Factors for a Multivariate
Krishnamoorthy, Kalimuthu
Comparison of Approximation Methods for Computing Tolerance Factors for a Multivariate Normal approximation methods for computing the tolerance factors of a multivariate normal population. These approximate on the multivariate setup is rather limited, how- ever. The first attempt at constructing tolerance regions
PreDVS: Preemptive Dynamic Voltage Scaling for Real-time Systems using Approximation Scheme
Mishra, Prabhat
, dynamic voltage scal- ing, approximation algorithm 1. INTRODUCTION Energy conservation has been the main to save energy is that linear reduction in the supply voltage leads to approximately linear slow downPreDVS: Preemptive Dynamic Voltage Scaling for Real-time Systems using Approximation Scheme Weixun
Botti, Silvana
Motivation Green's functions The GW Approximation The Bethe-Salpeter Equation Introduction to Green=whiteMotivation Green's functions The GW Approximation The Bethe-Salpeter Equation Outline 1 Motivation 2 Green's functions 3 The GW Approximation 4 The Bethe-Salpeter Equation #12;bg=whiteMotivation Green's functions
An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas
C. Angstmann; G. P. Morriss
2012-02-14T23:59:59.000Z
An approximate stochastic model for the topological dynamics of the periodic triangular Lorentz gas is constructed. The model, together with an extremum principle, is used to find a closed form approximation to the diffusion coefficient as a function of the lattice spacing. This approximation is superior to the popular Machta and Zwanzig result and agrees well with a range of numerical estimates.
Comparison of moment-closure approximations for stochastic chemical kinetics
David Schnoerr; Guido Sanguinetti; Ramon Grima
2015-08-07T23:59:59.000Z
In recent years moment-closure approximations (MA) of the chemical master equation have become a popular method for the study of stochastic effects in chemical reaction systems. Several different MA methods have been proposed and applied in the literature, but it remains unclear how they perform with respect to each other. In this paper we study the normal, Poisson, log-normal and central-moment-neglect MAs by applying them to understand the stochastic properties of chemical systems whose deterministic rate equations show the properties of bistability, ultrasensitivity and oscillatory behaviour. Our results suggest that the normal MA is favourable over the other studied MAs. In particular we found that (i) the size of the region of parameter space where a closure gives physically meaningful results, e.g. positive mean and variance, is considerably larger for the normal closure than for the other three closures; (ii) the accuracy of the predictions of the four closures (relative to simulations using the stochastic simulation algorithm) is comparable in those regions of parameter space where all closures give physically meaningful results; (iii) the Poisson and log-normal MAs are not uniquely defined for systems involving conservation laws in molecule numbers. We also describe the new software package MOCA which enables the automated numerical analysis of various MA methods in a graphical user interface and which was used to perform the comparative analysis presented in this paper. MOCA allows the user to develop novel closure methods and can treat polynomial, non-polynomial, as well as time-dependent propensity functions, thus being applicable to virtually any chemical reaction system.
Policy Guidance Memorandum #36 SES Competitive Staffing Procedures |
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Microsoft Word - DOE_Staffing_Study_Cover.doc
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Safety System Oversight Staffing Analysis (Instructions, Blank Sheet and
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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Safety System Oversight Staffing Analysis - Blank Sheet | Department of
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2010 Annual Workforce Analysis and Staffing Plan Report - Portsmouth
Office of Environmental Management (EM)
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2014 Annual Workforce Analysis and Staffing Plan Report - Richland
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2010 Annual Workforce Analysis and Staffing Plan Report - PPPO
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2010 Annual Workforce Analysis and Staffing Plan Report - Pacific Northwest
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2011 Annual Workforce Analysis and Staffing Plan Report - Portsmouth
Office of Environmental Management (EM)
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2013 Annual Workforce Analysis and Staffing Plan Report - Carlsbad Field
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2013 Annual Workforce Analysis and Staffing Plan Report - Portsmouth
Office of Environmental Management (EM)
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2013 Annual Workforce Analysis and Staffing Plan Report - Richland
Office of Environmental Management (EM)
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2014 Annual Workforce Analysis and Staffing Plan Report - Portsmouth
Office of Environmental Management (EM)
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Multiple roles for the zebrafish transcriptional activator SBF/Staf
Halbig, Kari Michele
2009-05-15T23:59:59.000Z
Eukaryotic transcriptional activators stimulate transcription of genes otherwise expressed at low levels. The typical activator operates by binding to specific sites on DNA with its activating region contacting the multiprotein machinery...
Y-12 selects small businesses to assist with staffing needs ...
National Nuclear Security Administration (NNSA)
more than 50 existing subcontracts to better serve the site with respect to efficiency and overall cost savings. The two companies' focus on meeting Y-12 needs,...
2011 Workforce Analysis and Staffing Plan Report Memo, Guidance...
Broader source: Energy.gov (indexed) [DOE]
of defense nuclear facilities. This workforce analysis process continues to cover technical capability needs to address defense nuclear facility and related operational...
2013 Workforce Analysis and Staffing Plan Report Memo, Guidance...
Broader source: Energy.gov (indexed) [DOE]
of defense nuclear facilities. This workforce analysis process continues to cover technical capability needs to address defense nuclear facility and related operational...
2012 Workforce Analysis and Staffing Plan Report Memo, Guidance...
Broader source: Energy.gov (indexed) [DOE]
of defense nuclear facilities. This workforce analysis process continues to cover technical capability needs to address defense nuclear facility and related operational...
2010 Annual Workforce Analysis and Staffing Plan Report - Carlsbad Field
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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2010 Workforce Analysis and Staffing Plan Report Memo, Guidance and
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2011 Annual Workforce Analysis and Staffing Plan Report - Carlsbad
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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2011 Workforce Analysis and Staffing Plan Report Memo, Guidance and
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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2012 Annual Workforce Analysis and Staffing Plan Report - Carlsbad
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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2012 Annual Workforce Analysis and Staffing Plan Report - Livermore Field
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2012 Annual Workforce Analysis and Staffing Plan Report - NNSA HQ |
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2012 Workforce Analysis and Staffing Plan Report Memo, Guidance and
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2013 Annual Workforce Analysis and Staffing Plan Report - Livermore Field
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2013 Annual Workforce Analysis and Staffing Plan Report - NNSA Production
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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2013 Workforce Analysis and Staffing Plan Report Memo, Guidance and
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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2014 Annual Workforce Analysis and Staffing Plan Report - Livermore Field
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2014 Annual Workforce Analysis and Staffing Plan Report - Nevada Field
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2014 Annual Workforce Analysis and Staffing Plan Report - Sandia Field
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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2014 Workforce Analysis and Staffing Plan Report Memo, Guidance and
Broader source: Energy.gov (indexed) [DOE]
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Staffing for Clean Energy Financing Programs | Department of Energy
Broader source: Energy.gov (indexed) [DOE]
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2014 Annual Workforce Analysis and Staffing Plan Report - Carlsbad Field
Broader source: Energy.gov (indexed) [DOE]
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 ofSubscribeDepartment(EAP)Energy JulyInitiative Office | DepartmentDepartment of
2010 Annual Workforce Analysis and Staffing Plan Report - PNSO
Office of Environmental Management (EM)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 of Thomas P. D'Agostino Undersecretary|AChapter 16.5 (MayHow0 Annual Fuel Economy^E ^ ^
2011 Annual Workforce Analysis and Staffing Plan Report - Carlsbad Field
Office of Environmental Management (EM)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 of Thomas P. D'Agostino Undersecretary|AChapter 16.5 (MayHow0Department ofDepartmentOffice |
2011 Annual Workforce Analysis and Staffing Plan Report - ORP
Office of Environmental Management (EM)
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2011 Annual Workforce Analysis and Staffing Plan Report - PPPO
Office of Environmental Management (EM)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 of Thomas P. D'Agostino Undersecretary|AChapter 16.5 (MayHow0Department ofDepartmentOffice322,
2011 Annual Workforce Analysis and Staffing Plan Report - Pacific Northwest
Office of Environmental Management (EM)
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2012 Annual Workforce Analysis and Staffing Plan Report - Carlsbad Field
Office of Environmental Management (EM)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 of Thomas P. D'Agostino Undersecretary|AChapter 16.5FeedstockDepartmentDepartment of2 Annual
2012 Annual Workforce Analysis and Staffing Plan Report - Pacific Northwest
Office of Environmental Management (EM)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 of Thomas P. D'Agostino Undersecretary|AChapter 16.5FeedstockDepartmentDepartmentSite Office |
2013 Annual Workforce Analysis and Staffing Plan Report - Pacific Northwest
Office of Environmental Management (EM)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 of Thomas P. D'Agostino Undersecretary|AChapterFY12 DOE -STARTSite Office | Department of
2013 Annual Workforce Analysis and Staffing Plan Report - Savannah River
Office of Environmental Management (EM)
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Producing Precarity: The Temporary Staffing Agency in the Labor Market
Elcioglu, Emine Fidan
2010-01-01T23:59:59.000Z
unpredictable temporary gigs and despite their “constrained”need to locate a server for a gig this evening.They urgehim for not showing up at a gig. “Where were you, bro?You
DOE Executive Staffing and Recruitment | Department of Energy
Broader source: Energy.gov (indexed) [DOE]
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2012 Annual Workforce Analysis and Staffing Plan Report - Nevada Site
Broader source: Energy.gov (indexed) [DOE]
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 ofSubscribe to AcquisitionJenUpdated September 26,Department ofthe Fuelof EnergySLACOffice |
2013 Annual Workforce Analysis and Staffing Plan Report - Livermore Field
Broader source: Energy.gov (indexed) [DOE]
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 ofSubscribe to AcquisitionJenUpdated September 26,Department ofthe
Staffing Guide for Project Management - DOE Directives, Delegations, and
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5(Million Cubic Feet) Oregon (Including Vehicle Fuel) (Million CubicRefinersUpcomingSmall-IndustrialSpectroscopy ofEngineers |6Physics
Optimizing Call Center Staffing using Simulation and Analytic Center ...
2005-07-20T23:59:59.000Z
an effect on the reliability of each method as the other parameters did, so we do not include different settings of it ..... Optim., 10(4):1212–1227 (electronic), 2000.
Parameter Shortest Path Algorithms with an Application to Cyclic Staffing
Karp, Richard M.
Let G = (V,E) be a digraph with n vertices including a special vertex s. Let E' C E be a designated subset of edges. For each e E E there is an associated real number fl(e). Furthermore, let 1 if e E E' f2(e): 0 if e E-E' ...
Validity of Born Approximation for Nuclear Scattering in Path Integral Representation
M. R. Pahlavani; R. Morad
2009-07-01T23:59:59.000Z
The first and second Born approximation are studied with the path integral representation for $ {\\cal T} $ matrix. The $ {\\cal T}$ matrix is calculated for Woods-Saxon potential scattering. To make corresponding integrals solvable analytically, an approximate function for the Woods-Saxon potential is used. Finally it shown that the Born series is converge at high energies and orders higher than two in Born approximation series can be neglected.
Approximate life-cycle assessment of product concepts using learning systems
Sousa, Inês (Maria Inês Silva Sousa), 1972-
2002-01-01T23:59:59.000Z
This thesis develops an approximate, analytically based environmental assessment method that provides fast evaluations of product concepts. Traditional life-cycle assessment (LCA) studies and their streamlined analytical ...
A complete analytic inversion of supernova lines in the Sobolev approximation
Kasen, Daniel; Branch, David; Baron, E.; Jeffery, David
2001-01-01T23:59:59.000Z
D . & Branch, D . 1990, in Supernovae, ed. J . C . Wheeler &radia tive transfer — supernovae Lawrence Berkeley Nationalgradients, such as supernovae. The Sobolev approximation has
A comparison of networked approximators in parallel mode identification of a bioreactor
Efe, Mehmet Önder
A comparison of networked approximators in parallel mode identification of a bioreactor Mehmet 2010 Keywords: Bioreactor Identification Multilayer perceptron ANFIS Support vector machine Chemical
Constant centrifugal potential approximation for atom-diatom chemical reaction dynamics
Takada, Shoji
Constant centrifugal potential approximation for atom-diatom chemical reaction dynamics Kengo,Myodaiji, Okazaki 444. Japan (Received 28 September 1993; accepted 8 December 1993) The constant centrifugal of such practically useful approxima- tions the constant centrifugal potential approximation (CCPA) (or the energy
Beam Propagation Method Using a [(p -1)/p] Pade Approximant of the Propagator
Lu, Ya Yan
propagation method (BPM) is developed based on a direct approximation to the propagator using the [(p - 1)/p of the BPM. 1 Introduction The beam propagation method (BPM)14 is widely used in numerical simulation, the governing equation is a scalar Helmholtz equation. The BPM relies on approximating the Helmholtz equation
Zelikovsky, Alexander
correspond to a group of up to eight nodes in the Group #3; This work was supported by a Packard Foundation a group of up to eight virtual positions (c). The only existing approximation algorithms for the GroupA New Approximation Scheme for the Group Steiner Problem #3; C. S. Helvig Gabriel Robins Alexander
Logic-Based Outer-Approximation Algorithm for Solving Discrete-Continuous Dynamic
Grossmann, Ignacio E.
In this work we present an extension of the Logic Outer-Approximation algorithm for deal- ing with disjunctive.e. the control actions) may involve logic decisions that can be modeled as disjunctions [16], [17] giving riseLogic-Based Outer-Approximation Algorithm for Solving Discrete-Continuous Dynamic Optimization
Numerical approximation of bang-bang controls for the heat equation: an optimal design approach
Paris-Sud XI, Université de
Numerical approximation of bang-bang controls for the heat equation: an optimal design approach approximation of null controls of minimal L -norm for the linear heat equation with a bounded potential. Both the internal and boundary controllability problem of a linear heat equation with a bounded potential. Let us
Approximate logic circuits for low overhead, non-intrusive concurrent error detection
Mohanram, Kartik
Approximate logic circuits for low overhead, non-intrusive concurrent error detection Mihir R for the synthesis of approximate logic circuits. A low overhead, non-intrusive solution for concurrent error as proposed in this paper. A low overhead, non-intrusive solution for CED based on ap- proximate
Validation of the correctness of the Hald approximation in assessing tolerance
Gurevich, M. I., E-mail: gur.m@mail.ru; Kalugin, M. A.; Chukbar, B. K. [National Research Center Kurchatov Institute (Russian Federation)
2014-12-15T23:59:59.000Z
An analysis was performed of the correctness of employing the approximate formula which is widely used when assessing tolerances in the results of regression analysis. The correctness of approximation with the frequently used ratio between the probability and significance level equal to 95/95 is demonstrated. Conditions of application of the formula under stricter requirements, for example, 99/99, are formulated.
ERROR BOUNDS FOR MONOTONE APPROXIMATION SCHEMES FOR HAMILTON-JACOBI-BELLMAN
ERROR BOUNDS FOR MONOTONE APPROXIMATION SCHEMES FOR HAMILTON-JACOBI-BELLMAN EQUATIONS GUY BARLES AND ESPEN R. JAKOBSEN Abstract. We obtain error bounds for monotone approximation schemes of Hamilton-Jacobi, (almost) smooth supersolutions for the Hamilton-Jacobi-Bellman equation. 1. Introduction This paper
Approximate model checking of stochastic hybrid systems , J.-P. Katoen
Abate, Alessandro
-room heating system. 1 Introduction Stochastic hybrid systems are a broad and widely applicable classApproximate model checking of stochastic hybrid systems A. Abate , J.-P. Katoen , J. Lygeros , and M. Prandini§ Abstract A method for approximate model checking of stochastic hybrid systems
Ada Numerica (1998), pp. 51-150 Cambridge University Press, 1998 Nonlinear approximation
DeVore, Ronald
1998-01-01T23:59:59.000Z
References 146 1. Nonlinear approximation: an overview The fundamental problem of approximation theory functionals applied to the target function are known. This information is then used to construct by certain smoothness conditions which are significantly weaker than required in the linear theory. Emphasis
Low complexity channel models for approximating flat Rayleigh fading in network simulations
McDougall, Jeffrey Michael
2004-09-30T23:59:59.000Z
of the requirements f DOCTOR OF PHILOSOPHY August 2003 Major Subject: Electrical Engineering LOW COMPLEXITY CHANNEL MODELS FOR APPROXIMATING FLAT RAYLEIGH FADING IN NETWORK SIMULATIONS A Dissertation by JEFFREY MICHAEL...) ____________________________ ____________________________ Du Li Chanan Singh (Member) (Head of Department) August 2003 Major Subject: Electrical Engineering iii ABSTRACT Low Complexity Channel Models for Approximating Flat Rayleigh Fading...
Serpen, Gursel
Search for A Lyapunov Function through Empirical Approximation by Artificial Neural Nets approximator for empirical modeling of a Lyapunov function for a nonlinear dynamic system that projects stable of designing the so-called Lyapunov neural network, which empirically models a Lyapunov function, is described
ENERGY-PRESERVING AND STABLE APPROXIMATIONS FOR THE TWO-DIMENSIONAL SHALLOW WATER EQUATIONS
ENERGY-PRESERVING AND STABLE APPROXIMATIONS FOR THE TWO-DIMENSIONAL SHALLOW WATER EQUATIONS EITAN water equations 13 5.1. Energy stable schemes 13 5.2. Energy preserving schemes 17 6. Numerical TADMOR AND WEIGANG ZHONG Abstract. We present a systematic development of energy-stable approximations
Approximate Association Rule Mining Jyothsna R. Nayak and Diane J. Cook
Cook, Diane J.
1 Approximate Association Rule Mining Jyothsna R. Nayak and Diane J. Cook Department of Computer. In this paper, we describe an associate rule mining algorithm that searches for approximate association rules and Engineering Box 19015 University of Texas at Arlington Arlington, TX 76019 Office: (817) 272-3606 Fax: (817
LOW DIMENSIONAL POLYTOPE APPROXIMATION AND ITS APPLICATIONS TO NONNEGATIVE MATRIX FACTORIZATION
factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on the probability simplex has the advantage that data are limited, polytope approximation, probability simplex, supporting hyper- plane, Hahn-Banach theorem 1. Introduction
Approximations for Bit Error Probabilities in SSMA Communication Systems Using Spreading
Keller, Gerhard
Approximations for Bit Error Probabilities in SSMA Communication Systems Using Spreading Sequences@mi.uni-erlangen.de Abstract-- In previous research, we considered SSMA (spread spectrum multiple access) communication systems of spread spectrum multiple access (SSMA) communication systems, the standard Gaussian approximation (SGA
Validating a model of colon colouration using an Evolution Strategy with adaptive approximations
Rowe, Jon
Validating a model of colon colouration using an Evolution Strategy with adaptive approximations light interaction with the tissue, is aimed at correlating the histology of the colon and its colours been applied to solve it. An adaptive approximate optimisation method has been developed and applied
Real-Time Pricing for Demand Response Based on Stochastic Approximation
Wong, Vincent
1 Real-Time Pricing for Demand Response Based on Stochastic Approximation Pedram Samadi, Student to reduce their energy expenses. Keywords: Demand response, real-time pricing, PAR minimiza- tion, stochastic approximation, simultaneous perturbation. I. INTRODUCTION Demand response (DR) is an important
Wavelet-Based Piecewise Approximation of Steady-State Waveforms for
Tse, Chi K. "Michael"
Wavelet-Based Piecewise Approximation of Steady-State Waveforms for Power Electronics Circuits Kam Kong Polytechnic University, Hong Kong http://chaos.eie.polyu.edu.hk Abstract-- Wavelet transform has to maximize computational efficiency. In this paper, instead of applying one wavelet approximation
What is Concurrent Programming? Course Outline (Approximate) Evaluation & Deadlines Engineering 9869
Peters, Dennis
What is Concurrent Programming? Course Outline (Approximate) Evaluation & Deadlines Engineering 9869 Advanced Concurrent Programming Introduction Dennis Peters1 Fall 2007 1 Throughout this course I will be borrowing from Dr. Theo Norvell #12;What is Concurrent Programming? Course Outline (Approximate) Evaluation
Green's function approximation from cross-correlations of 20100 Hz noise during a tropical storm
Gerstoft, Peter
Green's function approximation from cross-correlations of 20100 Hz noise during a tropical storm Approximation of Green's functions through cross-correlation of acoustic signals in the ocean, a method referred-bottom-reflected interarray hydrophone travel times. The extracted Green's function depends on the propagating noise
Robert, Pincus
A fast, flexible, approximate technique for computing radiative transfer in inhomogeneous cloud.-J. Morcrette, A fast, flexible, approximate technique for computing radiative transfer in inhomogeneous cloud, which computes fluxes at each level. [3] The description of clouds in current LSMs is quite simple: Most
Improved approximation of the Brinkman equation using a lattice Boltzmann method
Bentz, Dale P.
conditions. The Brinkman equation3 is a generalization of Darcy's law that facilitates the matchingImproved approximation of the Brinkman equation using a lattice Boltzmann method by Nicos S. Martys;Improved approximation of the Brinkman equation using a lattice Boltzmann method Nicos S. Martys Building
Fiat, Amos
1 Mechanism Design and Approximation Our world is an interconnected collection of economic in transportation networks, and market and auc- tion design can lead to mechanisms for allocating and exchanging. #12;2 Mechanism Design and Approximation of individual strategies is complex and the space of possible
Semi-analytic approximations for production of atmospheric muons and neutrinos
Thomas K. Gaisser
2001-04-19T23:59:59.000Z
Simple approximations for fluxes of atmospheric muons and muon neutrinos are developed which display explicitly how the fluxes depend on primary cosmic ray energy and on features of pion production. For energies of approximately 10 GeV and above the results are sufficiently accurate to calculate response functions and to use for estimates of systematic uncertainties.
Miller, William H.
Semiclassical theory of electronically nonadiabatic dynamics: Results of a linearized approximation, California 94720 Received 6 May 1998; accepted 31 July 1998 A linearized approximation to the semiclassical easier to apply than the full SC-IVR because it linearizes the phase difference between interfering
The complexity of approximate Nash equilibrium in congestion games with negative delays
Magniez, FrÃ©dÃ©ric
The complexity of approximate Nash equilibrium in congestion games with negative delays Fr of the complexity of computing an - approximate Nash equilibrium in symmetric congestion games from the case that in symmetric games with increasing delay functions and with - bounded jump the -Nash dynamic converges
Polylogarithmic Supports are required for Approximate Well-Supported Nash Equilibria
Vetta, Adrian
Polylogarithmic Supports are required for Approximate Well-Supported Nash Equilibria below 2@math.mcgill.ca Abstract. In an -approximate Nash equilibrium, a player can gain at most in expectation by unilateral deviation. An -well-supported ap- proximate Nash equilibrium has the stronger requirement that every pure
How hard is it to approximate the best Nash equilibrium? IBM Almaden
Krauthgamer, Robert
How hard is it to approximate the best Nash equilibrium? Elad Hazan IBM Almaden ehazan for a PTAS for Nash equilibrium in a two-player game seeks to circumvent the PPAD- completeness of an (exact) Nash equilibrium by find- ing an approximate equilibrium, and has emerged as a major open question
Approximate Nash Equilibria for Multi-player Games Sebastien Hemon1,2
Fondements et Applications, Université Paris 7
Approximate Nash Equilibria for Multi-player Games S´ebastien H´emon1,2 , Michel de Rougemont1 approximate Nash equilibria in the additive and multiplicative sense, where the number of pure strategies. In the additive case we show that for 0 Nash equilibrium with support size 2r ln(nr+r) 2
Multinomial Approximating Models for Options Hemantha S. B. Herath* and Pranesh Kumar**
Kumar, Pranesh
, Johnson 1987, and Stulz 1982). These models are useful for valuing real options having multiple sourcesMultinomial Approximating Models for Options Hemantha S. B. Herath* and Pranesh Kumar** Business@unbc.ca; Tel: (250) 960-6671 #12;2 Multinomial Approximating Models for Options Abstract. We ensure non
Asher, Sanford A.
Polarizability Approximations W. A. Al-Saidi,*, Sanford A. Asher, and Patrick Norman§ Department of Chemical
Convergence properties of polynomial chaos approximations for L2 random variables.
Field, Richard V., Jr. (.,; .); Grigoriu, Mircea (Cornell University, Ithaca, NY)
2007-03-01T23:59:59.000Z
Polynomial chaos (PC) representations for non-Gaussian random variables are infinite series of Hermite polynomials of standard Gaussian random variables with deterministic coefficients. For calculations, the PC representations are truncated, creating what are herein referred to as PC approximations. We study some convergence properties of PC approximations for L{sub 2} random variables. The well-known property of mean-square convergence is reviewed. Mathematical proof is then provided to show that higher-order moments (i.e., greater than two) of PC approximations may or may not converge as the number of terms retained in the series, denoted by n, grows large. In particular, it is shown that the third absolute moment of the PC approximation for a lognormal random variable does converge, while moments of order four and higher of PC approximations for uniform random variables do not converge. It has been previously demonstrated through numerical study that this lack of convergence in the higher-order moments can have a profound effect on the rate of convergence of the tails of the distribution of the PC approximation. As a result, reliability estimates based on PC approximations can exhibit large errors, even when n is large. The purpose of this report is not to criticize the use of polynomial chaos for probabilistic analysis but, rather, to motivate the need for further study of the efficacy of the method.
Global dynamics and inflationary center manifold and slow-roll approximants
Artur Alho; Claes Uggla
2015-01-15T23:59:59.000Z
We consider the familiar problem of a minimally coupled scalar field with quadratic potential in flat Friedmann-Lema\\^itre-Robertson-Walker cosmology to illustrate a number of techniques and tools, which can be applied to a wide range of scalar field potentials and problems in e.g. modified gravity. We present a global and regular dynamical systems description that yields a global understanding of the solution space, including asymptotic features. We introduce dynamical systems techniques such as center manifold expansions and use Pad\\'e approximants to obtain improved approximations for the `attractor solution' at early times. We also show that future asymptotic behavior is associated with a limit cycle, which shows that manifest self-similarity is asymptotically broken toward the future, and give approximate expressions for this behavior. We then combine these results to obtain global approximations for the attractor solution, which, e.g., might be used in the context of global measures. In addition we elucidate the connection between slow-roll based approximations and the attractor solution, and compare these approximations with the center manifold based approximants.
First and second order approximations to stage numbers in multicomponent enrichment cascades
Scopatz, A. [University of Chicago, 5754 S. Ellis Ave, Chicago, IL, 60637 (United States)
2013-07-01T23:59:59.000Z
This paper describes closed form, Taylor series approximations to the number product stages in a multicomponent enrichment cascade. Such closed form approximations are required when a symbolic, rather than a numeric, algorithm is used to compute the optimal cascade state. Both first and second order approximations were implemented. The first order solution was found to be grossly incorrect, having the wrong functional form over the entire domain. On the other hand, the second order solution shows excellent agreement with the 'true' solution over the domain of interest. An implementation of the symbolic, second order solver is available in the free and open source PyNE library. (authors)
Paho Lurie-Gregg; Jeff B. Schulte; David Roundy
2014-09-24T23:59:59.000Z
We introduce an approximation for the pair distribution function of the inhomogeneous hard sphere fluid. Our approximation makes use of our recently published averaged pair distribution function at contact which has been shown to accurately reproduce the averaged pair distribution function at contact for inhomogeneous density distributions. This approach achieves greater computational efficiency than previous approaches by enabling the use of exclusively fixed-kernel convolutions and thus allowing an implementation using fast Fourier transforms. We compare results for our pair distribution approximation with two previously published works and Monte-Carlo simulation, showing favorable results.
On the use of consistent approximations for the optimal design of beams
Polak, E.; Neto, C.K.
1994-12-31T23:59:59.000Z
Most optimal design problems can only be solved through discretization. One solution strategy is to expand the original problem into an infinite sequence of finite dimensional, approximating nonlinear programming problems, which can be solved using standard algorithms. In this paper, an expansion strategy based on the concept of consistent approximations is proposed for certain optimal beam design problems, where the beam is modelled using Euler-Bernoulli beam theory. It is shown that any accumulation point of the sequence of the stationary points of the family of approximating problems is a stationary point of the original, infinite-dimensional problem. Numerical results are presented for problems of optimal design of fixed beams.
Statistical mechanics of the nonlinear Schroedinger equation. II. Mean field approximation
Lebowitz, J.L.; Rose, H.A.; Speer, E.R.
1989-01-01T23:59:59.000Z
The authors investigate a mean field approximation to the statistical mechanics of complex fields with dynamics governed by the nonlinear Schroedinger equation. Such fields, whose Hamiltonian is unbounded below, may model plasmas, lasers, and other physical systems. Restricting themselves to one-dimensional systems with periodic boundary conditions, we find in the mean field approximation a phase transition from a uniform regime to a regime in which the system is dominated by solitons. They compute explicitly, as a function of temperature and density (L/sup 2/ norm), the transition point at which the uniform configuration becomes unstable to local perturbations; static and dynamic mean field approximations yield the same result.
Frénod, Emmanuel
, , , W , J, ) r t = (EDr + MCDr ), t = W q(r)R + ED + MCD r , t = W R , W t = (E0 + E1 ) - J |B| + W
NUMERICAL ANALYSIS OF A FINITE ELEMENT SCHEME FOR THE APPROXIMATION OF HARMONIC MAPS INTO SURFACES
Bartels, Soeren
NUMERICAL ANALYSIS OF A FINITE ELEMENT SCHEME FOR THE APPROXIMATION OF HARMONIC MAPS INTO SURFACES Geometric partial differential equations and their analysis as well as numerical simulation have recently
Burke, Kieron
Leading corrections to local approximations Attila Cangi, Donghyung Lee, Peter Elliott, and Kieron efficiency and accuracy. The original density functional theory was that of Thomas1 and Fermi2 TF , in which
Horowitz, Jordan M
2015-01-01T23:59:59.000Z
The stochastic thermodynamics of a dilute, well-stirred mixture of chemically-reacting species is built on the stochastic trajectories of reaction events obtained from the Chemical Master Equation. However, when the molecular populations are large, the discrete Chemical Master Equation can be approximated with a continuous diffusion process, like the Chemical Langevin Equation or Low Noise Approximation. In this paper, we investigate to what extent these diffusion approximations inherit the stochastic thermodynamics of the Chemical Master Equation. We find that a stochastic-thermodynamic description is only valid at a detailed-balanced, equilibrium steady state. Away from equilibrium, where there is no consistent stochastic thermodynamics, we show that one can still use the diffusive solutions to approximate the underlying thermodynamics of the Chemical Master Equation.
IMPROVED QUASI-STEADY-STATE-APPROXIMATION METHODS FOR ATMOSPHERIC CHEMISTRY INTEGRATION
Jay, Laurent O.
IMPROVED QUASI-STEADY-STATE-APPROXIMATION METHODS FOR ATMOSPHERIC CHEMISTRY INTEGRATION L. O. JAY are presented. Key words. atmospheric chemistry, stiff ordinary differential equations, quasi PII. S1064827595283033 1. Introduction. As our scientific understanding of atmospheric chemistry
Gu, M; Li, X S; Vassilevski, P S
2010-03-16T23:59:59.000Z
For a given symmetric positive definite matrix A {element_of} R{sup N x N}, we develop a fast and backward stable algorithm to approximate A by a symmetric positive-definite semi-separable matrix, accurate to a constant multiple of any prescribed tolerance. In addition, this algorithm preserves the product, AZ, for a given matrix Z {element_of} R{sup N x d}, where d << N. Our algorithm guarantees the positive-definiteness of the semi-separable matrix by embedding an approximation strategy inside a Cholesky factorization procedure to ensure that the Schur complements during the Cholesky factorization all remain positive definite after approximation. It uses a robust direction-preserving approximation scheme to ensure the preservation of AZ. We present numerical experiments and discuss potential implications of our work.
Gu, Ming; Li, Xiaoye Sherry; Vassilevski, Panayot S.
2009-10-20T23:59:59.000Z
For a given symmetric positive definite matrix A {element_of} R{sup nxn}, we develop a fast and backward stable algorithm to approximate A by a symmetric positive-definite semi-separable matrix, accurate to any prescribed tolerance. In addition, this algorithm preserves the product, AZ, for a given matrix Z {element_of} R{sup nxd}, where d << n. Our algorithm guarantees the positive-definiteness of the semi-separable matrix by embedding an approximation strategy inside a Cholesky factorization procedure to ensure that the Schur complements during the Cholesky factorization all remain positive definite after approximation. It uses a robust direction-preserving approximation scheme to ensure the preservation of AZ. We present numerical experiments and discuss potential implications of our work.
Efficient and private distance approximation in the communication and streaming models
Woodruff, David Paul, 1980-
2007-01-01T23:59:59.000Z
This thesis studies distance approximation in two closely related models - the streaming model and the two-party communication model. In the streaming model, a massive data stream is presented in an arbitrary order to a ...
Value Function Approximation on Non-Linear Manifolds for Robot Motor Control
Sugiyama, Masashi; Hachiya, Hirotaka; Towell, Christopher; Vijayakumar, Sethu
The least squares approach works efficiently in value function approximation, given appropriate basis functions. Because of its smoothness, the Gaussian kernel is a popular and useful choice as a basis function. However, ...
L. W. Yeh; G. T. Chen; H. K. Chang
2006-12-22T23:59:59.000Z
To derive physical properties of the neutron star surface with observed spectra, a realistic model spectrum of neutron star surface emission is essential. Limited by computing resources, a full computation of the radiative transfer equations without the diffusion approximation has been conducted up to date only for the case of local magnetic fields being perpendicular to the stellar surface. In this paper we report the full-computation result for an arbitrary field direction. For comparison we also compute the radiative transfer equation using the diffusion approximation. For a given effective temperature, the computed spectrum with the diffusion approximation is always softer than that of a full computation at a non-negligible level. It leads to an over-estimate of the effective temperature if the diffusion approximation spectrum is employed in the spectral fitting. Other characteristics for different magnetic field orientations, such as the beaming pattern of the two polarization modes and the structure of the atmosphere, are also discussed.
Weighted Radon transforms for which the Chang approximate inversion formula is precise
Roman Novikov
2011-01-17T23:59:59.000Z
We describe all weighted Radon transforms on the plane for which the Chang approximate inversion formula is precise. Some subsequent results, including the Cormack type inversion for these transforms, are also given.
Error Analysis of Free Probability Approximations to the Density of States of Disordered Systems
Chen, Jiahao
Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensemble-averaged density of states ...
, Columbia University, New York, NY 10027, USA. (Dated: May 11, 2011) Estimating the ground state energy#12;A fast algorithm for approximating the ground state energy on a quantum computer Anargyros
Combining Strategies for Parallel Stochastic Approximation Monte Carlo Algorithm of Big Data
Lin, Fang-Yu
2014-10-15T23:59:59.000Z
of iterations and is prone to get trapped into local optima. On the other hand, Stochastic Approximation in Monte Carlo algorithm (SAMC), a very sophisticated algorithm in theory and applications, can avoid getting trapped into local optima and produce more...
How Accurate are the Gaussian and Gamma Approximations to the Outage Capacity of MIMO Channels ?
Øien, Geir E.
How Accurate are the Gaussian and Gamma Approximations to the Outage Capacity of MIMO Channels MIMO capacity complementary cumulative distribution functions, or equivalently, the outage capacity distribution function (CDF) (also known as the outage capacity), or equivalently, the capacity complementary
V. Rezania; Y. Sobouti
1998-04-27T23:59:59.000Z
The post-Newtonian approximation of general relativistic Liouville's equation is presented. Two integrals of it, generalizations of the classical energy and angular momentum, are obtained. Polytropic models are constructed as an application.
Moist processes and the quasi-hydrostatic approximation in a mesoscale numerical model
Kennedy, Charles Joseph
1987-01-01T23:59:59.000Z
MOIST PROCESSES AND THE QUASI-HYDROSTATIC APPROXIMATION IN A MESOSCALE NUMERICAL MODEL A Thesis by CHARLES JOSEPH KENNEDY Submitted to the Graduate College of Texas A&M University in partial fulfillment of the requirement for the degree... of MASTER OF SCIENCE December 1987 Major Subject: Meteorology MOIST PROCESSES AND THE QUASI-HYDROSTATIC APPROXIMATION IN A MESOSCALE NUMERICAL MODEL A Thesis by CHARLES JOSEPH KENNEDY Approved as to style and content by: Dusan Djuric (Chair...
The Casimir Energy for a Hyperboloid Facing a Plate in the Optical Approximation
O. Schroeder; A. Scardicchio; R. L. Jaffe
2005-07-21T23:59:59.000Z
We study the Casimir energy of a massless scalar field that obeys Dirichlet boundary conditions on a hyperboloid facing a plate. We use the optical approximation including the first six reflections and compare the results with the predictions of the proximity force approximation and the semi-classical method. We also consider finite size effects by contrasting the infinite with a finite plate. We find sizable and qualitative differences between the new optical method and the more traditional approaches.
Quasiparticle and Optical Excitations in Solid Ne and Ar: GW and BSE Approximations
Patterson, Charles H.; Galamic-Mulaomerovic, S. [School of Physics, Trinity College Dublin, Dublin 2 (Ireland)
2007-12-26T23:59:59.000Z
The GW approximation and the Bethe-Salpeter equation (BSE) have been used to calculate quasiparticle and optical excitations in solid Ne and Ar. Absolute positions of quasiparticle and quasihole energies are found to be in very good agreement with experimental values. Binding energies of Frenkel excitons for these systems calculated using the BSE are also in good agreement with experiment. Splitting of excitons into longitudinal and transverse modes is calculated and found to be approximately twice the experimentally measured value.
Pokta, Suriani
2004-11-15T23:59:59.000Z
of the requirements for the degree of DOCTOR OF PHILOSOPHY August 2004 Major Subject: Statistics BAYESIAN MODEL SELECTION USING EXACT AND APPROXIMATED POSTERIOR PROBABILITIES WITH APPLICATIONS TO STAR DATA A Dissertation by SURIANI POKTA Submitted to Texas A.... Longnecker (Head of Department) August 2004 Major Subject: Statistics iii ABSTRACT Bayesian Model Selection Using Exact and Approximated Posterior Probabilities with Applications to Star Data. (August 2004) Suriani Pokta, B.S., Mathematics, University...
Prinsloo, R. H.; Tomasevic, D. I. [Necsa, PO Box 582, Pretoria, 0001 (South Africa)
2012-07-01T23:59:59.000Z
Transverse integrated nodal diffusion methods currently represent the standard in full core neutronic simulation. The primary shortcoming in this approach is the utilization of the quadratic transverse leakage approximation. This approach, although proven to work well for typical LWR problems, is not consistent with the formulation of nodal methods and can cause accuracy and convergence problems. In previous work, an improved, consistent quadratic leakage approximation was formulated, which derived from the class of higher order nodal methods developed some years ago. In this paper a number of iteration schemes are developed around this consistent quadratic leakage approximation which yield accurate node average results in much improved calculational times. The developed consistent leakage approximation is extended in this work via a number of numerical schemes, the most promising of which results from utilizing the consistent leakage approximation as a correction method to the standard quadratic leakage approximation. Numerical results are demonstrated on a set of benchmark problems, such as the 3D IAEA LWR and MOX C5 problems. (authors)
Approximate l-fold cross-validation with Least Squares SVM and Kernel Ridge Regression
Edwards, Richard E [ORNL] [ORNL; Zhang, Hao [ORNL] [ORNL; Parker, Lynne Edwards [ORNL] [ORNL; New, Joshua Ryan [ORNL] [ORNL
2013-01-01T23:59:59.000Z
Kernel methods have difficulties scaling to large modern data sets. The scalability issues are based on computational and memory requirements for working with a large matrix. These requirements have been addressed over the years by using low-rank kernel approximations or by improving the solvers scalability. However, Least Squares Support VectorMachines (LS-SVM), a popular SVM variant, and Kernel Ridge Regression still have several scalability issues. In particular, the O(n^3) computational complexity for solving a single model, and the overall computational complexity associated with tuning hyperparameters are still major problems. We address these problems by introducing an O(n log n) approximate l-fold cross-validation method that uses a multi-level circulant matrix to approximate the kernel. In addition, we prove our algorithm s computational complexity and present empirical runtimes on data sets with approximately 1 million data points. We also validate our approximate method s effectiveness at selecting hyperparameters on real world and standard benchmark data sets. Lastly, we provide experimental results on using a multi-level circulant kernel approximation to solve LS-SVM problems with hyperparameters selected using our method.
Cuniberti, Gianaurelio
an analytical theory for this case. This theory is based on the self-consistent Born approximation SCBA , which
APPROXIMATION ON NASH SETS WITH MONOMIAL SINGULARITIES (joint work with J.F. Fernando and J.M. Ruiz)
Baro, Elías
APPROXIMATION ON NASH SETS WITH MONOMIAL SINGULARITIES Elías Baro (joint work with J.F. Fernando and J.M. Ruiz) Universidad Complutense de Madrid APPROXIMATION ON NASH SETS WITH MONOMIAL SINGULARITIES and definitions This work is devoted to the approximation of differentiable semialgebraic functions by Nash
Approximate inference on planar graphs using loop calculus and belief progagation
Chertkov, Michael [Los Alamos National Laboratory; Gomez, Vicenc [RADBOUD UNIV; Kappen, Hilbert [RADBOUD UNIV
2009-01-01T23:59:59.000Z
We introduce novel results for approximate inference on planar graphical models using the loop calculus framework. The loop calculus (Chertkov and Chernyak, 2006b) allows to express the exact partition function Z of a graphical model as a finite sum of terms that can be evaluated once the belief propagation (BP) solution is known. In general, full summation over all correction terms is intractable. We develop an algorithm for the approach presented in Chertkov et al. (2008) which represents an efficient truncation scheme on planar graphs and a new representation of the series in terms of Pfaffians of matrices. We analyze in detail both the loop series and the Pfaffian series for models with binary variables and pairwise interactions, and show that the first term of the Pfaffian series can provide very accurate approximations. The algorithm outperforms previous truncation schemes of the loop series and is competitive with other state-of-the-art methods for approximate inference.
Maz'ya, Vladimir; Nieves, Michael
2010-01-01T23:59:59.000Z
We describe a method of asymptotic approximations to solutions of mixed boundary value problems for the Laplacian in a three-dimensional domain with many perforations of arbitrary shape, with the Neumann boundary conditions being prescribed on the surfaces of small voids. The only assumption made on the geometry is that the diameter of a void is assumed to be smaller compared to the distance to the nearest neighbour. The asymptotic approximation, obtained here, involves a linear combination of dipole fields constructed for individual voids, with the coefficients, which are determined by solving a linear algebraic system. We prove the solvability of this system and derive an estimate for its solution. The energy estimate is obtained for the remainder term of the asymptotic approximation.
Relativistic equation of state at subnuclear densities in the Thomas-Fermi approximation
Zhang, Z. W.; Shen, H., E-mail: shennankai@gmail.com [School of Physics, Nankai University, Tianjin 300071 (China)
2014-06-20T23:59:59.000Z
We study the non-uniform nuclear matter using the self-consistent Thomas-Fermi approximation with a relativistic mean-field model. The non-uniform matter is assumed to be composed of a lattice of heavy nuclei surrounded by dripped nucleons. At each temperature T, proton fraction Y{sub p} , and baryon mass density ? {sub B}, we determine the thermodynamically favored state by minimizing the free energy with respect to the radius of the Wigner-Seitz cell, while the nucleon distribution in the cell can be determined self-consistently in the Thomas-Fermi approximation. A detailed comparison is made between the present results and previous calculations in the Thomas-Fermi approximation with a parameterized nucleon distribution that has been adopted in the widely used Shen equation of state.
Vladimir Maz'ya; Alexander Movchan; Michael Nieves
2010-05-24T23:59:59.000Z
We describe a method of asymptotic approximations to solutions of mixed boundary value problems for the Laplacian in a three-dimensional domain with many perforations of arbitrary shape, with the Neumann boundary conditions being prescribed on the surfaces of small voids. The only assumption made on the geometry is that the diameter of a void is assumed to be smaller compared to the distance to the nearest neighbour. The asymptotic approximation, obtained here, involves a linear combination of dipole fields constructed for individual voids, with the coefficients, which are determined by solving a linear algebraic system. We prove the solvability of this system and derive an estimate for its solution. The energy estimate is obtained for the remainder term of the asymptotic approximation.
On Lossless Approximations, the Fluctuation-Dissipation Theorem, and Limitations of Measurements
Sandberg, Henrik; Doyle, John C
2010-01-01T23:59:59.000Z
In this paper, we take a control-theoretic approach to answering some standard questions in statistical mechanics, and use the results to derive limitations of classical measurements. A central problem is the relation between systems which appear macroscopically dissipative but are microscopically lossless. We show that a linear system is dissipative if, and only if, it can be approximated by a linear lossless system over arbitrarily long time intervals. Hence lossless systems are in this sense dense in dissipative systems. A linear active system can be approximated by a nonlinear lossless system that is charged with initial energy. As a by-product, we obtain mechanisms explaining the Onsager relations from time-reversible lossless approximations, and the fluctuation-dissipation theorem from uncertainty in the initial state of the lossless system. The results are applied to measurement devices and are used to quantify limits on the so-called observer effect, also called back action, which is the impact the me...
Jun Li; Jinshuang Jin; Xin-Qi Li; YiJing Yan
2014-06-26T23:59:59.000Z
Beyond the second-order Born approximation, we develop an improved master equation approach to quantum transport by virtue of a self-consistent Born approximation. The basic idea is replacing the free Green's function in the tunneling self-energy by an effective reduced propagator under the Born approximation. We found that the effect of this simple improvement is remarkable, for instance, it can not only recover the exact result of noninteracting transport under arbitrary voltages, but also predict the challenging nonequilibrium Kondo effect. In addition to having an elegant structure, the application convenience and accuracy of the proposed scheme, as demonstrated by the examples in this work, may suggest it a useful tool for quantum transports.
An improved approximation scheme for the centrifugal term and the Hulthen potential
Sameer M. Ikhdair
2009-01-07T23:59:59.000Z
We present a new approximation scheme for the centrifugal term to solve the Schrodinger equation with the Hulthen potential for any arbitrary l state by means of a mathematical Nikiforov-Uvarov (NU) method. We obtain the bound state energy eigenvalues and the normalized corresponding eigenfunctions expressed in terms of the Jacobi polynomials or hypergeometric functions for a particle exposed to this potential field. Our numerical results of the energy eigenvalues are found to be in high agreement with those results obtained by using the program based on a numerical integration procedure. The s-wave (l=0) analytic solution for the binding energies and eigenfunctions of a particle are also calculated. The physical meaning of the approximate analytical solution is discussed. The present approximation scheme is systematic and accurate.
Power Spectra beyond the Slow Roll Approximation in Theories with Non-Canonical Kinetic Terms
Carsten van de Bruck; Mathew Robinson
2014-07-23T23:59:59.000Z
We derive analytical expressions for the power spectra at the end of inflation in theories with two inflaton fields and non-canonical kinetic terms. We find that going beyond the slow-roll approximation is necessary and that the nature of the non-canonical terms have an important impact on the final power spectra at the end of inflation. We study five models numerically and find excellent agreement with our analytical results. Our results emphasise the fact that going beyond the slow-roll approximation is important in times of high-precision data coming from cosmological observations.
H. Socas-Navarro; J. Trujillo Bueno; E. Landi Degl'Innocenti
2005-05-16T23:59:59.000Z
The \\ion{He}{1} multiplet at 10830 \\AA is formed in the incomplete Paschen-Back regime for typical conditions found in solar and stellar atmospheres. The positions and strengths of the various components that form the Zeeman structure of this multiplet in the Paschen-Back regime are approximated here by polynomials. The fitting errors are smaller than $\\sim10^{-2}$ m\\AA in the component positions and $\\sim10^{-3}$ in the relative strengths. The approximant polynomials allow for a very fast implementation of the incomplete Paschen-Back regime in numerical codes for the synthesis and inversion of polarization profiles in this important multiplet.
On the approximations of the distribution function of fusion alpha particles
Bilato, R., E-mail: roberto.bilato@ipp.mpg.de; Brambilla, M.; Poli, E. [Max Planck Institute for Plasma Physics, EURATOM Association, Boltzmannstr. 2, 85748 Garching (Germany)
2014-10-15T23:59:59.000Z
The solution of the drift-kinetic equation for fusion-born alpha particles is derived in the limit of dominant parallel streaming, and it is related to the usual slowing-down distribution function. The typical approximations of the fast tail of fusion-born alpha particles are briefly compared and discussed. In particular, approximating the distribution function of fast-alpha particles with an “equivalent” Maxwellian is inaccurate to describe absorption of radio-frequency waves in the ion-cyclotron range of frequencies.
Amand Faessler; G. L. Fogli; E. Lisi; V. Rodin; A. M. Rotunno; F. Simkovic
2009-03-06T23:59:59.000Z
The variances and covariances associated to the nuclear matrix elements (NME) of neutrinoless double beta decay are estimated within the quasiparticle random phase approximation (QRPA). It is shown that correlated NME uncertainties play an important role in the comparison of neutrinoless double beta decay rates for different nuclei, and that they are degenerate with the uncertainty in the reconstructed Majorana neutrino mass.
Neutrinoless double beta decay of 48Ca in the shell model: Closure versus nonclosure approximation
R. A. Sen'kov; M. Horoi
2013-12-16T23:59:59.000Z
Neutrinoless double-beta decay is a unique process that could reveal physics beyond the Standard Model. Essential ingredients in the analysis of neutrinoless double-beta rates are the associated nuclear matrix elements. Most of the approaches used to calculate these matrix elements rely on the closure approximation. Here we analyze the light neutrino-exchange matrix elements of 48Ca neutrinoless double-beta decay and test the closure approximation in a shell-model approach. We calculate the neutrinoless double-beta nuclear matrix elements for 48Ca using both the closure approximation and a nonclosure approach, and we estimate the uncertainties associated with the closure approximation. We demonstrate that the nonclosure approach has excellent convergence properties which allow us to avoid unmanageable computational cost. Combining the nonclosure and closure approaches we propose a new method of calculation for neutrinoless double-beta decay rates which can be applied to the neutrinoless double-beta decay rates of heavy nuclei, such as 76Ge or 82Se.
Approximation Theory and Finite Element Analysis January 2014 Lecturer David Silvester
Silvester, David J.
Approximation Theory and Finite Element Analysis January 2014 Lecturer David Silvester Office Alan Analysis, CUP, 2003. · Dietrich Braess, Finite Elements: Theory, Fast Solvers and Applications in Solid Mechanics, CUP, Third Edition, 2007. · Howard Elman, David Silvester and Andy Wathen, Finite Elements
Reinforcement Learning Control with Approximation of Time-Dependent Agent Dynamics
Kirkpatrick, Kenton
2013-04-30T23:59:59.000Z
.4.2 Rotating Robot . . . . . . . . . . . . . . . . . . . . . . . . . . 45 4. DYNAMICS APPROXIMATION LEARNING . . . . . . . . . . . . . . . 56 4.1 First-Order Dynamics Learning . . . . . . . . . . . . . . . . . . . . . 58 4.2 Second-Order Dynamics Learning... . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186 B.4 Overdamped . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188 viii LIST OF FIGURES FIGURE Page 2.1 Perceptron . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2 Q-learning Simulation of Robot - Goal...
The University of Minnesota saves approximately $3 million annually as a result of district cooling,
Webb, Peter
Benefits The University of Minnesota saves approximately $3 million annually as a result running stand-alone units in individual buildings. Money is saved through: · Reducedmaintenancecosts eco-friendly products. The district unit's efficiency means they use less energy. Cost Savings Annual
A Coupled AtmosphereOcean Radiative Transfer System Using the Analytic Four-Stream Approximation
Liou, K. N.
of the ocean. Shortwave radiation from the sun contributes most of the heat fluxes that penetrate the airA Coupled AtmosphereOcean Radiative Transfer System Using the Analytic Four-Stream Approximation WEI-LIANG LEE AND K. N. LIOU Department of Atmospheric and Oceanic Sciences, University of California
Abstract. Experimental enthalpies of formation have been approximated using single-point HartreeFock
Csonka, Gábor István
Abstract. Experimental enthalpies of formation have been approximated using single-point Hartree from the G2/97 thermochem- istry database (containing small molecules) together with natural population deviations from the experimental enthalpies of formation for the selected 51 molecules are 1.15, 3.96, and 2
Physical approximations for the nonlinear evolution of perturbations in dark energy scenarios
L. R. Abramo; R. C. Batista; L. Liberato; R. Rosenfeld
2008-06-20T23:59:59.000Z
The abundance and distribution of collapsed objects such as galaxy clusters will become an important tool to investigate the nature of dark energy and dark matter. Number counts of very massive objects are sensitive not only to the equation of state of dark energy, which parametrizes the smooth component of its pressure, but also to the sound speed of dark energy as well, which determines the amount of pressure in inhomogeneous and collapsed structures. Since the evolution of these structures must be followed well into the nonlinear regime, and a fully relativistic framework for this regime does not exist yet, we compare two approximate schemes: the widely used spherical collapse model, and the pseudo-Newtonian approach. We show that both approximation schemes convey identical equations for the density contrast, when the pressure perturbation of dark energy is parametrized in terms of an effective sound speed. We also make a comparison of these approximate approaches to general relativity in the linearized regime, which lends some support to the approximations.
Abramo, L. R.; Batista, R. C. [Instituto de Fisica, Universidade de Sao Paulo, CP 66318, 05315-970, Sao Paulo (Brazil); Liberato, L.; Rosenfeld, R. [Instituto de Fisica Teorica, Universidade Estadual Paulista, R. Pamplona 145, 01405-900, Sao Paulo (Brazil)
2009-01-15T23:59:59.000Z
The abundance and distribution of collapsed objects such as galaxy clusters will become an important tool to investigate the nature of dark energy and dark matter. Number counts of very massive objects are sensitive not only to the equation of state of dark energy, which parametrizes the smooth component of its pressure, but also to the sound speed of dark energy, which determines the amount of pressure in inhomogeneous and collapsed structures. Since the evolution of these structures must be followed well into the nonlinear regime, and a fully relativistic framework for this regime does not exist yet, we compare two approximate schemes: the widely used spherical collapse model and the pseudo-Newtonian approach. We show that both approximation schemes convey identical equations for the density contrast, when the pressure perturbation of dark energy is parametrized in terms of an effective sound speed. We also make a comparison of these approximate approaches to general relativity in the linearized regime, which lends some support to the approximations.
Weighted Radon transforms for which the Chang approximate inversion formula is precise
Paris-Sud XI, Université de
Weighted Radon transforms for which the Chang approximate inversion formula is precise R.G. Novikov formula is precise. Some subsequent results, including the Cormack type inversion for these transforms, are also given. 1.Introduction We consider the weighted ray transformation PW defined by the formula PW f
Approximate Bayesian Inference for Reconstructing Velocities of Migrating Birds from Weather Radar
Approximate Bayesian Inference for Reconstructing Velocities of Migrating Birds from Weather Radar network of weather radars in the US hold detailed information about the continent-scale migratory of a radar station. This is part of a larger project to quantify bird migration at large scales using weather
Using the Wavenet for function approximation Alexander Ypma and Robert P. W. Duin
Duin, Robert P.W.
Using the Wavenet for function approximation Alexander Ypma and Robert P. W. Duin Pattern are known to be a suitable technique. The Wavenet combines them with the wavelet transform, enabling a multi of the Wavenet are investigated and an outlook to application in machinery monitoring is provided. 1 Introduction
Chan, Kung-Sik
Kalman Filter Kwang Woo Ahn Division of Biostatistics Medical College of Wisconsin, Milwaukee, WI 53226 function computed approximately via unscented Kalman filter (UKF). We derive conditions 1 #12;under which. ---------------------------- Keywords: Nonlinear time series; State-space model; Unscented Kalman filter; SIR model. 1. INTRODUCTION
Large Scale Approximate Inference and Experimental Design for Sparse Linear Models
Seeger, Matthias
Large Scale Approximate Inference and Experimental Design for Sparse Linear Models Matthias W.kyb.tuebingen.mpg.de/bs/people/seeger/ 27 June 2008 Matthias W. Seeger (MPI BioCyb) Large Scale Bayesian Experimental Design 27/6/08 1 / 27 Algorithms 4 Magnetic Resonance Imaging Sequences Matthias W. Seeger (MPI BioCyb) Large Scale Bayesian
Gibbons, Phillip B.
optimizer to estimate plan costs; such an application demands very fast response times but not exact answers to provide fast, approximate answers to complex aggregate queries based on statistical summaries of the full solely on providing exact answers to queries, in a manner that seeks to minimize response time
Hiskens, Ian A.
, and Uncertainty in Power System Dynamic Simulation Ian A. Hiskens, Fellow, IEEE, and Jassim Alseddiqui, Student1808 IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 21, NO. 4, NOVEMBER 2006 Sensitivity, Approximation Member, IEEE Abstract--Parameters of power system models, in particular load models, are seldom known
The Approximation of Outage Probability and the Trade-off between Capacity and Diversity for the
Scharf, Louis
The Approximation of Outage Probability and the Trade-off between Capacity and Diversity for the Frequency-Selective Channel Zhifei Fan Department of Electrical and Computer Engineering Colorado State University Fort Collins, CO 80523 Email: fanz@engr.colostate.edu Louis Scharf Department of Electrical
On-line and Approximation Algorithms Fall Semester, 2011/12 Final Exam: February 8, 2012
Azar, Yossi
On-line and Approximation Algorithms Fall Semester, 2011/12 Final Exam: February 8, 2012 Lecturer a subset of machines Si of size m/2 and two values wi and pi. Assigning job i is assigned to a machine j Si increases the load of j by wi where assigning job i to a machine j / Si increases the load of j
On-line and Approximation Algorithms Fall Semester, 2009/10 Final Exam: January 25, 2010
Azar, Yossi
On-line and Approximation Algorithms Fall Semester, 2009/10 Final Exam: January 25, 2010 Lecturer capacity. At round i we receive a request to connect si to ti with one of two options. The first non additive constant is needed). The duration of the exam is 3 hours. GOOD LUCK 1 #12;
On-line and Approximation Algorithms Spring Semester, 2006 Final Exam: June 12, 2006
Azar, Yossi
On-line and Approximation Algorithms Spring Semester, 2006 Final Exam: June 12, 2006 Lecturer: Prof problem on m (divisible by 3) machines. Job i has weight wi and a subset Si of size m/3 of the m machines. The job has to be assigned to one machine in Si. (a) Design a 4 competitive algorithm. (b) Show
Maximum Entropy Solution to Ill-posed Inverse Problems with Approximately
Pelletier, Bruno
physical assumptions, the radi- ance may be related to the aerosol vertical profile by a Fredholm integral and Gassiat, 1999) and have proved useful in seismic tomography (Fermin, Loubes and Ludena, 2006) and in image of accuracy of the approximation or the order of a model. As an exemple, in remote sensing of aerosol vertical
A closed-form approximate expression for the optical conductivity of graphene
Simsek, Ergun
A closed-form approximate expression for the optical conductivity of graphene Ergun Simsek School for the optical conductivity of graphene is developed, which generates re- sults with less than 0.8% maximum.001437 Graphene, a one atom thick sheet of carbon atoms, has been receiving a great deal of interest since its
A New 2D-Transport, 1D-Diffusion Approximation of the Boltzmann Transport equation
Larsen, Edward
2013-06-17T23:59:59.000Z
The work performed in this project consisted of the derivation, implementation, and testing of a new, computationally advantageous approximation to the 3D Boltz- mann transport equation. The solution of the Boltzmann equation is the neutron flux in nuclear reactor cores and shields, but solving this equation is difficult and costly. The new “2D/1D” approximation takes advantage of a special geometric feature of typical 3D reactors to approximate the neutron transport physics in a specific (ax- ial) direction, but not in the other two (radial) directions. The resulting equation is much less expensive to solve computationally, and its solutions are expected to be sufficiently accurate for many practical problems. In this project we formulated the new equation, discretized it using standard methods, developed a stable itera- tion scheme for solving the equation, implemented the new numerical scheme in the MPACT code, and tested the method on several realistic problems. All the hoped- for features of this new approximation were seen. For large, difficult problems, the resulting 2D/1D solution is highly accurate, and is calculated about 100 times faster than a 3D discrete ordinates simulation.
Approximately Optimal Auctions for Selling Privacy when Costs are Correlated with Data
Fiat, Amos
Approximately Optimal Auctions for Selling Privacy when Costs are Correlated with Data LISA K may suffer a cost when their data are used in which case they should be compensated. The analyst and sensitive data may be correlated, it is important to protect the privacy of both data and cost. We model
On Resource Allocation in Fading Multiple Access Channels -An Efficient Approximate Projection
MÃ©dard, Muriel
and power allocation policies that maximize a general concave utility function of average transmission rates] consider allocation of rate and power to maximize a linear utility function of the transmission rates over1 On Resource Allocation in Fading Multiple Access Channels - An Efficient Approximate Projection
Approximate Hierarchies of Linear Control Systems Antoine Girard and George J. Pappas
Pappas, George J.
Approximate Hierarchies of Linear Control Systems Antoine Girard and George J. Pappas Abstract introduced. The proposed hierarchical control architecture consists of a precise model (the concrete system) of the plant to be controlled and of a rough model (the abstract system) of the plant that is used for control
Approximate Bisimulations for Nonlinear Dynamical Systems Antoine Girard and George J. Pappas
Pappas, George J.
Approximate Bisimulations for Nonlinear Dynamical Systems Antoine Girard and George J. Pappas generalization of the exact notions of bisimulation of nonlinear dynamical systems [9], [20], [22]. Furthermore nonlinear systems. This is achieved by requiring that a distance between system observations starts
A SIMPLE CLOSURE APPROXIMATION FOR SLOW DYNAMICS OF A MULTISCALE SYSTEM: NONLINEAR AND
Abramov, Rafail
A SIMPLE CLOSURE APPROXIMATION FOR SLOW DYNAMICS OF A MULTISCALE SYSTEM: NONLINEAR response, multiscale systems, nonlinear coupling AMS subject classifications. 37M, 37N 1. Introduction slow and fast variables of the system. Many closure methods were designed for multiscale dynamical
New Sampling-Based Summary Statistics for Improving Approximate Query Answers
Gibbons, Phillip B.
techniques for their fast incremental maintenance regardless of the data distribution. We quantify mining [GM95, HHW97]. Moreover, as discussed by Faloutsos er al. [FJS97], sometimes the base data available. Techniques for fast approximate answers can also be used in a more traditional role within
Prior-independent Approximation In the last two chapters we discussed mechanism that performed well
Fiat, Amos
5 Prior-independent Approximation In the last two chapters we discussed mechanism that performed is natural when deriving mechanisms for games of in- complete information as the Bayes-Nash equilibrium mechanism with it. The goal of prior-independent mechanism design is to identify a single mech- anism
Improved Steiner Tree Approximation in Graphs Gabriel Robins \\Lambda Alexander Zelikovsky y
Zelikovsky, Alexander
). In quasibipartite graphs our heuristic achieves an approximation ratio of ß 1:28 in time O(mn 2 ), where m also show \\Lambda Department of Computer Science, University of Virginia, Thornton Hall, Charlottesville, VA, 22903, robins@cs.virginia.edu y Department of Computer Science, Georgia State University
Numerical approximation of bang-bang controls for the heat equation: an optimal design approach
Paris-Sud XI, Université de
Numerical approximation of bang-bang controls for the heat equation: an optimal design approach computation of null controls of minimal L -norm for the linear heat equation with a bounded potential. Both and boundary controllability cases, are described within this new approach. Keywords: Linear heat equation
Numerical approximation of null controls for the heat equation through transmutation
Sart, Remi
Numerical approximation of null controls for the heat equation through transmutation Arnaud M to the ill-posedness of the backward heat problem. The controls of minimal L2 -norm are characterized the control of a heat process in terms of the corresponding control of the associated wave process, by means
Some approximate Godunov schemes to compute shallow-water equations with topography
Gallouët, Thierry
Some approximate Godunov schemes to compute shallow-water equations with topography Thierry the computation of shallow-water equations with topography by Finite Volume methods, in a one are based on a discretisation of the topography by a piecewise function constant on each cell of the mesh
Job Scheduling Using successive Linear Programming Approximations of a Sparse Model
Paris-Sud XI, Université de
Job Scheduling Using successive Linear Programming Approximations of a Sparse Model Stephane of parallel jobs on a set of processors either in a cluster or in a multiprocessor computer. For the makespan objective, i.e., the comple- tion time of the last job, this problem has been shown to be NP
Yaron, David
Embedding parameters in ab initio theory to develop well- controlled approximations based Journal of Chemical Theory and Computation #12;1 Embedding parameters in ab initio theory to develop well-controlled on molecular similarity Journal: Journal of Chemical Theory and Computation Manuscript ID: Draft Manuscript
Strategie s for Walking on Potential Energy Surfaces Using Local Quadratic Approximations
Simons, Jack
Strategie s for Walking on Potential Energy Surfaces Using Local Quadratic Approximations JACK on potential energy surfaces is further analyzed. This method utilizes local gradient and Hessian (Le., fust and second energy derivative) information to generate a series of "steps" that are folIowed to the desired
1 STATIC SECTORIZATION APPROACH TO DYNAMIC AIRSPACE CONFIGURATION USING APPROXIMATE DYNAMIC to Dynamic Airspace Configuration (DAC) by static sectorization. The objective of this paper is to address the issue of static sectorization by partitioning airspace based on controller workload i.e. airspace
MULTI-CRITERIA SEARCH ALGORITHM: AN EFFICIENT APPROXIMATE K-NN ALGORITHM FOR IMAGE RETRIEVAL
MULTI-CRITERIA SEARCH ALGORITHM: AN EFFICIENT APPROXIMATE K-NN ALGORITHM FOR IMAGE RETRIEVAL Mehdi-NN search in large scale image databases, based on top-k multi-criteria search tech- niques. The method retrieval, stor- age requirements and update cost. The search algorithm delivers ap- proximate results
Bonet, Blai
variables that are all relevant to a given precondition or goal. In this work, we extend this result both, and powerful approximation that trades completeness by speed, and is both time and space exponential yields state-of-the-art real-time performance in domains with high widths but low causal widths
Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates
Frénod, Emmanuel
-* convergence results. 1 Introduction Nowadays, domestic energy production by using magnetic confinement fusion magnetic confinement, needed to reach nuclear fusion reaction, is a very complex phys- ical phenomenon results about the approximation of the Vlasov-Poisson system with a strong external magnetic field
of algorithms adapted to massively parallel computers. 1 #12; 1 Introduction The early days of global atmospheric modeling saw significant efforts in adapting then current numerical methods to solving fluid flow alternative methods of approximation for global atmospheric models. Currently there is renewed interest
Approximation of Stationary Control Policies by Quantized Control in Markov Decision Processes
YÃ¼ksel, Serdar
Approximation of Stationary Control Policies by Quantized Control in Markov Decision Processes Naci quantizers are also derived. Thus, one can search for -optimal policies within quantized control policies. These pave the way for applications in optimal design of networked control systems where controller actions
Analytical approximation methods for the stabilizing solution of the Hamilton-Jacobi
Schaft, Arjan van der
1 Analytical approximation methods for the stabilizing solution of the Hamilton-Jacobi equation the stabilizing solution of the Hamilton-Jacobi equation are proposed using symplectic geometry and a Hamiltonian of the Hamilton-Jacobi equation as an integrable Hamiltonian system with a perturbation caused by control
On the Approximability of the Exemplar Adjacency Number Problem for Genomes with Gene Repetitions
Zhu, Binhai
On the Approximability of the Exemplar Adjacency Number Problem for Genomes with Gene Repetitions the similarity between two genomes (or in general, be- tween any two sequences drawn from the same alphabet). For two genomes G and H drawn from the same set of n gene families and containing gene repeti- tions, we
Fast Approximate Energy Minimization via Graph Cuts Yuri Boykov Olga Veksler Ramin Zabih
Field, David
Fast Approximate Energy Minimization via Graph Cuts Yuri Boykov Olga Veksler Ramin Zabih Computer of minimizing a large class of energy functions that occur in early vision. The major restriction is that the energy func- tion's smoothness term must only involve pairs of pix- els. We propose two algorithms
TIME-VARYING LINEAR MODEL APPROXIMATION: APPLICATION TO THERMAL AND AIRFLOW BUILDING SIMULATION
Paris-Sud XI, Université de
TIME-VARYING LINEAR MODEL APPROXIMATION: APPLICATION TO THERMAL AND AIRFLOW BUILDING SIMULATION Nowadays, most of the numerical tools dedicated to simulating the thermal behavior of buildings, consider is demonstrated by its application to the simulation of a multi-zones building. THERMAL AND AIRFLOW MODELS
Berlin,Technische Universität
interfaces Sebastian Mathiowetz1 , Hannes A. Bonhoff Institute of Fluid Mechanics and Engineering Acoustics-shaped contact interfaces by means of discretization. In this work the accuracy of the single equivalent approximation [1] and the interface mobility method [2] to be expected with regard to power transmission
A New Approximate Matrix Factorization for Implicit Time Integration in Air Pollution
Botchev, Mike
A New Approximate Matrix Factorization for Implicit Time Integration in Air Pollution Modeling + M on the one hand and its e#ciency on the other hand. For example, in air pollution modeling, AMF has been factorization, large sparse linear systems, sti# ODEs, method of lines, Rosenbrock methods, air pollution
A New Approximate Matrix Factorization for Implicit Time Integration in Air Pollution
Botchev, Mike
A New Approximate Matrix Factorization for Implicit Time Integration in Air Pollution Modeling M on the one hand and its efficiency on the other hand. For example, in air pollution modeling, AMF has been factorization, large sparse linear systems, stiff ODEs, method of lines, Rosenbrock methods, air pollution
Dynamic Programming Approximations for Stochastic, Time-Staged Integer Multicommodity Flow Problems
Topaloglu, Huseyin
. We propose an iterative, adaptive dynamic programming-based methodology that makes use of linear andDynamic Programming Approximations for Stochastic, Time-Staged Integer Multicommodity Flow Problems by a set of indivisible and reusable resources of different types. The assignment of a resource to a task
Extended Soft Binding Mean Spherical- Contact Probability Approximation for Hard Ions
Blum, L. [Department of Mathematics, Rutgers University (United States); Arias, M.; Veloz, D. V. Perez [Physics Department, University of Puerto Rico (Puerto Rico)
2009-03-09T23:59:59.000Z
We propose a new analytical theory of electrolytes that extends the range of the Mean Spherical Approximation (MSA) to include extremely high charges [1, 2, 3, 4, 5]. In the MSA the thermodynamics and structure of the most general electrolyte are given in terms of a single screening parameter {gamma}, [1] which is obtained from the simple algebraic equation.
Katsaounis, Theodoros D.
1 Relaxation Approximations to Shallow Water and Pollutant Transport Equations A.I. Delis solution of shallow water flows and the transport and diffusion of pollutant in such flows. By first can be considered as an alternative to classical finite difference methods. Keywords--Shallow water
Karhunen-Lo`eve Approximation of Random Fields by Generalized Fast Multipole Methods
Lang, Annika
Karhunen-Lo`eve Approximation of Random Fields by Generalized Fast Multipole Methods C. Schwab by Generalized Fast Multipole Methods C. Schwab and R.A. Todor Seminar fÂ¨ur Angewandte Mathematik Eidgen on a quasiuniform, possibly unstructured mesh of width h in D, plus a generalized Fast Multipole ac- celerated
Static multipole polarizabilities of S atoms or ions using the Frozen-Core approximation
Paris-Sud XI, Université de
137 Static multipole polarizabilities of S atoms or ions using the Frozen-Core approximation S. I'Hartree-Fock découplée. Abstract. 2014 Static multipole polarizabilities of S atoms or ions have been calculated by two 31.10 Recently we reported [1] a variational treatment for static multipole polarizabilities
Inversion of weighted Radon transforms via finite Fourier series weight approximations
Guillement, Jean-Pol
Inversion of weighted Radon transforms via finite Fourier series weight approximations J Moscow, Russia e-mail: novikov@cmap.polytechnique.fr Abstract. We consider weighted Radon transforms approach by numerical examples for the case of the attenuated Radon transforms in the framework
Fertin, Guillaume
On the Approximability of Comparing Genomes with Duplicates SÂ´ebastien Angibaud, Guillaume Fertin.angibaud,guillaume.fertin,irena.rusu}@univ-nantes.fr Abstract. A central problem in comparative genomics consists in computing a (dis-)simi- larity measure between two genomes, e.g. in order to construct a phylogenetic tree. A large number of such measures has
A 2-Approximation Algorithms for Genome Rearrangements by Reversals and Transpositions 1
Gu, Qianping
A 2-Approximation Algorithms for Genome Rearrangements by Reversals and Transpositions 1 Qian of Texas at Dallas, Richardson, TX 75083 U.S.A. Keywords: Sorting of permutations, genome rearrangements: Recently, a new approach to analyze genomes evolving was proposed which is based on comparison of gene
Fertin, Guillaume
On the Approximability of Comparing Genomes with Duplicates Sâ??ebastien Angibaud, Guillaume Fertin.angibaud,guillaume.fertin,irena.rusu}@univÂnantes.fr Abstract. A central problem in comparative genomics consists in computing a (disÂ)simiÂ larity measure between two genomes, e.g. in order to construct a phylogenetic tree. A large number of such measures has
The Exemplar Breakpoint Distance for non-trivial genomes cannot be approximated
Boyer, Edmond
The Exemplar Breakpoint Distance for non-trivial genomes cannot be approximated Guillaume Blin1 - France guillaume.fertin@univ-nantes.fr Abstract. A promising and active field of comparative genomics con- sists in comparing two genomes by establishing a one-to-one correspon- dence (i.e., a matching) between
Approximating the True Evolutionary Distance Between Two Genomes Krister M. Swenson
Moret, Bernard
Approximating the True Evolutionary Distance Between Two Genomes Krister M. Swenson Mark Marron Joel V. Earnest-DeYoung Bernard M.E. Moret Abstract As more and more genomes are sequenced, evolutionary bi- ologists are becoming increasingly interested in evolution at the level of whole genomes
The Exemplar Breakpoint Distance for Non-trivial Genomes Cannot Be Approximated
Blin, Guillaume
The Exemplar Breakpoint Distance for Non-trivial Genomes Cannot Be Approximated Guillaume Blin1 - France guillaume.fertin@univ-nantes.fr Abstract. A promising and active field of comparative genomics con- sists in comparing two genomes by establishing a one-to-one correspon- dence (i.e., a matching) between
How hard can it be to pitch a wind turbine blade? Moment of inertia approximately
How hard can it be to pitch a wind turbine blade? Moment of inertia approximately as a small car (1 ton) on 7 m arm Morten Hartvig Hansen Wind Energy Department Risø, DTU #12;How hard can it be to pitch a wind turbine blade? Hydraulic pitch actuator for the virtual NREL 5 MW turbine · Motivation · Actuator
RECONSTRUCTION OF THE EARLY UNIVERSE, ZELDOVICH APPROXIMATION AND MONGE-AMP`ERE GRAVITATION
(t, x) satisfies (0.2) = 1 + t. The Newton law for each gravitating bodies is just (0.3) t((t)2 tRECONSTRUCTION OF THE EARLY UNIVERSE, ZELDOVICH APPROXIMATION AND MONGE-AMP`ERE GRAVITATION YANN Monge-Amp`ere equation for the linear Poisson equation to model gravitation, we introduce a modified
An Approximate Method to Assess the Peaking Capability of the NW Hydroelectric System
DRAFT 1 An Approximate Method to Assess the Peaking Capability of the NW Hydroelectric System September 26, 2005 The best way to assess the hydroelectric system's peaking capability is to simulate its. This model simulates the operation of the major hydroelectric projects over a one-week (168 hour) period
Power and Effective Study Size Based on Approximations to the Expected Likelihood Ratio
Washington at Seattle, University of
Power and Effective Study Size Based on Approximations to the Expected Likelihood Ratio Test statistical power and precision of heritability estimates can be difficult particularly in complex pedigrees. Previous work focused on the power to detect heritability by using the expectation of the likelihood ratio
Green: A Framework for Supporting Energy-Conscious Programming using Controlled Approximation
Chilimbi, Trishul
/solution (QoS) for improvements in performance and reduc- tion in energy consumption. Programmers sometimes engine, indicate that Green can produce significant improvements in performance and energy consumptionGreen: A Framework for Supporting Energy-Conscious Programming using Controlled Approximation
Regier, Terry
Numeral systems across languages support efficient communication: From approximate numerosity this spectrum. We find that these numeral systems all reflect a functional need for efficient communication differ qualitatively in their numeral systems. At one extreme, some languages have a small set of number
A Wavelet-Based Approximation of Surface Coil Sensitivity Profiles for Correction of Image
A Wavelet-Based Approximation of Surface Coil Sensitivity Profiles for Correction of Image, Cambridge, Massachusetts Abstract: We evaluate a wavelet-based algorithm to estimate the coil sensitivity of the coil sensitivity profile based on the wavelet transform of the original image data was found to provide
Interior-point method for nuclear norm approximation with application to system identification
Vandenberghe, Lieven
Interior-point method for nuclear norm approximation with application to system identification Zhang Liu and Lieven Vandenberghe Abstract The nuclear norm (sum of singular values) of a matrix minimization and sparse signal estimation. In this paper we consider the problem of minimizing the nuclear norm
Approximation Algorithms For Wireless Sensor Deployment Xiaochun Xu and Sartaj Sahni
Sahni, Sartaj K.
will be able to adequately monitor the target region. When site selection is possible, we use deterministic of the problem considered here is in the deployment of chemical and radioactive sensors so as to monitor high risk targets that may be approximated as points; the cost of a sensor may be from hundreds of dollars
Green's function approximation from cross-correlation of active sources in the ocean
Gerstoft, Peter
Green's function approximation from cross-correlation of active sources in the ocean Laura A, California 92093 Received 15 January 2009; revised 1 May 2009; accepted 2 May 2009 Green's function, differences between the empirical Green's function estimates and simulated Green's functions, are explained
Error of the network approximation for densely packed composites with irregular geometry
Novikov, Alexei
properties such as the effective conductivity or the effective dielectric constant of composite materials the concentration of the filling inclusions is high is particularly relevant to polymer/ceramic composites, becauseError of the network approximation for densely packed composites with irregular geometry Leonid
On the Construction of Initial Basis Function for Efficient Value Function Approximation
Lin, Jason Yi-Bing
) are a general framework for planning and learning under uncertainty. On solving problems with large-scale for the learning process [11]. Incremental basis generation aims to provide feature expansion, and both the work the issues of improving the feature generation methods for the value-function approximation and the state
Approximation of Coupled Stokes-Darcy Flow in an Axisymmetric V.J. Ervin
Ervin, Vincent J.
we investigate the numerical approximation of coupled Stokes and Darcy fluid flow equations are also given for a model of fluid flow in the eye. Key words. axisymmetric flow; Stokes equation, Darcy equation) in the Darcy domain. Other researchers who have used this approach include [30, 21, 11, 9
DARCY'S FLOW WITH PRESCRIBED CONTACT ANGLE WELL-POSEDNESS AND LUBRICATION APPROXIMATION
DARCY'S FLOW WITH PRESCRIBED CONTACT ANGLE Â WELL-POSEDNESS AND LUBRICATION APPROXIMATION HANS KN on a solid sub- strate. We use a model for viscous fluids where evolution is governed by Darcy's Law converge to the solutions of a one-dimensional degenerate parabolic fourth order equation which belongs
A Fast Approximation of the Bilateral Filter using a Signal Processing Approach
Reif, Rafael
A Fast Approximation of the Bilateral Filter using a Signal Processing Approach Sylvain Paris Fr of such accelerations. In this paper, we propose a new signal-processing analysis of the bilateral filter which to the original domain dimensions. Importantly, this signal-processing perspective allows us to develop a novel
APPROXIMATELY OPTIMAL ASSIGNMENT FOR UNEQUAL LOSS Alexander E. Mohr, Richard E. Ladner
Mohr, Alexander E.
APPROXIMATELY OPTIMAL ASSIGNMENT FOR UNEQUAL LOSS PROTECTION Alexander E. Mohr, Richard E. Ladner error correction to progressive data within the unequal loss protection frame- work [1]. It first finds constraints to find an assignment that approx- imates the global optimum. The algorithm has a running time
Weber, J. W.; Bol, A. A. [Department of Applied Physics, Eindhoven University of Technology, Den Dolech 2, P.O. Box 513, 5600 MB Eindhoven (Netherlands); Sanden, M. C. M. van de [Department of Applied Physics, Eindhoven University of Technology, Den Dolech 2, P.O. Box 513, 5600 MB Eindhoven (Netherlands); Dutch Institute for Fundamental Energy Research (DIFFER), Nieuwegein (Netherlands)
2014-07-07T23:59:59.000Z
This work presents an improved thin film approximation to extract the optical conductivity from infrared transmittance in a simple yet accurate way. This approximation takes into account the incoherent reflections from the backside of the substrate. These reflections are shown to have a significant effect on the extracted optical conductivity and hence on derived parameters as carrier mobility and density. By excluding the backside reflections, the error for these parameters for typical chemical vapor deposited (CVD) graphene on a silicon substrate can be as high as 17% and 45% for the carrier mobility and density, respectively. For the mid- and near-infrared, the approximation can be simplified such that the real part of the optical conductivity is extracted without the need for a parameterization of the optical conductivity. This direct extraction is shown for Fourier transform infrared (FTIR) transmittance measurements of CVD graphene on silicon in the photon energy range of 370–7000?cm{sup ?1}. From the real part of the optical conductivity, the carrier density, mobility, and number of graphene layers are determined but also residue, originating from the graphene transfer, is detected. FTIR transmittance analyzed with the improved thin film approximation is shown to be a non-invasive, easy, and accurate measurement and analysis method for assessing the quality of graphene and can be used for other 2-D materials.
Approximation of Subnetwork Models using Frequency-Domain Data Henrik Sandberg and Richard M. Murray
Murray, Richard M.
for decentralized control design. The suggested approach is based on approximation of so-called subnetwork models. Applications for this research are, for example, automated highway systems, vehicle formation control, power systems, sensor/actuator networks, and cross-directional control in paper machines. In an interconnected
Level-Set Variational Implicit-Solvent Modeling of Biomolecules with the Coulomb-Field Approximation
Li, Bo
(2006) and J. Chem. Phys., 124, 084905 (2006))] of molecular sol- vation is a mean-field free-energy of the electrostatic free energy. Such an approximation is a volume integral over an arbitrary shaped solvent region approach by calculating solvation free energies and potentials of mean force for small and large molecules
The Proof: and The approximate and of crude circuits CC(X) and
Lyuu, Yuh-Dauh
The Proof: and · The approximate and of crude circuits CC(X) and CC(Y) is CC(pluck({Xi Yj : Xi X that the resulting crude circuit has "a lot" of false positives or false negatives. c 2008 Prof. Yuh-Dauh Lyuu, National Taiwan University Page 718 #12;The Final Crude Circuit Lemma 93 Every final crude circuit either
Vision Research 40 (2000) 16951709 Texture luminance judgments are approximately veridical
California at Irvine, University of
2000-01-01T23:59:59.000Z
Vision Research 40 (2000) 16951709 Texture luminance judgments are approximately veridical Jong. Specifically, we address the following question: how do different luminances influence the perceived total luminance of a composite image? We investigate this question using a paradigm in which the observer attempts
Approximation Methods for Pricing Problems under the Nested Logit Model with Price Bounds
Rusmevichientong, Paat
Approximation Methods for Pricing Problems under the Nested Logit Model with Price Bounds W@orie.cornell.edu September 5, 2013 Abstract We consider two variants of a pricing problem under the nested logit model. In the first variant, the set of products offered to customers is fixed and we want to determine the prices
Approximate Response Time for Fixed Priority Real-Time Systems with Energy-Harvesting
Boyer, Edmond
Approximate Response Time for Fixed Priority Real-Time Systems with Energy-Harvesting Yasmina sufficient schedulability tests for fixed-priority pre-emptive scheduling of a real-time system under energy constraints. In this problem, energy is harvested from the ambient environment and used to replenish a storage
Fiat, Amos
Approximate Pure Nash Equilibria in Weighted Congestion Games: Existence, Efficient Computation and algorithmic questions related to the Nash dynamics of weighted congestion games. In weighted congestion games with linear latency functions, the existence of pure Nash equilibria is guaranteed by potential function
Approximation-Tolerant Model-Based Compressive Sensing Chinmay Hegde, Piotr Indyk, Ludwig Schmidt
Approximation-Tolerant Model-Based Compressive Sensing Chinmay Hegde, Piotr Indyk, Ludwig Schmidt the measurement process. Standard results in compressive sensing show that it is possible to recover the signal x compressive sensing [BCDH10] overcomes the lower bound and reduces the number of measurements further to O
Gregor Tanner; Niels Sondergaard
2006-08-17T23:59:59.000Z
We derive a short wave length approximation of a boundary integral operator for two-dimensional isotropic and homogeneous elastic bodies of arbitrary shape. Trace formulae for elastodynamics can be deduced in this way from first principles starting directly from Navier-Cauchy's equation.
or structure--and they generate approximately 15 percent of all green- house gas emissions.2 Excluding staffing management and greenhouse gas emissions. Automated operations management: IBM solutions provide automated
Dunne, Gerald V.; Min, Hyunsoo [Department of Physics, University of Connecticut, Storrs, Connecticut 06269 (United States); Department of Physics, University of Seoul, Seoul 130-743 (Korea, Republic of)
2005-12-15T23:59:59.000Z
We present a general numerical method for computing precisely the false vacuum decay rate, including the prefactor due to quantum fluctuations about the classical bounce solution, in a self-interacting scalar field theory modeling the process of nucleation in four-dimensional space-time. This technique does not rely on the thin-wall approximation. The method is based on the Gelfand-Yaglom approach to determinants of differential operators, suitably extended to higher dimensions using angular momentum cutoff regularization. A related approach has been discussed recently by Baacke and Lavrelashvili, but we implement the regularization and renormalization in a different manner, and compare directly with analytic computations made in the thin-wall approximation. We also derive a simple new formula for the zero mode contribution to the fluctuation prefactor, expressed entirely in terms of the asymptotic behavior of the classical bounce solution.