skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The Roles of Sparse Direct Methods in Large-scale Simulations

Abstract

Sparse systems of linear equations and eigen-equations arise at the heart of many large-scale, vital simulations in DOE. Examples include the Accelerator Science and Technology SciDAC (Omega3P code, electromagnetic problem), the Center for Extended Magnetohydrodynamic Modeling SciDAC(NIMROD and M3D-C1 codes, fusion plasma simulation). The Terascale Optimal PDE Simulations (TOPS)is providing high-performance sparse direct solvers, which have had significant impacts on these applications. Over the past several years, we have been working closely with the other SciDAC teams to solve their large, sparse matrix problems arising from discretization of the partial differential equations. Most of these systems are very ill-conditioned, resulting in extremely poor convergence deployed our direct methods techniques in these applications, which achieved significant scientific results as well as performance gains. These successes were made possible through the SciDAC model of computer scientists and application scientists working together to take full advantage of terascale computing systems and new algorithms research.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director. Office of Science. Advanced Scientific Computing Research
OSTI Identifier:
843015
Report Number(s):
LBNL-58654
R&D Project: KS1210; TRN: US0503778
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Conference
Resource Relation:
Conference: SciDAC 2005, San Francisco, CA, June 26-30, 2005
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ACCELERATORS; ALGORITHMS; COMPUTERS; CONVERGENCE; MAGNETOHYDRODYNAMICS; PARTIAL DIFFERENTIAL EQUATIONS; PERFORMANCE; PLASMA; SIMULATION; computer simulations sparse direct methods SciDAC

Citation Formats

Li, Xiaoye S., Gao, Weiguo, Husbands, Parry J.R., Yang, Chao, and Ng, Esmond G. The Roles of Sparse Direct Methods in Large-scale Simulations. United States: N. p., 2005. Web.
Li, Xiaoye S., Gao, Weiguo, Husbands, Parry J.R., Yang, Chao, & Ng, Esmond G. The Roles of Sparse Direct Methods in Large-scale Simulations. United States.
Li, Xiaoye S., Gao, Weiguo, Husbands, Parry J.R., Yang, Chao, and Ng, Esmond G. Mon . "The Roles of Sparse Direct Methods in Large-scale Simulations". United States. https://www.osti.gov/servlets/purl/843015.
@article{osti_843015,
title = {The Roles of Sparse Direct Methods in Large-scale Simulations},
author = {Li, Xiaoye S. and Gao, Weiguo and Husbands, Parry J.R. and Yang, Chao and Ng, Esmond G.},
abstractNote = {Sparse systems of linear equations and eigen-equations arise at the heart of many large-scale, vital simulations in DOE. Examples include the Accelerator Science and Technology SciDAC (Omega3P code, electromagnetic problem), the Center for Extended Magnetohydrodynamic Modeling SciDAC(NIMROD and M3D-C1 codes, fusion plasma simulation). The Terascale Optimal PDE Simulations (TOPS)is providing high-performance sparse direct solvers, which have had significant impacts on these applications. Over the past several years, we have been working closely with the other SciDAC teams to solve their large, sparse matrix problems arising from discretization of the partial differential equations. Most of these systems are very ill-conditioned, resulting in extremely poor convergence deployed our direct methods techniques in these applications, which achieved significant scientific results as well as performance gains. These successes were made possible through the SciDAC model of computer scientists and application scientists working together to take full advantage of terascale computing systems and new algorithms research.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2005},
month = {6}
}

Conference:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share: