Bao, Weizhu - Center for Computational Science and Engineering & Department of Mathematics, National University of Singapore

• The random projection method for a model problem of combustion with stiff chemical
• Available at An lntamaticnal Journal www.ElsevierMat hematics.com
• High-order I-stable centered difference schemes for viscous compressible flows
• COMMUNICATIONS IN COMPUTATIONAL PHYSICS Vol. 4, No. 1, pp. 135-160
• Numer. Math. (1997) 77: 347363 c Springer-Verlag 1997
• Symmetry breaking and self-trapping of a dipolar Bose-Einstein condensate in a double-well potential
• A FOURTH-ORDER TIME-SPLITTING LAGUERRE-HERMITE PSEUDO-SPECTRAL METHOD
• Dynamical self-trapping of Bose-Einstein condensates in shallow optical lattices Matthias Rosenkranz
• NUMERICAL STUDY OF TIME-SPLITTING SPECTRAL DISCRETIZATIONS OF NONLINEAR SCHRODINGER EQUATIONS
• COMM. MATH. SCI. c 2003 International Press Vol. 1, No. 4, pp. 809828
• Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement
• This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
• ELSEVIER Physica D 108 (1997) 397--407 Vortexpinning by inhomogeneities in type-II superconductors
• COMM. MATH. SCI. c 2005 International Press Vol. 3, No. 1, pp. 5788
• Numerical methods for the generalized Zakharov system Weizhu Bao a,*, Fangfang Sun a
• An economical finite element approximation of generalized Newtonian flows
• Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. SCI. COMPUT. c 2008 Society for Industrial and Applied Mathematics
• COMPUTING THE GROUND STATE SOLUTION OF BOSEEINSTEIN CONDENSATES BY A
• Digital Object Identifier (DOI) 10.1007/s002110100387 Numer. Math. (2003) 93: 415444
• ERROR ESTIMATES FOR THE FINITE ELEMENT APPROXIMATION OF PROBLEMS IN UNBOUNDED DOMAINS
• High-order local articial boundary conditions for problems in unbounded domains q
• Noname manuscript No. (will be inserted by the editor)
• MULTISCALE MODEL. SIMUL. c 2010 Society for Industrial and Applied Mathematics Vol. 8, No. 5, pp. 17421769
• PHYSICAL REVIEW A 82, 043623 (2010) Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions
• East Asian Journal of Applied Mathematics Vol. 1, No. 1, pp. 49-81 doi: 10.4208/eajam.190310.170510a February 2011
• This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
• This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
• Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. SCI. COMPUT. c 2009 Society for Industrial and Applied Mathematics
• Numerical methods for computing the ground state of spin-1 Bose-Einstein condensates in a uniform magnetic field
• A generalized-LaguerreHermite pseudospectral method for computing symmetric and central vortex states in BoseEinstein condensates
• Physica D 237 (2008) 23912410 www.elsevier.com/locate/physd
• Self-trapping of Bose-Einstein condensates expanding into shallow optical lattices Matthias Rosenkranz* and Dieter Jaksch
• Computer Physics Communications 177 (2007) 832850 www.elsevier.com/locate/cpc
• Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. NUMER. ANAL. c 2007 Society for Industrial and Applied Mathematics
• Euro. Jnl of Applied Mathematics (2007), vol. 18, pp. 607630. c 2007 Cambridge University Press doi:10.1017/S0956792507007140 Printed in the United Kingdom
• Bulletin of the Institute of Mathematics Academia Sinica (New Series)
• COMMUNICATIONS IN COMPUTATIONAL PHYSICS Vol. 2, No. 1, pp. 123-140
• Efficient and spectrally accurate numerical methods for computing ground and first excited states in
• An efficient and spectrally accurate numerical method for computing dynamics of rotating BoseEinstein condensates
• SIAM J. SCI. COMPUT. c 2005 Society for Industrial and Applied Mathematics Vol. 26, No. 6, pp. 20102028
• Continuous configuration time-dependent self-consistent field method for polyatomic quantum dynamical problems
• An efficient and stable numerical method for the MaxwellDirac system
• GROUND STATES AND DYNAMICS OF MULTICOMPONENT BOSEEINSTEIN CONDENSATES
• INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS B: ATOMIC, MOLECULAR AND OPTICAL PHYSICS J. Phys. B: At. Mol. Opt. Phys. 37 (2004) 329343 PII: S0953-4075(04)66158-X
• IMA Journal of Numerical Analysis (2003) 23, 125147 Error bounds for the finite-element approximation of the
• Applied Numerical Mathematics 43 (2002) 315333 www.elsevier.com/locate/apnum
• Journal of Computational Physics 175, 487524 (2002) doi:10.1006/jcph.2001.6956, available online at http://www.idealibrary.com on
• THE RANDOM PROJECTION METHOD FOR STIFF DETONATION WEIZHU BAO AND SHI JIN
• Numerical simulations of fracture problems by coupling the FEM and the direct method of lines
• Journal of Computational Physics 163, 216248 (2000) doi:10.1006/jcph.2000.6572, available online at http://www.idealibrary.com on
• Articial boundary conditions for incompressible NavierStokes equations: A well-posed result q
• The articial boundary conditions for computing the ow around a submerged body
• The discrete articial boundary condition on a polygonal articial boundary for the exterior problem of Poisson
• JOURNAL OF COMPUTATIONAL PHYSICS 126, 5263 (1996) ARTICLE NO. 0119
• April 19, 2007 Master Review Vol. 9in x 6in (for Lecture Note Series, IMS, NUS) mrv-main The Nonlinear Schrodinger Equation and Applications in
• Ground states and dynamics of rotating Bose-Einstein condensates
• Modelling and numerical methods in quantum kinetic theory
• Modelling, Algorithms and Simulation for Wave Motion in Quantum and Plasma Physics
• A time-splitting spectral method for three-wave interactions in media with competing quadratic
• April 8, 2005 9:36 WSPC/INSTRUCTION FILE formalredRef Mathematical Models and Methods in Applied Sciences
• EFFICIENT AND STABLE NUMERICAL METHODS FOR THE GENERALIZED AND VECTOR ZAKHAROV SYSTEM
• Bulletin of the Institute of Mathematics Academia Sinica (New Series)
• Analytical solutions for the center of mass and a leap-frog pseudospectral approximation for
• MATHEMATICAL ANALYSIS AND NUMERICAL SIMULATION OF
• NUMERICAL STUDIES OF THE KLEIN-GORDON-SCHRODINGER
• NUMERICAL STUDIES ON THE ZAKHAROV SYSTEM
• MA5232 Homework and Project 2 (Due date: 6:00pm Monday 14 March 2011)
• QUANTIZED VORTEX STATES AND DYNAMICS IN
• Physica D 234 (2007) 4969 www.elsevier.com/locate/physd
• Contemporary Mathematics Analysis and Efficient Computation for the Dynamics of
• MATHEMATICS OF COMPUTATION Volume 70, Number 236, Pages 14371459
• Efficient and accurate numerical methods for the KleinGordonSchrodinger equations
• METHODS AND APPLICATIONS OF ANALYSIS. c 2004 International Press Vol. 11, No. 3, pp. 001022, September 2004 006
• Ground-state solution of BoseEinstein condensate by directly minimizing the energy functional
• Applied Numerical Mathematics 57 (2007) 697709 www.elsevier.com/locate/apnum
• THE DYNAMICS AND INTERACTION OF QUANTIZED VORTICES IN GINZBURG-LANDAU-SCHRODINGER EQUATION
• Journal of Computational Physics 178, 3757 (2002) doi:10.1006/jcph.2002.7016, available online at http://www.idealibrary.com on
• Mathematical Analysis and Numerical Simulation for Bose-Einstein Condensates
• METHODS AND APPLICATIONS OF ANALYSIS. c 2010 International Press Vol. 17, No. 1, pp. 049080, March 2010 002
• Numerical solution of the GrossPitaevskii equation for BoseEinstein condensation
• January 18, 2005 13:28 WSPC/INSTRUCTION FILE p0203 DYNAMICS OF THE GROUND STATE AND CENTRAL VORTEX
• Quantized Vortex Stability and Dynamics in Superfluidity and Superconductivity
• INTERNATIONAL JOLJRNALFOR NUMERICAL METHODS INFLUIDS,VOL.22,483-493 (1996) AN ARTIFICIAL BOUNDARY CONDITION FOR
• Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
• DIMENSION REDUCTION OF THE GROSS-PITAEVSKII EQUATION FOR
• SIAM J. APPL. MATH. c 2006 Society for Industrial and Applied Mathematics Vol. 66, No. 3, pp. 758786
• A uniformly convergent numerical method for singularly perturbed nonlinear eigenvalue problems
• Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. APPL. MATH. c 2007 Society for Industrial and Applied Mathematics
• Weakly compressible high-order I-stable central dierence schemes for incompressible viscous ows q
• Dynamics of vortices in weakly interacting Bose-Einstein condensates Alexander Klein and Dieter Jaksch
• ANALYTICAL AND NUMERICAL STUDIES OF BOSE-EINSTEIN CONDENSATES
• THE DYNAMICS AND INTERACTION OF QUANTIZED VORTICES IN GINZBURG-LANDAU-SCHRODINGER EQUATION
• Analysis and Computation for Coupling Bose-Einstein Condensates in Optical Resonators
• Efficiently computing vortex lattices in fast rotating Bose-Einstein condensates Yanzhi Zhang1,2
• A UNIFORMLY CONVERGENT NUMERICAL SCHEME FOR SINGULARLY PERTURBED
• EFFICIENT AND STABLE NUMERICAL METHODS FOR THE GENERALIZED AND VECTOR ZAKHAROV SYSTEM
• AN EXPLICIT UNCONDITIONALLY STABLE NUMERICAL METHOD FOR SOLVING DAMPED NONLINEAR SCHRODINGER
• EFFICIENT AND STABLE NUMERICAL METHODS FOR THE GENERALIZED AND VECTOR ZAKHAROV SYSTEM
• EPL, 82 (2008) 30004 www.epljournal.org doi: 10.1209/0295-5075/82/30004
• The Nonlinear Schrodinger Equation, Superfluidity and Quantum Hydrodynamics
• Scattering and bound states in two-dimensional anisotropic potentials Matthias Rosenkranz and Weizhu Bao
• Gross-Pitaevskii-Poisson equations for dipolar Bose-Einstein condensate with anisotropic confinement
• P r e f e r r e d P u b l i s h e r f o r L e a d i n g T h i n k e r s C o n n e c t i n g G r e a t M i n d s
• Breathing oscillations of a trapped impurity in a Bose gas T. H. Johnson1
• Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates Matthias Rosenkranz, Yongyong Cai, and Weizhu Bao
• On the Web at http://AIMSciences.org KINETIC AND RELATED MODELS
• AN EXPONENTIAL WAVE INTEGRATOR PSEUDOSPECTRAL METHOD FOR THE KLEIN-GORDON-ZAKHAROV SYSTEM
• Numerical study of quantized vortex interaction in Ginzburg-Landau equation on bounded domains
• UNIFORM AND OPTIMAL ERROR ESTIMATES OF AN EXPONENTIAL WAVE INTEGRATOR SINE PSEUDOSPECTRAL METHOD FOR THE NONLINEAR
• Subdiffusive expansion of a Bose-Einstein condensate in a speckle potential and Tiejun Li
• MATHEMATICAL THEORY AND NUMERICAL METHODS FOR GROSS-PITAEVSKII EQUATIONS