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SIAMSC
2011
113views more  SIAMSC 2011»
13 years 2 months ago
An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
In order to compute polarization energy of biomolecules, we describe a boundary element approach to solving the linearized Poisson–Boltzmann equation. Our approach combines sever...
Chandrajit L. Bajaj, Shun-Chuan Albert Chen, Alexa...
ANOR
2005
89views more  ANOR 2005»
13 years 7 months ago
Logic-Based Modeling and Solution of Nonlinear Discrete/Continuous Optimization Problems
This paper presents a review of advances in the mathematical programming approach to discrete/continuous optimization problems. We first present a brief review of MILP and MINLP f...
Sangbum Lee, Ignacio E. Grossmann
IPPS
2007
IEEE
14 years 1 months ago
Speedup using Flowpaths for a Finite Difference Solution of a 3D Parabolic PDE
Partial differential equations (PDEs) are used to model physical phenomena and then appropriate convergent numerical algorithms are employed to solve them and create computer simu...
Darrin M. Hanna, Anna M. Spagnuolo, Michael DuChen...
JSCIC
2007
90views more  JSCIC 2007»
13 years 7 months ago
Convex ENO Schemes for Hamilton-Jacobi Equations
In one dimension, viscosity solutions of Hamilton-Jacobi (HJ) equations can be thought as primitives of entropy solutions for conservation laws. Based on this idea, both theoretica...
Chi-Tien Lin, Xu-Dong Liu
IPPS
1998
IEEE
13 years 11 months ago
High Performance Linear Algebra Package LAPACK90
Abstract. LAPACK90 is a set of LAPACK90 subroutines which interfaces FORTRAN90 with LAPACK. All LAPACK driver subroutines including expert drivers and some LAPACK computationals ha...
Jack Dongarra, Jerzy Wasniewski