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An empirical investigation of methods for nonsymmetric linear systemsThe present investigation is concerned with a comparison of methods for solving linear algebraic systems which arise from finite difference discretizations of the elliptic convection-diffusion equation in a planar region Omega with Dirichlet boundary conditions. Such linear systems are typically of the form Ax = b where A is an N x N sparse nonsymmetric matrix. In a discussion of discretizations, it is assumed that a regular rectilinear mesh of width h has been imposed on Omega. The discretizations considered include central differences, upstream differences, and modified upstream differences. Six methods for solving Ax = b are considered. Three variants of Gaussian elimination have been chosen as representatives of state-of-the-art software for direct methods under different assumptions about pivoting. Three iterative methods are also included.
Document ID
19830032873
Acquisition Source
Legacy CDMS
Document Type
Other - Collected Works
Authors
Sherman, A. H.
(Texas, University Austin, TX, United States)
Date Acquired
August 11, 2013
Publication Date
January 1, 1981
Subject Category
Computer Operations And Hardware
Accession Number
83A14091
Funding Number(s)
CONTRACT_GRANT: NSG-1632
CONTRACT_GRANT: N00014-80-C-0645
Distribution Limits
Public
Copyright
Other

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