Explicit semi-direct methods based on approximate inverse matrix techniques for solving boundary-value problems on parallel processors

Elias A. Lipitakis and David J. Evans

Mathematics and Computers in Simulation (MATCOM), 1987, vol. 29, issue 1, 1-17

Abstract: Generalized approximate inverse matrix techniques and sparse Gauss-Jordan elimination procedures based on the concept of sparse product form of the inverse are introduced for calculating explicitly approximate inverses of large sparse unsymmetric (n × n) matrices. Explicit first and second order semi-direct methods in conjunction with the derived approximate inverse matrix techniques are presented for solving Parabolic and Elliptic difference equations on parallel processors. Application of the new methods on a 2D-model problem is discussed and numerical results are given.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:29:y:1987:i:1:p:1-17

DOI: 10.1016/0378-4754(87)90062-0

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