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

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  • Lipitakis, Elias A.
  • Evans, David J.

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.

Suggested Citation

  • Lipitakis, Elias A. & Evans, David J., 1987. "Explicit semi-direct methods based on approximate inverse matrix techniques for solving boundary-value problems on parallel processors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 29(1), pages 1-17.
    • Handle: RePEc:eee:matcom:v:29:y:1987:i:1:p:1-17
    DOI: 10.1016/0378-4754(87)90062-0
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