On sparse lu factorization procedures for the solution of parabolic differential equations in three space dimensions

The numerical solution of partial differential equations in 3 dimensions by finite difference methods leads to the problem of solving large order sparse structured linear systems. In this paper, a factorization procedure in algorithmic form is derived yielding direct and iterative methods of solutio...

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Veröffentlicht in:International journal of computer mathematics 1979-01, Vol.7 (4), p.315-338
Hauptverfasser: Evans, D.J., Lipitakis, E.A.
Format: Artikel
Sprache:eng
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Zusammenfassung:The numerical solution of partial differential equations in 3 dimensions by finite difference methods leads to the problem of solving large order sparse structured linear systems. In this paper, a factorization procedure in algorithmic form is derived yielding direct and iterative methods of solution of some interesting boundary value problems in physics and engineering.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207167908803184