Optimum Extrapolated Alternating Direction Implicit Schemes in the Presence of Singular Matrices

1 June 1971

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 7 (3) , 361-366
https://doi.org/10.1093/imamat/7.3.361

Abstract

This paper shows how Extrapolated Alternating Direction Implicit (E.A.D.I.) methods can be used for the numerical solution of Laplace's equation under Neumann boundary conditions. E.A.D.I. methods are applied with the Douglas set of parameters and optimum E.A.D.I. schemes are given.

Keywords

OPTIMUM EXTRAPOLATED
EXTRAPOLATED ALTERNATING
ALTERNATING DIRECTION
IMPLICIT SCHEMES
DIRECTION IMPLICIT
SINGULAR MATRICES

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