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The Computer Journal 1968 11(3):324-328; doi:10.1093/comjnl/11.3.324
© 1968 by British Computer Society
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On a generalised alternating direction implicit method for solving Laplace's equation

A. Hadjidimos *

Department of Computational and Statistical Science, The University, Liverpool, UK

This paper describes a generalized A.D.I. scheme involving an extra parameter which is equivalent to Guittet's scheme for solving Laplace's equation over an m-dimensional supercube. In addition the ‘model problem’ in the 3-dimensional case is treated but the method using the alternative generalisation is applied with the parameter sequence of Douglas, unlike Guittet's which has a fixed parameter.

First received February 1968. revised form May 1968.

* Department of Computational and Statistical Science, The University, Liverpool, 3.


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