Published January 1965
| Published
Journal Article
Open
The Solution of Elliptic Difference Equations by Semi-Explicit Iterative Techniques
- Creators
- Gunn, James E.
Chicago
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Abstract
In [8], the author discusses an iterative scheme for solving a difference analogue for the elliptic differential equation ∇•α∇u = f on two-dimensional rectangular regions with Dirichlet boundary conditions. It is shown there that a semi-explicit technique involving the inversion only of the Peaceman-Rachford [10] alternating-direction operators for the Laplacian gives convergence in O(h^(-2) log h^(-1)) operations.
Additional Information
© 1965 Society for Industrial and Applied Mathematics. Received by the editors January 6, 1964, and in revised form August 24, 1964. Published online: 03 August 2006. The author wishes to express thanks to D. N. Turner, who prepared the experimental programs and conducted most of the experiments.Attached Files
Published - GUNjsiamna64.pdf
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Additional details
- Eprint ID
- 34381
- Resolver ID
- CaltechAUTHORS:20120926-074835498
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2012-09-26Created from EPrint's datestamp field
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2021-11-09Created from EPrint's last_modified field