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On cyclic reduction and finite difference schemes


Citation

Zhang, Jun and Kouatchou, Jules and Othman, Mohamed (2002) On cyclic reduction and finite difference schemes. Journal of Computational and Applied Mathematics, 145 (1). pp. 213-222. ISSN 0377-0427

Abstract

We investigate a family of finite difference schemes for discretizing the two dimensional Poisson equation on both the standard and the reduced grids. We study the relation between the cyclic reduction method and the discretization schemes on different grids. The spectral radii of the Jacobi iteration matrices, and the truncation errors of different discretization schemes are compared analytically and numerically.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Computer Science and Information Technology
DOI Number: https://doi.org/10.1016/s0377-0427(01)00576-3
Publisher: Elsevier
Keywords: Cyclic reduction; Discretization schemes; Finite difference
Depositing User: Mr. Mohamad Syahrul Nizam Md Ishak
Date Deposited: 08 Dec 2024 08:05
Last Modified: 08 Dec 2024 08:05
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/s0377-0427(01)00576-3
URI: http://psasir.upm.edu.my/id/eprint/114033
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