On cyclic reduction and finite difference schemes
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 iterati...
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Elsevier
2002
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my.upm.eprints.1140332024-12-08T08:05:45Z http://psasir.upm.edu.my/id/eprint/114033/ On cyclic reduction and finite difference schemes Zhang, Jun Kouatchou, Jules Othman, Mohamed 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. Elsevier 2002 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/114033/1/114033.pdf 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 https://linkinghub.elsevier.com/retrieve/pii/S0377042701005763 10.1016/s0377-0427(01)00576-3 |
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| description |
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. |
| format |
Article |
| author |
Zhang, Jun Kouatchou, Jules Othman, Mohamed |
| spellingShingle |
Zhang, Jun Kouatchou, Jules Othman, Mohamed On cyclic reduction and finite difference schemes |
| author_facet |
Zhang, Jun Kouatchou, Jules Othman, Mohamed |
| author_sort |
Zhang, Jun |
| title |
On cyclic reduction and finite difference schemes |
| title_short |
On cyclic reduction and finite difference schemes |
| title_full |
On cyclic reduction and finite difference schemes |
| title_fullStr |
On cyclic reduction and finite difference schemes |
| title_full_unstemmed |
On cyclic reduction and finite difference schemes |
| title_sort |
on cyclic reduction and finite difference schemes |
| publisher |
Elsevier |
| publishDate |
2002 |
| url |
http://psasir.upm.edu.my/id/eprint/114033/1/114033.pdf http://psasir.upm.edu.my/id/eprint/114033/ https://linkinghub.elsevier.com/retrieve/pii/S0377042701005763 |
| _version_ |
1818835914492739584 |
| score |
13.23648 |