| Presentation | 1999/3/17 On the accuracy of finite difference solutions for Dirichlet problems Tetsuro Yamamoto, Nami Matsunaga, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is shown that the Shortley-Weller (S-W) five point finite difference formula is applicable to Dirichlet problems in any shaped domain, for example, a domain obtained by removing some small disks from a disk and gives sharp results. In fact, the S-W formula with the mesh size h has the O(h^3) accuracy at every grid point near the boundary even if the truncation error is O(h). |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Dirichlet problem / finite difference method / Shortley-Weller's formula / error estimates |
| Paper # | NLP98-119 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1999/3/17(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the accuracy of finite difference solutions for Dirichlet problems |
| Sub Title (in English) | |
| Keyword(1) | Dirichlet problem |
| Keyword(2) | finite difference method |
| Keyword(3) | Shortley-Weller's formula |
| Keyword(4) | error estimates |
| 1st Author's Name | Tetsuro Yamamoto |
| 1st Author's Affiliation | Faculty of Science, Ehime University() |
| 2nd Author's Name | Nami Matsunaga |
| 2nd Author's Affiliation | Graduate School of Science and Engineering, Doctor Course Ehime University |
| Date | 1999/3/17 |
| Paper # | NLP98-119 |
| Volume (vol) | vol.98 |
| Number (no) | 662 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |