| Title:
|
Some fast finite-difference solvers for two-dimensional evolutionary equations on special domains (English) |
| Author:
|
Dinh, Ta Van |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
27 |
| Issue:
|
5 |
| Year:
|
1982 |
| Pages:
|
313-318 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
The author proves the existence of the asymptotic error expansion to the Peaceman-Rachford finite-difference scheme for the first boundary value problem of the two-dimensional evolationary equation on the so-called uniform and nearly uniform domains. This expansion leads, by Richardson extrapolation, to a simple process for accelerating the convergence of the method. A numerical example is given. (English) |
| Keyword:
|
asymptotic error expansion |
| Keyword:
|
Peaceman-Rachford |
| Keyword:
|
Richardson extrapolation |
| Keyword:
|
accelerating the convergence |
| Keyword:
|
numerical example |
| MSC:
|
35G10 |
| MSC:
|
35K25 |
| MSC:
|
65M15 |
| MSC:
|
65N12 |
| MSC:
|
65N15 |
| idZBL:
|
Zbl 0502.65063 |
| idMR:
|
MR0674977 |
| DOI:
|
10.21136/AM.1982.103978 |
| . |
| Date available:
|
2008-05-20T18:19:56Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103978 |
| . |
| Reference:
|
[1] O. B. Widlund: Some recent applications of asymptotic error expansions to finite difference schemes.Proc. Roy. Soc. London, A 323, N. 1553, 1971, 167-177. Zbl 0221.65005, MR 0495006 |
| . |
