| Title:
|
Some fast finite-difference solvers for Dirichlet problems on general domains (English) |
| Author:
|
Dinh, Ta Van |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
27 |
| Issue:
|
4 |
| Year:
|
1982 |
| Pages:
|
237-242 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
The author proves the existence of the multi-parameter asymptotic error expansion to the five-point difference scheme for Dirichlet problems for the linear and semilinear elliptic PDE on general domains. By Richardson extrapolation, this expansion leads to a simple process for accelerating the convergence of the method. (English) |
| Keyword:
|
multi-parameter asymptotic error expansion |
| Keyword:
|
Richardson extrapolations |
| Keyword:
|
Dirichlet problem |
| Keyword:
|
deferred corrections |
| Keyword:
|
improving the accuracy |
| MSC:
|
35J25 |
| MSC:
|
65B05 |
| MSC:
|
65N10 |
| MSC:
|
65N12 |
| MSC:
|
65N15 |
| idZBL:
|
Zbl 0494.65057 |
| idMR:
|
MR0666902 |
| DOI:
|
10.21136/AM.1982.103968 |
| . |
| Date available:
|
2008-05-20T18:19:29Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103968 |
| . |
| Reference:
|
[1] V. Pereyra W. Proskurowski O. Widlund: High order fast Laplace solvers for Dirichlet problem on general domains.Math. Соmр. 31, 137 (1977), 1 - 17. MR 0431736 |
| . |
