| Title:
|
Some fast finite-difference solvers for Dirichlet problems on special domains (English) |
| Author:
|
Dinh, Ta Van |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
27 |
| Issue:
|
3 |
| Year:
|
1982 |
| Pages:
|
161-166 |
| 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 usual five-point difference scheme for Dirichlet problems for the linear and semilinear elliptic PDE 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:
|
multi-parameter asymptotic error expansion |
| Keyword:
|
five-point difference scheme |
| Keyword:
|
Dirichlet problems |
| Keyword:
|
Richardson extrapolation |
| Keyword:
|
accelerating the convergence |
| Keyword:
|
numerical example |
| MSC:
|
35J25 |
| MSC:
|
65N15 |
| MSC:
|
65N20 |
| MSC:
|
65N22 |
| idZBL:
|
Zbl 0485.65070 |
| idMR:
|
MR0657999 |
| DOI:
|
10.21136/AM.1982.103959 |
| . |
| Date available:
|
2008-05-20T18:19:04Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103959 |
| . |
| Reference:
|
[1] O. V. Widlund: Some recent applications of asymptotic error expansions to finite difference schemes.Proc. Royal Soc. London, A 323, N. 1553 (1971), 167-177. Zbl 0221.65005, MR 0495006 |
| . |
