| Title:
|
On multi-parameter error expansions in finite difference methods for linear Dirichlet problems (English) |
| Author:
|
Dinh, Ta Van |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1987 |
| Pages:
|
16-24 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is concerned with the finite difference approximation of the Dirichlet problem for a second order elliptic partial differential equation in an $n$-dimensional domain. Considering the simplest finite difference scheme and assuming a sufficient smoothness of the domain, coefficients of the equation, right-hand part, and boundary condition, the author develops a general error expansion formula in which the mesh sizes of an ($n$-dimensional) rectangular grid in the directions of the individual axes appear as parameters. (English) |
| Keyword:
|
error expansion |
| Keyword:
|
Dirichlet problem |
| Keyword:
|
selfadjoint |
| Keyword:
|
central difference scheme |
| Keyword:
|
finite difference method |
| MSC:
|
35J25 |
| MSC:
|
65N06 |
| MSC:
|
65N15 |
| idZBL:
|
Zbl 0629.65109 |
| idMR:
|
MR0879326 |
| DOI:
|
10.21136/AM.1987.104232 |
| . |
| Date available:
|
2008-05-20T18:31:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104232 |
| . |
| Reference:
|
[1] Г. И. Марчук В. В. Шайдуров: Повышение точности решений разностных схем.Москва, Наука, 1979. Zbl 1225.01075 |
| Reference:
|
[2] О. А. Ладыженская H. H. Уралъцева: Линейные и квазилинейные уравнения эллиптического типа.Москва, Наука, 1973. Zbl 1221.53041 |
| . |
