| Title:
|
Transfer of boundary conditions for Poisson's equation on a circle (English) |
| Author:
|
Taufer, Jiří |
| Author:
|
Vitásek, Emil |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
15-23 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The method of transfer of boundary conditions yields a universal frame into which most methods for solving boundary value problems for ordinary differential equations can be included. The purpose of this paper is to show a possibility to extend the idea of transfer of conditions to a particular twodimensional problem. (English) |
| Keyword:
|
numerical analysis |
| Keyword:
|
transfer of conditions |
| Keyword:
|
invariant imbedding |
| Keyword:
|
Dirichlet problem for Poisson’s equation |
| MSC:
|
34B05 |
| MSC:
|
35J05 |
| MSC:
|
65L10 |
| MSC:
|
65N35 |
| idZBL:
|
Zbl 0797.65087 |
| idMR:
|
MR1254744 |
| DOI:
|
10.21136/AM.1994.134240 |
| . |
| Date available:
|
2009-09-22T17:42:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134240 |
| . |
| Reference:
|
[1] G. H. Meyer: Initial value methods for boundary value problems—Theory and applications of invariant imbedding.Academic Press, New York, 1973. MR 0488791 |
| Reference:
|
[2] J. Taufer: Lösung der Randwertprobleme für Systeme von linearen Differentialgleichungen.Rozpravy ČSAV 5, 83 (1973). Zbl 0276.34009 |
| Reference:
|
[3] P. Přikryl, J. Taufer, E. Vitásek: Transfer of conditions for singular boundary value problems.Apl. mat. 34 (1989), 246–258. MR 0996899 |
| Reference:
|
[4] I. M. Ryzhyk, I. S. Gradshtein: Tables of integrals, sums, series and products.GITTL, Moscow, 1951. (Russian) |
| . |