| Title:
|
Aппроксимация обобщенных решений с помощью конечных разностей (Russian) |
| Title:
|
Approximation of generalized solutions by means of finite differences (English) |
| Author:
|
Jovanovič, Boško S. |
| Language:
|
Russian |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
23 |
| Issue:
|
1 |
| Year:
|
1987 |
| Pages:
|
9-14 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35J25 |
| MSC:
|
65N12 |
| idZBL:
|
Zbl 0642.65067 |
| idMR:
|
MR930542 |
| . |
| Date available:
|
2008-06-06T06:16:53Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107272 |
| . |
| Reference:
|
[1] CaмapcкийA.A.: Teopuя paзнocmныx cxeм.Hayкa, Mocквa, 1983. |
| Reference:
|
[2] Лaзapoв P. Д.: K вonpocy o cxoдuмocmu paзнocmныx cxeм для oбoбщeнныx peшeнuй ypaвнeнuя Пyaccoнa.Диффepeнциaльныe ypaвнeния 17 (1981), 1285-1294. |
| Reference:
|
[3] Лaзapoв P. Д., Maкapoв B. Л., Caмapcкий A. A.: Пpuмeнeнue moчныx paзнocmныx cxeм для nocmpoeнuя u uccлeдoвaнuя paзнocmныx cxeм нa oбoбщeнныx peшeнuяx.Maт. Cб. 117 (159) (1982), 469-480. |
| Reference:
|
[4] Lazarov R. D., Makarov V. L., Weinelt W.: On the convergence of difference schemes for the approximation of solutions $u \in W_2^m (m > 0.5)$ of elliptic equations with mixed derivatives.Numeг. Math. 44 (1984), 223-232. MR 0753955 |
| Reference:
|
[5] Йoвaнoвич Б. C.: O cxoдuмocmu дucкpemныx peшeнuй к oбoбщeнным peшeнuям кpaeвыx зaдaч.B кн.: Bapиaциoннo-paзнocтныe мeтoды в мaтeмaтичecкoй физикe (peд. H. C Бaxвaлoв,Ю. A. Кyзнeцoв), OBM AH CCCP, Mocквa, 1984, 120-129. |
| Reference:
|
[6] Süli E., Jovanović B., Ivanović L.: Finite difference approximation of generalized solutions.Math. Comput. 45 (1985), 319-327. MR 0804926 |
| Reference:
|
[7] Adams R. A.: Sobolev spaces.Academic Pгess, New York etc, 1975. Zbl 0314.46030, MR 0450957 |
| Reference:
|
[8] Dupont T., Scott R.: Polynomial approximation of functions in Sobolev spaces.Math. Comput. 34 (1980), 441-463. Zbl 0423.65009, MR 0559195 |
| Reference:
|
[9] Ciaгlet Ph.: The finite element method for elliptic problems.North-Holland, Amsteгdam etc, 1978. MR 0520174 |
| Reference:
|
[10] Bramble J. H., Hilbeгt S. R.: Bounds for a class of linear functionals with applications to Hermite interpolation.Numer. Math. 16 (1971), 362-369. MR 0290524 |
| Reference:
|
[11] Никольский С. М.: Приближение функций многих переменных и теоремы вложения.Наука, Москва, 1969. Zbl 1149.62317 |
| Reference:
|
[12] Дьяконов Е. Г.: Разностные методы решения краевых задач, I.МГУ, Москва, 1971 |
| . |
