Title:
|
Parallel method for initial value problems for linear ordinary differential equations: speed up estimation (English) |
Author:
|
Pavluš, Miron |
Author:
|
Podlubny, Igor |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
33 |
Issue:
|
3 |
Year:
|
1997 |
Pages:
|
279-290 |
. |
Category:
|
math |
. |
MSC:
|
34A34 |
MSC:
|
34A45 |
MSC:
|
65L05 |
MSC:
|
65Y05 |
idZBL:
|
Zbl 0916.65077 |
idMR:
|
MR1463610 |
. |
Date available:
|
2009-09-24T19:09:15Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124713 |
. |
Reference:
|
[1] W. L. Miranker, W. Liniger: Parallel methods for the numerical integration of ordinary differential equations.Math. Com. 21 (1967), 99, 303-320. Zbl 0155.47204, MR 0223106 |
Reference:
|
[2] J. Nievergelt: Parallel methods for integrating ordinary differential equations.Comm. ACM 7 (1964), 12, 731-733. Zbl 0134.32804, MR 0176617 |
Reference:
|
[3] I. Podlubny: Parallel algorithms for initial and boundary value problems for linear ordinary differential equations and their systems.Kybernetika 32 (1996), 3, 251-260. Zbl 0876.65049, MR 1438218 |
Reference:
|
[4] I. Podlubny M. Pavluš, P. Purcz: Parallel solution of initial value problems for linear ordinary differential equations.In: Proceedings of International Workshop Parallel Numerics 95, Sorrento 1995, pp. 171-182 |
Reference:
|
[5] P. Purcz: The speed up of a parallel algorithm for a Cauchy problem and for various known numerical methods.In: Proceedings of the International Workshop Parallel Numerics'96, Gozd Matuljek 1996, pp. 137-179. |
Reference:
|
[6] Cs. Török: On the parallel algorithms of initial value problems for systems of linear ordinary differential equations.In: Proceedings of the 113th Panonian Applied Mathematical Meeting, Bardejovske Kupele 1995, pp. 231-237. |
Reference:
|
[7] P. B. Worland: Parallel methods for the numerical solution of ordinary differential equations.IEEE Trans. Comput. 25 (1976), 1045-1048. Zbl 0359.65063, MR 0474836 |
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