Parallel method for initial value problems for linear ordinary differential equations: speed up estimation

Miron Pavluš; Igor Podlubny

Kybernetika (1997)

  • Volume: 33, Issue: 3, page 279-290
  • ISSN: 0023-5954

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Pavluš, Miron, and Podlubny, Igor. "Parallel method for initial value problems for linear ordinary differential equations: speed up estimation." Kybernetika 33.3 (1997): 279-290. <http://eudml.org/doc/27868>.

@article{Pavluš1997,
author = {Pavluš, Miron, Podlubny, Igor},
journal = {Kybernetika},
keywords = {parallel computation; speed up; algorithm; Runge-Kutta method},
language = {eng},
number = {3},
pages = {279-290},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Parallel method for initial value problems for linear ordinary differential equations: speed up estimation},
url = {http://eudml.org/doc/27868},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Pavluš, Miron
AU - Podlubny, Igor
TI - Parallel method for initial value problems for linear ordinary differential equations: speed up estimation
JO - Kybernetika
PY - 1997
PB - Institute of Information Theory and Automation AS CR
VL - 33
IS - 3
SP - 279
EP - 290
LA - eng
KW - parallel computation; speed up; algorithm; Runge-Kutta method
UR - http://eudml.org/doc/27868
ER -

References

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  1. W. L. Miranker, W. Liniger, Parallel methods for the numerical integration of ordinary differential equations, Math. Com. 21 (1967), 99, 303-320. (1967) Zbl0155.47204MR0223106
  2. J. Nievergelt, Parallel methods for integrating ordinary differential equations, Comm. ACM 7 (1964), 12, 731-733. (1964) Zbl0134.32804MR0176617
  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. (1996) Zbl0876.65049MR1438218
  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 (1995) 
  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. (1996) 
  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. (1995) 
  7. P. B. Worland, Parallel methods for the numerical solution of ordinary differential equations, IEEE Trans. Comput. 25 (1976), 1045-1048. (1976) Zbl0359.65063MR0474836

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