Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation

Pavol Purcz

Kybernetika (2001)

  • Volume: 37, Issue: 2, page [171]-181
  • ISSN: 0023-5954

Abstract

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A generalization of the spatially one-dimensional parallel pipe-line algorithm for solution of the initial-boundary-value problem using explicit difference method to the two-dimensional case is presented. The suggested algorithm has been verified by implementation on a workstation-cluster running under PVM (Parallel Virtual Machine). Theoretical estimates of the speed-up are presented.

How to cite

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Purcz, Pavol. "Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation." Kybernetika 37.2 (2001): [171]-181. <http://eudml.org/doc/33526>.

@article{Purcz2001,
abstract = {A generalization of the spatially one-dimensional parallel pipe-line algorithm for solution of the initial-boundary-value problem using explicit difference method to the two-dimensional case is presented. The suggested algorithm has been verified by implementation on a workstation-cluster running under PVM (Parallel Virtual Machine). Theoretical estimates of the speed-up are presented.},
author = {Purcz, Pavol},
journal = {Kybernetika},
keywords = {initial-boundary-value problem; parallel virtual machine (PVM); initial-boundary-value problem; parallel virtual machine (PVM)},
language = {eng},
number = {2},
pages = {[171]-181},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation},
url = {http://eudml.org/doc/33526},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Purcz, Pavol
TI - Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 2
SP - [171]
EP - 181
AB - A generalization of the spatially one-dimensional parallel pipe-line algorithm for solution of the initial-boundary-value problem using explicit difference method to the two-dimensional case is presented. The suggested algorithm has been verified by implementation on a workstation-cluster running under PVM (Parallel Virtual Machine). Theoretical estimates of the speed-up are presented.
LA - eng
KW - initial-boundary-value problem; parallel virtual machine (PVM); initial-boundary-value problem; parallel virtual machine (PVM)
UR - http://eudml.org/doc/33526
ER -

References

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  5. Ortega J. M., Voigt R. G., Solution of PDE on Vector and Parallel Computers, SIAM, Philadelphia, 1985 MR0846844
  6. Pavluš M., Schwarz algorithm for solution of a quasiparabolic equation, Vestnik Moskov. Univ. 4 (1992), 15, 27–35 (1992) MR1215472
  7. Peaceman D. W., Rachford H. H., 10.1137/0103003, J. Soc. Indust. Appl. Math. 3 (1955), 28–41 (1955) Zbl0067.35801MR0071874DOI10.1137/0103003
  8. Smith G. D., Numerical Solution of PDE, Finite Difference Methods. Second edition. Clarendon Press, Oxford 1978 MR0509636
  9. Tyrtyshnikov E. E., Parallelization of some numerical methods, In: Numerical Solution of Partial Differential Equation, Košice 1992 
  10. Vajteršic M., Algorithms for Elliptic Problems, Efficient Sequential and Parallel Solvers. VEDA, Bratislava 1988 Zbl0809.65101MR1246333

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