Parallel Multigrid Waveform Relaxation for Parabolic Problems

Name: Parallel Multigrid Waveform Relaxation for Parabolic Problems
Brand: B.G.Teubner GmbH
SKU: 9783519027171
Price: 41.25 EUR
Availability: InStock

Autor: Stefan Vandewalle

Jazyk:

Väzba: Brožovaná

Vydavateľ: B.G.Teubner GmbH

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41.25 €

Wetenschap is meer dan het object dat zij bestudeert. Wetenschap is ook de weg naar de ontdekking, e...

Informácie o knihe

Autor

Stefan Vandewalle

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

1993

Stránok

247

EAN

9783519027171

ISBN

3519027178

Enbook ID

06801953

Vydavateľ

B.G.Teubner GmbH

Hmotnosť

404

Rozmery

156 x 236 x 19

Kompletný popis

Wetenschap is meer dan het object dat zij bestudeert. Wetenschap is ook de weg naar de ontdekking, en bovendien, wetenschap is ook het verhaaJ van de ontdekkingsreis. -Po Thielen Focus research, Nr 10-11, juli 1991. The numerical solution of a parabolic partial differential equation is usually calcu lated by using a time-stepping method. This precludes the efficient use of parallelism and vectorization, unless the problem to be solved at each time-level is very large. This monograph investigates the use of an algorithm that overcomes the limitations of the standard schemes by calculating the solution at many time-levels, or along a continuous time-window simultaneously. The algorithm is based on waveform relazation, a highly parallel technique for solving very large systems of ordinary differential equations, and multigrid, a very fast method for solving elliptic partial differential equations. The resulting multigrid waveform relazation method is applicable to both initial boundary value and time-periodic parabolic problems. We analyse in this book theoretical and practical aspects of the multigrid waveform relaxation algorithm. Its implementation on a distributed memory message-passing computer and its computational complexity (arithmetic complexity, communication complexity and potential for vectorization) are studied. The method has been im plemented and extensively tested on a hypercube multiprocessor with vector nodes. Results of numerical experiments are given, which illustrate a severalfold performance gain when compared to parallel implementations of a variety of standard initial bound ary value and time-periodic solvers.

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Parallel Multigrid Waveform Relaxation for Parabolic Problems

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