Parallel and sequential methods for ordinary differential equations / Kevin Burrage

Burrage, Kevin

ISBN 10: 0198534329 / ISBN 13: 9780198534327

Editore: Oxford : Clarendon Press, 1995

Riguardo questo articolo

Near fine copy in the original colour-printed boards. Slightest suggestion only of dust-dulling to the spine bands and panel edges. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; xvi, 446 pages : illustrations ; 24 cm. Notes; Includes bibliographical references (pages [404]-439) and index. Contents; Aspects of parallel computing -- An introduction to sequential ODE methods -- Order and stability: a general framework -- Parallel linear algebra -- Direct method for ODES -- Diverse approaches to parallelism -- Waveform relaxation techniques -- Discrete waveform methods -- Implementation of waveform algorithms. Subjects; Differential equations Numerical solutions Data processing. Parallel processing (Electronic computers). Differential equations. Sequential processing (Computer science). Differential equations Numerical solutions. Sequential analysis. 1 Kg.

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Dati bibliografici

• Titolo: Parallel and sequential methods for ordinary differential equations / Kevin Burrage
• Editore: Oxford : Clarendon Press
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 0198534329
• ISBN 13: 9780198534327
• Rilegatura: Rilegato
• Edizione: First Edition.

Descrizione articolo

Riassunto

This book presents an up-to-date exposition of the current `state of the art' of numerical methods for solving ordinary differential equations in a parallel computing environment. Although the main focus is on problems of initial value type, consideration will also be given to boundary value problems and partial differential equations. Furthermore, because linear algebra is an important component of the solution of differential equations, a complete chapter is devoted to the parallel solution of linear systems of equations. In addition to presenting an overview of parallel computing in general, two chapters are devoted to a summary of existing sequential differential equation methods. The parallel techniques discussed include parallelism across the method, parallelism across the step, parallelism across the system, and dynamic iteration. The book concludes with a chapter on the behaviour of a parallel code based on waveform relaxation.

This comprehensive book is unique in its content and provides a balance between theoretical and practical issues by providing general frameworks in which to study parallel methods.

Recensione

...written at a level that should be accessible to most engineers and scientists familiar with numerical methods for ODEs and graduate, or senior undergraduate, students specializing in numerical computing. ... it is an ideal starting point for anyone interested in learning about parallel numerical methods for IVPs for ODEs as well as a valuable reference for established researchers in the area . . . Although several excellent books on numerical methods for IVPs for ODEs have appeared in the last few years, Burrage's monograph is unique in its breadth and depth of discussion of parallel methods for this class of problems.Ken Jackson, SIAM Review, Vol. 39 No. 2, June 1997