Parallel and Sequential Methods for Ordinary Differential Equations - Couverture rigide

Burrage, Kevin

 
9780198534327: Parallel and Sequential Methods for Ordinary Differential Equations
Couverture rigide
ISBN 10 : 0198534329 ISBN 13 : 9780198534327
Editeur : Clarendon Press, 1995

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

...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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Clarendon Press
Date d'édition
1995
Langue
anglais
ISBN 10 
0198534329
ISBN 13 
9780198534327
Reliure
Relié
Nombre de pages
462
Coordonnées du fabricant
non disponible
Personne responsable
Ufficio Anagrafiche Messaggerie
ufficio.anagrafiche@meli.it

Via Verdi, 8
Assago Milano
20090
Italie