Algorithms for Elliptic Problems: Efficient Sequential and Parallel Solvers - Couverture souple

Vajtersic, Marián

 
9789048141906: Algorithms for Elliptic Problems: Efficient Sequential and Parallel Solvers
Couverture souple
ISBN 10 : 9048141907 ISBN 13 : 9789048141906
Editeur : Springer, 2010

Synopsis

This volume deals with problems of modern effective algorithms for the numerical solution of the most frequently occurring elliptic partial differential equations. From the point of view of implementation, attention is paid to algorithms for both classical sequential and parallel computer systems.
The first two chapters are devoted to fast algorithms for solving the Poisson and biharmonic equation. In the third chapter, parallel algorithms for model parallel computer systems of the Simd and Mimd types are described. The implementation aspects of parallel algorithms for solving model elliptic boundary value problems are outlined for systems with matrix, pipeline and multiprocessor parallel computer architectures. A modern and popular multigrid computational principle which offers a good opportunity for a parallel realization is described in the next chapter. More parallel variants based in this idea are presented, whereby methods and assignments strategies for hypercube systems are treated in more detail. The last chapter presents Vlsi designs for solving special tridiagonal linear systems of equations arising from finite-difference approximations of elliptic problems.
For researchers interested in the development and application of fast algorithms for solving elliptic partial differential equations using advanced computer systems.

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

Présentation de l'éditeur

This volume deals with problems of modern effective algorithms for the numerical solution of the most frequently occurring elliptic partial differential equations. From the point of view of implementation, attention is paid to algorithms for both classical sequential and parallel computer systems.
The first two chapters are devoted to fast algorithms for solving the Poisson and biharmonic equation. In the third chapter, parallel algorithms for model parallel computer systems of the Simd and Mimd types are described. The implementation aspects of parallel algorithms for solving model elliptic boundary value problems are outlined for systems with matrix, pipeline and multiprocessor parallel computer architectures. A modern and popular multigrid computational principle which offers a good opportunity for a parallel realization is described in the next chapter. More parallel variants based in this idea are presented, whereby methods and assignments strategies for hypercube systems are treated in more detail. The last chapter presents Vlsi designs for solving special tridiagonal linear systems of equations arising from finite-difference approximations of elliptic problems.
For researchers interested in the development and application of fast algorithms for solving elliptic partial differential equations using advanced computer systems.

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

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
9048141907
ISBN 13 
9789048141906
Reliure
Broché
Nombre de pages
316
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9780792319184: Algorithms for Elliptic Problems Efficient Sequential and Parallel Solvers

Edition présentée

ISBN 10 :  0792319184 ISBN 13 :  9780792319184
Editeur : Kluwer Academic Publishers, 1993
Couverture rigide