The Concept of Stability in Numerical Mathematics - Couverture rigide

Livre 22 sur 33: Springer Computational Mathematics

Hackbusch, Wolfgang

 
9783642393853: The Concept of Stability in Numerical Mathematics
Couverture rigide
ISBN 10 : 3642393853 ISBN 13 : 9783642393853
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2014

Synopsis

In this book, the author compares the meaning of stability in different subfields of numerical mathematics.

Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations.

In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.

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

À propos de l?auteur

The author is a very well-known author of Springer, working in the field of numerical mathematics for partial differential equations and integral equations. He has published numerous books in the SSCM series, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and a book in German about the technique of hierarchical matrices. Hackbusch is also in the editorial board of Springer's book series "Advances in Numerical Mathematics" and "The International Cryogenics Monograph Series".

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

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
2014
Langue
anglais
ISBN 10 
3642393853
ISBN 13 
9783642393853
Reliure
Relié
Nombre de pages
203
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783662513712: The Concept of Stability in Numerical Mathematics

Edition présentée

ISBN 10 :  3662513714 ISBN 13 :  9783662513712
Editeur : Springer, 2016
Couverture souple