Iterative Splitting Methods for Differential Equations - Couverture rigide

Livre 10 sur 34: Chapman & Hall/CRC Numerical Analysis and Scientific Computing

Geiser, Juergen

 
9781439869826: Iterative Splitting Methods for Differential Equations
Couverture rigide
ISBN 10 : 1439869820 ISBN 13 : 9781439869826
Editeur : Chapman & Hall/CRC, 2011

Synopsis

Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations.

In the theoretical part of the book, the author discusses the main theorems and results of the stability and consistency analysis for ordinary differential equations. He then presents extensions of the iterative splitting methods to partial differential equations and spatial- and time-dependent differential equations.

The practical part of the text applies the methods to benchmark and real-life problems, such as waste disposal, elastics wave propagation, and complex flow phenomena. The book also examines the benefits of equation decomposition. It concludes with a discussion on several useful software packages, including r3t and FIDOS.

Covering a wide range of theoretical and practical issues in multiphysics and multiscale problems, this book explores the benefits of using iterative splitting schemes to solve physical problems. It illustrates how iterative operator splitting methods are excellent decomposition methods for obtaining higher-order accuracy.

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

À propos de l?auteur

Juergen Geiser is a researcher in the Department of Mathematics at the Humboldt-University of Berlin. His research interests include numerical and computational analysis, partial differential equations, decomposition and discretization methods for hyperbolic and parabolic equations, optimization, scientific computing, and interface analysis.

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

Éditeur
Chapman & Hall/CRC
Date d'édition
2011
Langue
anglais
ISBN 10 
1439869820
ISBN 13 
9781439869826
Reliure
Relié
Nombre de pages
328
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781138111905: Iterative Splitting Methods for Differential Equations

Edition présentée

ISBN 10 :  1138111902 ISBN 13 :  9781138111905
Editeur : CRC Press, 2017
Couverture souple