Convection Diffusion Problems: An Introduction to Their Analysis and Numerical Solution - Couverture rigide

Livre 157 sur 190: Graduate Studies in Mathematics

Stynes, Martin; Stynes, David

 
9781470448684: Convection Diffusion Problems: An Introduction to Their Analysis and Numerical Solution
Couverture rigide
ISBN 10 : 1470448688 ISBN 13 : 9781470448684
Editeur : American Mathematical Society, 2018

Synopsis

Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions. This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading. This book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences.

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À propos de l'auteur

Martin Stynes, Beijing Computational Science Research Center, China.

David Stynes, Cork Institute of Technology, Ireland.

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

Éditeur
American Mathematical Society
Date d'édition
2018
Langue
anglais
ISBN 10 
1470448688
ISBN 13 
9781470448684
Reliure
Relié
Nombre de pages
156
Coordonnées du fabricant
non disponible
Personne responsable
non disponible