Téléchargez le livre : Elliptic Differential Equations

Elliptic Differential Equations

Theory and Numerical Treatment
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Paru le : 2017-06-01

This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before ad...
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Description du livre


This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. The variational formulation together with the necessary background from functional analysis provides the basis for the Galerkin and finite-element methods, which are explored in detail. A more advanced chapter leads the reader to the theory of regularity. Individual chapters are devoted to singularly perturbed as well as to elliptic eigenvalue problems. The book also presents the Stokes problem and its discretisation as an example of a saddle-point problem taking into account its relevance to applications in fluid dynamics.

À propos

Auteur
Wolfgang Hackbusch
Éditeur
Springer
Collection
Springer Series in Computational Mathematics
Parution
2017-06-01
Pages
455 pages
EAN papier
9783662549605

Auteur(s) du livre


Defaut-Illustration Wolfgang Hackbusch

Caractéristiques détaillées - droits

EAN PDF
9783662549612
Prix
127,19 €
Nombre pages copiables
4
Nombre pages imprimables
45
Taille du fichier
4721 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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