Téléchargez le livre : Elliptic Differential Equations

Elliptic Differential Equations

Theory and Numerical Treatment de

Éditeur :

Springer


Collection :

Springer Series in Computational Mathematics

Paru le : 2017-06-01

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Description

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.
Pages
455 pages
Collection
Springer Series in Computational Mathematics
Parution
2017-06-01
Marque
Springer
EAN papier
9783662549605
EAN PDF
9783662549612
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
45
Taille du fichier
4721 Ko
Prix
126,59 €

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