Elliptic Differential Equations: Theory and Numerical Treatment: 18 (Springer Series in Computational Mathematics) - Tapa blanda

Libro 28 de 33: Springer Computational Mathematics

Hackbusch, Wolfgang

 
9783662572177: Elliptic Differential Equations: Theory and Numerical Treatment: 18 (Springer Series in Computational Mathematics)
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ISBN 10: 3662572176 ISBN 13: 9783662572177
Editorial: Springer, 2018

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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 member of the editorial board of Springer' s book series "Advances in Numerical Mathematics", "The International Cryogenics Monograph Series" and "Springer Series of Computational Mathematics".

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2018
Idioma
Inglés
ISBN 10 
3662572176
ISBN 13 
9783662572177
Encuadernación
Tapa blanda
Número de páginas
472
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9783662549605: Elliptic Differential Equations: Theory and Numerical Treatment: 18 (Springer Series in Computational Mathematics)

Edición Destacada

ISBN 10:  3662549603 ISBN 13:  9783662549605
Editorial: Springer, 2017
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