# Numerical Approximation of Partial Differential Equations (Springer Series in Computational Mathematics)

## Quarteroni, Alfio; Valli, Alberto

0 durchschnittliche Bewertung
( 0 Bewertungen bei GoodReads )

Rezension:

"...The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure."--MATHEMATICAL REVIEWS

Vom Verlag:

Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov­ Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel­ oped for the spatial discretization. This theory is then specified to two numer­ ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg­ endre and Chebyshev expansion).

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Neu kaufen Angebot ansehen
EUR 82,38

Versand: EUR 29,50
Von Deutschland nach USA

Versandziele, Kosten & Dauer

In den Warenkorb

## 1.Numerical Approximation of Partial Differential Equations

Verlag: Springer-Verlag Gmbh Sep 2008 (2008)
ISBN 10: 3540852670 ISBN 13: 9783540852674
Neu Taschenbuch Anzahl: 1
Anbieter
AHA-BUCH GmbH
(Einbeck, Deutschland)
Bewertung

Buchbeschreibung Springer-Verlag Gmbh Sep 2008, 2008. Taschenbuch. Buchzustand: Neu. 237x157x35 mm. Neuware - Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion). 543 pp. Englisch. Artikel-Nr. 9783540852674

Neu kaufen
EUR 82,38
Währung umrechnen
Versand: EUR 29,50
Von Deutschland nach USA
Versandziele, Kosten & Dauer