Elliptic Differential Equations - Theory and Numerical Treatment (Hardcover, 2nd ed. 2017)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Series in Computational Mathematics, 18
Release date:	June 2017
First published:	2017
Authors:	Wolfgang Hackbusch
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	455
Edition:	2nd ed. 2017
ISBN-13:	978-3-662-54960-5
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
LSN:	3-662-54960-3
Barcode:	9783662549605

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