Elliptic Differential Equations: Theory and Numerical Treatment

Name: Elliptic Differential Equations: Theory and Numerical Treatment
Brand: Springer Verlag
SKU: 9783662549605
Price: 6530.0 INR
Availability: InStock

by Wolfgang Hackbusch

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ISBN13: 9783662549605
Binding: Hardcover
Subject: Mathematics and Statistics
Publisher: Springer Verlag
Publisher Imprint: Springer
Publication Date: January 1, 2017
Pages: 455
Original Price: GBP 52.99
Language: English
Edition: N/A
Item Weight: 835 grams
BISAC Subject(s): Mathematical Analysis, Number Systems, and System Theory

About The Book

From the Back Cover

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.

About The Author

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".

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