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Elliptic Differential Equations : Theory and Numerical Treatment (Hardcover) (Wolfgang Hackbusch)

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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.

Genre: Mathematics, Science
Series Title: Springer Series in Computational Mathematics
Format: Hardcover
Publisher: Springer Verlag
Author: Wolfgang Hackbusch
Language: English
Street Date: June 12, 2017
TCIN: 52742489
UPC: 9783662549605
Item Number (DPCI): 248-46-8554

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