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Elliptic Differential Equations

Elliptic Differential Equations

Wolfgang Hackbusch

160,11 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2017
Materia
Cálculo y análisis matemático
ISBN:
9783662549605
160,11 €
IVA incluido
Disponible

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Sobre IBD

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.

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