Kniha Elliptic Differential Equations Wolfgang Hackbusch

Elliptic Differential Equations

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
1 643
This book simultaneously presents the theory and the numerical treatment of elliptic boundary value...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2017
Stránek
455
EAN
9783662549605
ISBN
3662549603
Enbook ID
16222303
Hmotnost
8276
Rozměry
155 x 235 x 29

Kompletní popis

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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