Elliptic Differential Equations
Theory and Numerical Treatment
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 dev…
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Produktdetails
- ISBN: 978-3-662-54960-5
- EAN: 9783662549605
- Produktnummer: 22845202
- Verlag: Springer Nature EN
- Sprache: Englisch
- Erscheinungsjahr: 2017
- Seitenangabe: 455 S.
- Masse: H23.5 cm x B15.5 cm 8'276 g
- Auflage: 2. A.
- Abbildungen: Farb., s/w. Abb.
- Reihenbandnummer: 18
- Gewicht: 8276
- Sonstiges: Research
Über den Autor
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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