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Elliptic Differential Equations

Elliptic Differential Equations

Theory and Numerical Treatment

by Wolfgang Hackbusch
Hardback
Publication Date: 08/10/1992

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$455.95
The book offers a simultaneous presentation of the theory and of the numerical treatment of elliptic problems. The author starts with a discussion of the Laplace equation in the classical formulation and its discretisation by finite differences and deals with topics of gradually increasing complexity in the following chapters. He introduces the variational formulation of boundary value problems together with the necessary background from functional analysis and describes the finite element method including the most important error estimates. A more advanced chapter leads the reader into the theory of regularity. The reader will also find more details about the discretisation of singularly perturbed equations and eigenvalue problems. The author discusses the Stokes problem as an example of a saddle point problem taking into account its relevance to applications in fluid dynamics.
ISBN:
9783540548225
9783540548225
Category:
Differential calculus & equations
Format:
Hardback
Publication Date:
08-10-1992
Language:
English
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country of origin:
Germany
Pages:
311
Dimensions (mm):
234x156x19mm
Weight:
1.42kg

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