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Item Details
Title: ELLIPTIC DIFFERENTIAL EQUATIONS
THEORY AND NUMERICAL TREATMENT
By: Wolfgang Hackbusch, R. Fadiman (Trans), P.D.F. Ion (Trans)
Format: Hardback

List price: £149.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 354054822X
ISBN 13: 9783540548225
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 8 October, 1992
Edition: 1st ed. 1992. 2nd printing 2003
Series: Springer Series in Computational Mathematics 18
Pages: 311
Translated from: German
Description: This is the soft cover reprint of the very popular hardcover edition. The book offers a simultaneous presentation of the theory and of the numerical treatment of elliptic problems.
Synopsis: This book has developed from lectures that the author gave for mathematics students at the Ruhr-Universitat Bochum and the Christian-Albrechts-Uni- versitat Kiel. This edition is the result of the translation and correction of the German edition entitled Theone und Numenk elliptischer Differential- gleichungen. The present work is restricted to the theory of partial differential equa- tions of elliptic type, which otherwise tends to be given a treatment which is either too superficial or too extensive. The following sketch shows what the problems are for elliptic differential equations. A: Theory of B: Discretisation: c: Numerical analysis elliptic Difference Methods, convergence, equations finite elements, etc. stability Elliptic Discrete boundary value equations f-------- ----- problems E:Theory of D: Equation solution: iteration Direct or with methods iteration methods The theory of elliptic differential equations (A) is concerned with ques- tions of existence, uniqueness, and properties of solutions. The first problem of VI Foreword numerical treatment is the description of the discretisation procedures (B), which give finite-dimensional equations for approximations to the solu- tions. The subsequent second part of the numerical treatment is numerical analysis (0) of the procedure in question. In particular it is necessary to find out if, and how fast, the approximation converges to the exact solution.
Illustrations: XIV, 311 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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