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Elliptic Differential Equations

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Elliptic Differential Equations

Theory and Numerical Treatment

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Elliptic Differential Equations by Wolfgang Hackbusch
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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.
Release date Australia
January 31st, 2010
Translated by P D F Ion Translated by R Fadiman
Country of Publication
1st. ed. 1992. 2nd printing 2010. Softcover reprint of the original 1st ed. 1992
XIV, 311 p.
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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