Wolfgang Hackbusch

(Author)

Elliptic Differential Equations: Theory and Numerical Treatment (Softcover Reprint of the Original 2nd 2017)Paperback - Softcover Reprint of the Original 2nd 2017, 12 May 2018

Elliptic Differential Equations: Theory and Numerical Treatment (Softcover Reprint of the Original 2nd 2017)
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Part of Series
Springer Computational Mathematics
Part of Series
Springer Series in Computational Mathematics
Print Length
455 pages
Language
English
Publisher
Springer
Date Published
12 May 2018
ISBN-10
3662572176
ISBN-13
9783662572177

Description

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.

Product Details

Author:
Wolfgang Hackbusch
Book Edition:
Softcover Reprint of the Original 2nd 2017
Book Format:
Paperback
Country of Origin:
NL
Date Published:
12 May 2018
Dimensions:
23.39 x 15.6 x 2.41 cm
ISBN-10:
3662572176
ISBN-13:
9783662572177
Language:
English
Location:
Berlin, Heidelberg
Pages:
455
Publisher:
Weight:
653.17 gm

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