Numerical Treatment of Partial Differential Equations by Christian Grossmann

Numerical Treatment of Partial Differential Equations by Christian Grossmann

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Résumé

The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times.

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Numerical Treatment of Partial Differential Equations by Christian Grossmann

Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst German edition of our book, which appeared in 1992. Our aim was to give students a textbook that contained the basic concepts and ideas behind most numerical methods for partial di?er- tial equations. The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor errors and added additional material and references.

From the reviews:

"This textbook is the translation and revision of the third German edition of 2005... the book deals with different aspects of the numerical solution of elliptic, parabolic and hyperbolic partial differential equations. ... An index and two pages with a summary of the notations used complete the presentation. ... It can be highly recommended for students and engineers but also for numerical analysts." (Riidiger Weiner, Zentralblatt fiir Angewandte Mathematik and Mechanik, Vol. 88 (12), 2008)

SKU Non disponible
ISBN 13 9783540715825
ISBN 10 3540715827
Titre Numerical Treatment of Partial Differential Equations
Auteur Christian Grossmann
Série Universitext
État Non disponible
Type de reliure Paperback
Éditeur Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Année de publication 2007-10-04
Nombre de pages 596
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible