Numerical Methods for Nonlinear Partial Differential Equations (Springer Series in Computational Mathematics, Band 47) - Softcover

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9783319356808: Numerical Methods for Nonlinear Partial Differential Equations (Springer Series in Computational Mathematics, Band 47)
Softcover
ISBN 10: 3319356801 ISBN 13: 9783319356808
Verlag: Springer, 2016

Inhaltsangabe

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

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The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319356801
ISBN 13 
9783319356808
Einband
Taschenbuch
Anzahl der Seiten
404
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783319137964: Numerical Methods for Nonlinear Partial Differential Equations: 47 (Springer Series in Computational Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3319137964 ISBN 13:  9783319137964
Verlag: Springer, 2015
Hardcover