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

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9783319137964: Numerical Methods for Nonlinear Partial Differential Equations: 47 (Springer Series in Computational Mathematics)
Hardcover
ISBN 10: 3319137964 ISBN 13: 9783319137964
Verlag: Springer, 2015

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.

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Verlag
Springer
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
3319137964
ISBN 13 
9783319137964
Einband
Tapa dura
Anzahl der Seiten
404
Kontakt zum Hersteller
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Vorgestellte Ausgabe

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Softcover