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

Bartels, Sören

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

Synopsis

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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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2015
Language
English
ISBN 10 
3319137964
ISBN 13 
9783319137964
Binding
Hardcover
Number of pages
403

Other Popular Editions of the Same Title

9783319356808: Numerical Methods for Nonlinear Partial Differential Equations: 47 (Springer Series in Computational Mathematics, 47)

Featured Edition

ISBN 10:  3319356801 ISBN 13:  9783319356808
Publisher: Springer, 2016
Softcover