Numerical Methods for Nonlinear Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2015)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Series in Computational Mathematics, 47
Release date:	October 2016
First published:	2015
Authors:	Soeren Bartels
Dimensions:	235 x 155 x 21mm (L x W x T)
Format:	Paperback
Pages:	393
Edition:	Softcover reprint of the original 1st ed. 2015
ISBN-13:	978-3-319-35680-8
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
LSN:	3-319-35680-1
Barcode:	9783319356808

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