Non-Fiction Books:

Numerical Methods for Nonlinear Partial Differential Equations

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Paperback / softback
Numerical Methods for Nonlinear Partial Differential Equations by Soeren Bartels
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Description

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.
Release date NZ
October 22nd, 2016
Audience
  • Professional & Vocational
Country of Publication
Switzerland
Edition
Softcover reprint of the original 1st ed. 2015
Illustrations
122 Illustrations, black and white; X, 393 p. 122 illus.
Imprint
Springer International Publishing AG
Pages
393
Dimensions
155x235x21
ISBN-13
9783319356808
Product ID
26268203

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