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Numerical Methods for Nonlinear Partial Differential Equations on Hardback by Soren Bartels
Numerical Methods for Nonlinear Partial Differential Equations on Hardback by Soren Bartels
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Numerical Methods for Nonlinear Partial Differential Equations

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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 Australia
February 3rd, 2015
Author
Audience
  • Professional & Vocational
Illustrations
122 Illustrations, black and white; X, 393 p. 122 illus.
Pages
393
Dimensions
155x235x24
ISBN-13
9783319137964
Product ID
23648278

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