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Numerical Methods for Nonlinear Partial Differential Equations

Name: Numerical Methods for Nonlinear Partial Differential Equations
Brand: Springer International Publishing AG
SKU: 15368769
Price: 144.22 EUR
Availability: InStock
Author: Soren Bartels
ISBN: 9783319356808

Soren Bartels

Language

English

Book Paperback

Libristo code: 15368769

Publishers Springer International Publishing AG, October 2016

The description of many interesting phenomena in science and engineering leads to infinite-dimension... Full description

Libristo code: 15368769

349 b

144.22 €

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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.