Numerical Methods for Nonlinear Partial Differential Equations

Name: Numerical Methods for Nonlinear Partial Differential Equations
Brand: Springer International Publishing AG
SKU: 9783319356808
Price: 772.41 RON
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Autor: Soren Bartels

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Editura: Springer International Publishing AG

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

Informații despre carte

Autor

Soren Bartels

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

393

EAN

9783319356808

ISBN

9783319356808

Enbook ID

15368769

Editura

Springer International Publishing AG

Greutate

6088

Dimensiuni

155 x 235 x 23

Descriere completă

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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Numerical Methods for Nonlinear Partial Differential Equations

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