Kniha Numerical Methods for Nonlinear Partial Differential Equations Soren Bartels

Numerical Methods for Nonlinear Partial Differential Equations

Autor: Soren Bartels
Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
3 198
The description of many interesting phenomena in science and engineering leads to infinite-dimension...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2016
Stránek
393
EAN
9783319356808
ISBN
9783319356808
Enbook ID
15368769
Hmotnost
6088
Rozměry
155 x 235 x 23

Kompletní popis

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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