Kniha Numerical Methods for Nonlinear Partial Differential Equations Sören Bartels

Numerical Methods for Nonlinear Partial Differential Equations

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
3 198
The description of many interesting phenomena in science and engineering leads to infinite-dimension...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2015
Stránek
393
EAN
9783319137964
ISBN
3319137964
Enbook ID
09090188
Hmotnost
736
Rozměry
165 x 249 x 27

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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