Numerical Methods for Nonlinear Partial Differential Equations: 47 - Brossura

Libro 23 di 33: Springer Computational Mathematics

Bartels, Sören

 
9783319356808: Numerical Methods for Nonlinear Partial Differential Equations: 47
Brossura
ISBN 10: 3319356801 ISBN 13: 9783319356808
Casa editrice: Springer, 2016

Sinossi

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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Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2016
Lingua
Inglese
ISBN 10 
3319356801
ISBN 13 
9783319356808
Rilegatura
Copertina flessibile
Numero di pagine
404
Contatto del produttore
non disponibile
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Altre edizioni note dello stesso titolo

9783319137964: Numerical Methods for Nonlinear Partial Differential Equations: 47

Edizione in evidenza

ISBN 10:  3319137964 ISBN 13:  9783319137964
Casa editrice: Springer Nature, 2015
Rilegato