Numerical Methods for Nonlinear Partial Differential Equations
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Form:Einzelkauf Download
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Sprache:Englisch
Fr. 176.90
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Format
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Nein
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Erscheinungsdatum
19.01.2015
Verlag
SpringerSeitenzahl
393 (Printausgabe)
Dateigröße
16617 KB
Sprache
Englisch
EAN
9783319137971
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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