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Numerical Methods for Nonlinear Partial Differential Equations

BARTELS, Sören - Personal Name;

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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Detail Information
Series Title
Springer Series in Computational Mathematics
Call Number
-
Publisher
Cham, Switzerland : Springer., 2015
Collation
X, 393
Language
English
ISBN/ISSN
978-3-319-13796-4
Classification
NONE
Content Type
text
Media Type
computer
Carrier Type
online resource
Edition
1
Subject(s)
Numerical Analysis
Algorithms
Differential equations
Calculus of Variations and Optimization
Specific Detail Info
-
Statement of Responsibility
Sören Bartels
Other Information
Cataloger
Devi
Source
-
Validator
Taufik
Other version/related

No other version available

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  • Numerical Methods for Nonlinear Partial Differential Equations
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