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Numerical Methods for Nonlinear Partial Differential Equations

Language EnglishEnglish
Book Hardback
Book Numerical Methods for Nonlinear Partial Differential Equations Sören Bartels
Libristo code: 09090188
Publishers Springer International Publishing AG, January 2015
The description of many interesting phenomena in science and engineering leads to infinite-dimension... Full description
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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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About the book

Full name Numerical Methods for Nonlinear Partial Differential Equations
Author Sören Bartels
Language English
Binding Book - Hardback
Date of issue 2015
Number of pages 393
EAN 9783319137964
ISBN 3319137964
Libristo code 09090188
Publishers Springer International Publishing AG
Weight 736
Dimensions 165 x 249 x 27

Categories

Mathematics & Science > Mathematics > Mathematical foundations > Number systems
Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations
Mathematics & Science > Mathematics > Calculus & mathematical analysis > Calculus of variations
Mathematics & Science > Mathematics > Calculus & mathematical analysis > Numerical analysis
Mathematics & Science > Mathematics > Optimization
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