Numerical Methods for Nonlinear Partial Differential Equations / Springer Series in Computational Mathematics Bd.47 (PDF)
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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.
- Autor: Sören Bartels
- 2015, 2015, 393 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319137972
- ISBN-13: 9783319137971
- Erscheinungsdatum: 19.01.2015
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- Größe: 15 MB
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“This book provides advanced students and experimental researchers with an introduction to numerical methods for nonlinear partial differential equations, in particular those originating from continuum mechanics. … This book presents a very nice transition from graduate-level material to state-of-the-art research topics. … This is a nice and well-written advanced textbook.” (Karsten Urban, Mathematical Reviews, October, 2015)
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