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Numerical Methods for Nonlinear Partial Differential Equations (Springer Series in Computational Mathematics, 47) - Hardcover
Synopsis
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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Review
“This book presents an ambitious overview of modern results and trends in the field of numerical methods for nonlinear PDEs, with an emphasis on the finite element method. ... The target audience of the book is postgraduates and experienced researchers. ... this is an excellent monograph describing methods found at the intersection of numerical PDEs and the calculus of variations.” (Michael Neilan, SIAM Review, Vol. 58 (3), September, 2016)
“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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- PublisherSpringer
- Publication date2015
- ISBN 10 3319137964
- ISBN 13 9783319137964
- BindingHardcover
- LanguageEnglish
- Number of pages403
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Numerical Methods for Nonlinear Partial Differential Equations
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Springer International Publishing Feb 2015, 2015
ISBN 10: 3319137964
ISBN 13: 9783319137964
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 404 pp. Englisch. Seller Inventory # 9783319137964
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Numerical Methods for Nonlinear Partial Differential Equations
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides rigorous numerical analyses for the treatment of modern applications with state-of-the-art approximation schemesIncludes explanations of the mathematical modeling and analytical properties for the problems consideredSimple Matlab codes al. Seller Inventory # 18964342
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Numerical Methods for Nonlinear Partial Differential Equations
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ISBN 10: 3319137964
ISBN 13: 9783319137964
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319137964
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