Newton Methods For Nonlinear Problems (Hb)
Deuflhard, Peter
ISBN 10: 3540210997 ISBN 13: 9783540210993
Published by Springer, 2004
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About this Item
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Synopsis:
This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.
About the Author:
Peter Deuflhard is founder and head of the internationally renowned Zuse Institute Berlin (ZIB) and full professor of Numerical Analysis and Scientific Computing at the Free University of Berlin. He is a regular invited speaker at international conferences and universities as well as industry places all over the world.
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Bibliographic Details
Title: Newton Methods For Nonlinear Problems (Hb)
Publisher: Springer
Publication Date: 2004
Binding: Hardcover
Condition: New
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Newton Methods for Nonlinear Problems : Affine Invariance and Adaptive Algorithms
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ISBN 10: 3540210997
ISBN 13: 9783540210993
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Deuflhard, P: Newton Methods for Nonlinear Problems
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ISBN 10: 3540210997
ISBN 13: 9783540210993
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Peter Deuflhard is founder and head of the internationally renowned Zuse Institute Berlin (ZIB) and full professor of Numerical Analysis and Scientific Computing at the Free University of Berlin. He is a regular invited speaker at international conferenc. Seller Inventory # 4885016
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Newton Methods for Nonlinear Problems | Affine Invariance and Adaptive Algorithms
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Buch. Condition: Neu. Newton Methods for Nonlinear Problems | Affine Invariance and Adaptive Algorithms | Peter Deuflhard | Buch | xii | Englisch | 2004 | Springer-Verlag GmbH | EAN 9783540210993 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 112011772
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Newton Methods for Nonlinear Problems
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Newton Methods for Nonlinear Problems : Affine Invariance and Adaptive Algorithms
Published by
Springer Berlin Heidelberg, 2004
ISBN 10: 3540210997
ISBN 13: 9783540210993
New
Hardcover
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research. Seller Inventory # 9783540210993