Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms (Springer Series in Computational Mathematics, 35)
Language: English
Published by Springer, 2010
- Softcover
- Used
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- Title
- Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms (Springer Series in Computational Mathematics, 35)
- Author
- Deuflhard, Peter
- Publisher
- Springer
- Publication year
- 2010
- Condition
- Like New
- Book Type
- book
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3642059279
- ISBN 13
- 9783642059278
- Series
- Book 18 of 33: Springer Computational Mathematics
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.
"Synopsis" may belong to another edition of this title.
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.
"About the title" may belong to another edition of this title.
Mispah books
Redhill, Surrey, United Kingdom
AbeBooks seller since April 15, 2021
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