Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms: 35 (Springer Series in Computational Mathematics) - Tapa blanda

Deuflhard, Peter

 
9783642238987: Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms: 35 (Springer Series in Computational Mathematics)
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ISBN 10: 364223898X ISBN 13: 9783642238987
Editorial: Springer, 2011

Sinopsis

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.

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Acerca del autor

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.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
364223898X
ISBN 13 
9783642238987
Encuadernación
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Número de páginas
440
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9783642239007: Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms

Edición Destacada

ISBN 10:  3642239005 ISBN 13:  9783642239007
Editorial: Springer, 2011
Tapa blanda