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

Peter Deuflhard

ISBN 10: 3642059279 / ISBN 13: 9783642059278

Editore: Springer Berlin Heidelberg, 2004

436 pages. 9.13x6.06x1.02 inches. In Stock. Codice articolo 3642059279

Riassunto:

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.

Informazioni sull'autore:

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.

Dati bibliografici

Titolo: Newton Methods for Nonlinear Problems: ...
Casa editrice: Springer Berlin Heidelberg
Data di pubblicazione: 2004
Legatura: Paperback
Condizione: Brand New