Książka Newton Methods for Nonlinear Problems Peter Deuflhard

Newton Methods for Nonlinear Problems

Affine Invariance and Adaptive Alorithms

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
465.00
This book deals with the efficient numerical solution of challenging nonlinear problems in science a...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2004
strony
424
EAN
9783540210993
ISBN
3540210997
Enbook ID
05273717
Waga
832
Wymiary
240 x 165 x 33

Pełny opis

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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