Kniha Newton Methods for Nonlinear Problems Peter Deuflhard

Newton Methods for Nonlinear Problems

Affine Invariance and Adaptive Alorithms

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 514
This book deals with the efficient numerical solution of challenging nonlinear problems in science a...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2004
Stránek
424
EAN
9783540210993
ISBN
3540210997
Enbook ID
05273717
Hmotnost
832
Rozměry
240 x 165 x 33

Kompletní popis

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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