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Newton Methods for Nonlinear Problems

Name: Newton Methods for Nonlinear Problems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642059278
Price: 2956 CZK
Availability: InStock

Affine Invariance and Adaptive Algorithms

Autor: Peter Deuflhard

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnost: U nakladatele na objednávku

Odesíláme za 17-27 dnů

2 956 Kč

This book deals with the efficient numerical solution of challenging nonlinear problems in science a...

Informace o knize

Autor

Peter Deuflhard

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2010

Stránek

424

EAN

9783642059278

ISBN

3642059279

Enbook ID

05281006

Vydavatel

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnost

670

Rozměry

168 x 25 x 24

Kompletní popis

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite and in infinite dimension. Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. 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. 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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Newton Methods for Nonlinear Problems

Affine Invariance and Adaptive Algorithms

Informace o knize

Kompletní popis

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