Newton Methods for Nonlinear Problems

Name: Newton Methods for Nonlinear Problems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642238987
Price: 406.83 RON
Availability: InStock

Autor: Peter Deuflhard

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Legare: Carte broșată

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

Disponibilitate: În depozitul extern

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

Informații despre carte

Autor

Peter Deuflhard

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2011

Pagini

424

EAN

9783642238987

ISBN

364223898X

Enbook ID

01365739

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

640

Dimensiuni

158 x 235 x 24

Descriere completă

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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