Newton Methods for Nonlinear Problems

Name: Newton Methods for Nonlinear Problems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642059278
Price: 115.98 EUR
Availability: InStock

Affine Invariance and Adaptive Algorithms

Автор: Peter Deuflhard

Език:

Корици: С меки корици

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

Наличност: Външен склад

Изпращаме след 5-8 дни

115.98 € 226.84 лв

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

Информация за книгата

Автор

Peter Deuflhard

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

424

EAN

9783642059278

ISBN

3642059279

Enbook ID

05281006

Издател

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Теглоt

670

Размери

168 x 25 x 24

Пълно описание

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

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