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Carte Newton Methods for Nonlinear Problems Peter Deuflhard

Newton Methods for Nonlinear Problems

Affine Invariance and Adaptive Algorithms

Autor: Peter Deuflhard
Limbă: engleză
Legare: Carte broșată
Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
608.37 lei
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
2010
Pagini
424
EAN
9783642059278
ISBN
3642059279
Enbook ID
05281006
Editura
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Greutate
670
Dimensiuni
168 x 25 x 24

Descriere completă

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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