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 ...
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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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Add this copy of Newton Methods for Nonlinear Problems: Affine to cart. $79.84, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2011 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2011, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
11118184773
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New. Print on demand Contains: Illustrations, black & white. Springer Series in Computational Mathematics . XII, 424 p. 49 illus. Intended for professional and scholarly audience.
Add this copy of Newton Methods for Nonlinear Problems: Affine to cart. $88.11, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2011 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2011, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17986412968
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Edition:
2011, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Add this copy of Newton Methods for Nonlinear Problems: Affine to cart. $100.64, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2011 by Springer.
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2011, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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2011, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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