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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Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17980088411
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New. Contains: Illustrations, black & white. Springer Series in Computational Mathematics . XII, 424 p. 49 illus. Intended for professional and scholarly audience.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
11118184773
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Standard Shipping: $4.64
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New. 424 p. Springer Series in Computational Mathematics , 35. 49 Illustrations, black and white; XII, 424 p. 49 illus. Intended for professional and scholarly audience.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17987499931
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Fine. Contains: Illustrations, black & white. Springer Series in Computational Mathematics . XII, 424 p. 49 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17987897627
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New. Contains: Illustrations, black & white. Springer Series in Computational Mathematics . XII, 424 p. 49 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17383573127
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Standard Shipping: $4.64
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Seller's Description:
New. 424 p. Springer Series in Computational Mathematics , 35. 49 Illustrations, black and white; XII, 424 p. 49 illus. Intended for professional and scholarly audience.
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2011
Language:
English
Alibris ID:
17986966847
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Standard Shipping: $4.64
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Seller's Description:
Fine. Contains: Illustrations, black & white. Springer Series in Computational Mathematics . XII, 424 p. 49 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.