Science/Engineering Newton Methods for Nonlinear Problems (3540210997)

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Peter Deuflhard, "Newton Methods for Nonlinear Problems "

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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	Science/Engineering Iterative Regularization Methods for Nonlinear Ill-Posed Problems Barbara Kaltenbacher “Iterative Regularization Methods for Nonlinear Ill-Posed Problems" Walter de Gruyter \| 2008-05-20 \| ISBN: 3110204207 \| 196 pages \| PDF \| 1,4 MB Nonlinear inverse problems appear in many applications, and typically ...
	Science/Engineering Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics Zvyagin, Victor G. “Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics" Walter de Gruyter \| 2008-06-17 \| ISBN: 3110202220 \| 230 pages \| PDF \| 1,2 MB The authors present functional analytical methods ...
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