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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Newton Methods for Nonlinear Problems - Affine Invariance and Adaptive Algorithms (Paperback, 2004)
Loot Price: R2,367
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Newton Methods for Nonlinear Problems - Affine Invariance and Adaptive Algorithms (Paperback, 2004)
Series: Springer Series in Computational Mathematics, 35
Expected to ship within 10 - 15 working days
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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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