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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms Paperback - 2010

by Peter Deuflhard

From the rear cover

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.

Details

  • Title Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
  • Author Peter Deuflhard
  • Binding Paperback
  • Pages 424
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2010
  • Illustrated Yes
  • Features Illustrated
  • ISBN 9783642059278 / 3642059279
  • Dewey Decimal Code 510.285

About the author

Peter Deuflhard is founder and head of the internationally renowned Zuse Institute Berlin (ZIB) and full professor of Numerical Analysis and Scientific Computing at the Free University of Berlin. He is a regular invited speaker at international conferences and universities as well as industry places all over the world.

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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms (Springer Series...
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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms (Springer Series in Computational Mathematics)

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Newton Methods for Nonlinear Problems
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Newton Methods for Nonlinear Problems

by Peter Deuflhard

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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms (Springer Series...
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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms (Springer Series in Computational Mathematics, 35)

by Deuflhard, Peter

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