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Automatic Differentiation of Algorithms
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Automatic Differentiation of Algorithms

Automatic Differentiation of Algorithms

From Simulation to Optimization

George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët, Uwe Naumann

432 pages, parution le 27/02/2002

Résumé

Automatic Differentiation (AD) is a maturing computational technology and has become a mainstream tool used by practicing scientists and computer engineers. The rapid advance of hardware computing power and AD tools has enabled practitioners to quickly generate derivative-enhanced versions of their code for a broad range of applications in applied research and development. Automatic Differentiation of Algorithms provides a comprehensive and authoritative survey of all recent developments, new techniques, and tools for AD use. The book covers all aspects of the subject: mathematics, scientific programming (i.e., use of adjoints in optimization) and implementation (i.e., memory management problems). A strong theme of the book is the relationships between AD tools and other software tools, such as compilers and parallelizers. A rich variety of significant applications are presented as well, including optimum-shape design problems, for which AD offers more efficient tools and techniques.

Contents

  • Invited Contributions.
  • Parameter Identification and Least Squares.
  • Applications in Ode's and Optimal Control.
  • Applications in PDE's.
  • Applications in Science and Engineering.
  • Maintaining and Enhancing Parallelism.
  • Exploiting Structure and Sparsity.
  • Space
  • Time Tradeoffs in the Reverse Mode.
  • Use of Second and Higher Derivatives.
  • Error Estimates and Inclusions.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoët, Uwe Naumann
Parution 27/02/2002
Nb. de pages 432
Format 15,5 x 23,5
Couverture Relié
Poids 827g
Intérieur Noir et Blanc
EAN13 9780387953052

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