Publication: Automatic differentiation of the asymptotic numerical method: the Diamant approach
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Automatic differentiation of the asymptotic numerical method: the Diamant approach

- Article in a journal -
 

Author(s)
Isabelle Charpentier , Michel Potier-Ferry

Published in
Comptes Rendus Mécanique

Year
2008

Abstract
The Asymptotic Numerical Method (ANM) is a competitive path following method based on truncated series. Until now, these Taylor expansions were mainly handwritten. The Note discusses the automation of high order derivative computations involved in the ANM and presents the Automatic Differentiation (ad) library Diamant. As any ad tool, the latter is generic and may be used to differentiate the code of any differentiable behaviour law what simplifies the implementation of the MAN in a significant manner. Numerical performances prove the efficiency of the Diamant approach.

AD Tools
Diamant

AD Theory and Techniques
Higher Order

BibTeX
@ARTICLE{
         Charpentier2008Ado,
       ad_tools = "Diamant",
       ad_theotech = "Higher Order",
       author = "Charpentier, Isabelle and Potier-Ferry, Michel",
       title = "Automatic differentiation of the asymptotic numerical method: the Diamant approach",
       journal = "Comptes Rendus M{\'e}canique",
       year = "2008",
       volume = "336",
       number = "3",
       pages = "336--340",
       month = "mar",
       abstract = "The Asymptotic Numerical Method (ANM) is a competitive path following method based
         on truncated series. Until now, these Taylor expansions were mainly handwritten. The Note discusses
         the automation of high order derivative computations involved in the ANM and presents the Automatic
         Differentiation (AD) library Diamant. As any AD tool, the latter is generic and may be used to
         differentiate the code of any differentiable behaviour law what simplifies the implementation of the
         MAN in a significant manner. Numerical performances prove the efficiency of the Diamant approach.",
       doi = "10.1016/j.crme.2007.11.022",
       issn = "1631-0721",
       id = "Charpentier2008Ado"
}


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