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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