BibTeX
@ARTICLE{
         Charpentier2008Sos,
       ad_tools = "Diamant",
       ad_theotech = "Higher Order",
       author = "Charpentier, Isabelle",
       title = "Sensitivity of solutions computed through the Asymptotic Numerical Method",
       journal = "Comptes Rendus M{\'e}canique",
       year = "2008",
       volume = "336",
       number = "10",
       pages = "788--793",
       month = "oct",
       abstract = "The Asymptotic Numerical Method (ANM) allows one to compute solution branches of
         sufficiently smooth non-linear PDE problems using truncated Taylor expansions. The Diamant approach
         of the ANM has been proposed for hiding definitively the differentiation aspects to the user. In
         this Note, this significant improvement in terms of genericity is exploited to compute the
         sensitivity of ANM solutions with respect to modelling parameters. The differentiation in the
         parameters is discussed at both the equation and code level to highlight the Automatic
         Differentiation (AD) purposes. A numerical example proves the interest of such techniques for a
         generic and efficient implementation of sensitivity computations.",
       doi = "10.1016/j.crme.2008.09.003",
       issn = "1631-0721",
       id = "Charpentier2008Sos"
}