A critical review of asymptotic numerical methods |
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Authors: | A Najah B Cochelin N Damil M Potier-Ferry |
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Affiliation: | 1. Laboratoire de Calcul Scientifique en Mécanique Faculté des Sciences Ben M'Sik, Université Hassan II, Casablanca, Maroc 2. Ecole Supérieure de Mécanique de Marseille, Technop?le de Chateau Gombert, 13451, Marseille cedex 20, France 3. Laboratoire de Physique et Mécanique des Matériaux, URA CNRS 1215, I.S.G.M.P., Ile du Saulcy, 57045, Metz cedex 01, France
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Abstract: | Summary Various sorts of asymptotic-numerical methods have been propsed in the literature: the reduced basis technique, direct computation
of series or the use of Padé approximants. The efficiency of the method may also depend on the chosen path parameter, on the
order of truncature and on alternative parameters. In this paper, we compare the three classes of asymptotic-numerical method,
with a view to define the “best” numerical strategy. |
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