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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2016

Comparison between Borel-Padé summation and factorial series, as time integration methods

Résumé

We compare the performance of two algorithms of computing the Borel sum of a time power series. The first one uses Padé approximants in Borel space, followed by a Laplace transform. The second is based on factorial series. These algorithms are incorporated in a numerical scheme for time integration of differential equations.
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hal-02086772 , version 1 (08-04-2019)

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Ahmad Deeb, Aziz Hamdouni, Dina Razafindralandy. Comparison between Borel-Padé summation and factorial series, as time integration methods. Discrete and Continuous Dynamical Systems - Series S, 2016, 9 (2), pp.393-408. ⟨10.3934/dcdss.2016003⟩. ⟨hal-02086772⟩
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