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

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  • 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.
    Mathematics Subject Classification: Primary: 40G10; Secondary: 37M05.


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