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The use of Padé approximation to eliminate nonuniformities of asymptotic expansions

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Abstract

Nonuniformities of asymptotic expansions seriously restrict their applicability [1–4]. The various methods used to overcome this difficulty (Lighthill [1], renormalizations [2, 3], generalized summation [2]) do not always succeed. In addition, it is helpful to have alternative approaches. It is shown in the present paper by some examples that Padé rearrangement of the perturbation series can eliminate the nonuniformities of asymptotic expansions.

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Authors and Affiliations

  1. Dnepropetrovsk

    I. V. Andrianov

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  1. I. V. Andrianov
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Translated from Izvestlya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, 166–167, May–June, 1984.

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Andrianov, I.V. The use of Padé approximation to eliminate nonuniformities of asymptotic expansions. Fluid Dyn 19, 484–486 (1984). https://doi.org/10.1007/BF01093917

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  • DOI: https://doi.org/10.1007/BF01093917

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