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arXiv · 1409.1592

Extrapolation of perturbation-theory expansions by self-similar approximants

S. Gluzman·V. I. Yukalov
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Abstract

The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their use in different problems of applied mathematics is illustrated. Self-similar approximants are shown to constitute a powerful tool for extrapolating asymptotic expansions of different natures.

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BibTeXRIS

S. Gluzman, V. I. Yukalov. 2014-09-03. Extrapolation of perturbation-theory expansions by self-similar approximants. https://arxiv.org/abs/1409.1592

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