# Extrapolation of perturbation-theory expansions by self-similar approximants

@article{Gluzman2014ExtrapolationOP, title={Extrapolation of perturbation-theory expansions by self-similar approximants}, author={Simon Gluzman and Vyacheslav I. Yukalov}, journal={European Journal of Applied Mathematics}, year={2014}, volume={25}, pages={595 - 628} }

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.

## 20 Citations

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