From Asymptotic Series to Self-Similar Approximants
V. I. YukalovBogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, RussiaE. P. YukalovaLaboratory of Information Technologies, Joint Institute for Nuclear Research, 141980 Dubna, Russia
2021en
ABI
Abstract
The review presents the development of an approach of constructing approximate solutions to complicated physics problems, starting from asymptotic series, through optimized perturbation theory, to self-similar approximation theory. The close interrelation of underlying ideas of these theories is emphasized. Applications of the developed approach are illustrated by typical examples demonstrating that it combines simplicity with good accuracy.
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Cited by 30 references