From Asymptotic Series to Self-Similar Approximants
Statistical Mechanics
2021-11-02 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2111.00447,
title = {From Asymptotic Series to Self-Similar Approximants},
author = {V. I. Yukalov and E. P. Yukalova},
journal= {arXiv preprint arXiv:2111.00447},
year = {2021}
}
Comments
Latex file, 61 pages