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- Title
From Asymptotic Series to Self-Similar Approximants.
- Authors
Yukalov, Vyacheslav I.; Yukalova, Elizaveta P.
- 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.
- Subjects
PERTURBATION theory; HAMILTON'S equations; FREE energy (Thermodynamics); OPTIMAL control theory; MATHEMATICAL optimization
- Publication
Physics (2624-8174), 2021, Vol 3, Issue 4, p829
- ISSN
2624-8174
- Publication type
Article
- DOI
10.3390/physics3040053