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Keywords = DLog additive approximants

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32 pages, 499 KiB  
Article
Padé and Post-Padé Approximations for Critical Phenomena
by Simon Gluzman
Symmetry 2020, 12(10), 1600; https://doi.org/10.3390/sym12101600 - 25 Sep 2020
Cited by 16 | Viewed by 5874
Abstract
We discuss and apply various direct extrapolation methods for calculation of the critical points and indices from the perturbative expansions my means of Padé-techniques and their various post-Padé extensions by means of root and factor approximants. Factor approximants are applied to finding critical [...] Read more.
We discuss and apply various direct extrapolation methods for calculation of the critical points and indices from the perturbative expansions my means of Padé-techniques and their various post-Padé extensions by means of root and factor approximants. Factor approximants are applied to finding critical points. Roots are employed within the context of finding critical index. Additive self-similar approximants are discussed and DLog additive recursive approximants are introduced as their generalization. They are applied to the problem of interpolation. Several examples of interpolation are considered. Full article
(This article belongs to the Special Issue Asymptotic Methods in the Mechanics and Nonlinear Dynamics)
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