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Padé and Post-Padé Approximations for Critical Phenomena
Version 1
: Received: 20 September 2020 / Approved: 21 September 2020 / Online: 21 September 2020 (04:09:16 CEST)
A peer-reviewed article of this Preprint also exists.
Gluzman, S. Padé and Post-Padé Approximations for Critical Phenomena. Symmetry 2020, 12, 1600. Gluzman, S. Padé and Post-Padé Approximations for Critical Phenomena. Symmetry 2020, 12, 1600.
Abstract
We review extrapolation methods for calculation of critical points and indices from the perturbative expansions by means of Pad\'{e}-based techniques and their various post-Pad\'{e} 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.
Keywords
asymptotic methods; approximants; critical pounts; critical index; interpolation
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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