Working Paper Article Version 1 This version is not peer-reviewed

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.

Journal reference: Symmetry 2020, 12, 1600
DOI: 10.3390/sym12101600

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.

Subject Areas

asymptotic methods; approximants; critical pounts; critical index; interpolation

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