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Article

Padé and Post-Padé Approximations for Critical Phenomena

Materialica + Research Group, Bathurst St. 3000, Apt. 606, Toronto, ON M6B 3B4, Canada
Symmetry 2020, 12(10), 1600; https://doi.org/10.3390/sym12101600
Received: 2 September 2020 / Revised: 20 September 2020 / Accepted: 22 September 2020 / Published: 25 September 2020
(This article belongs to the Special Issue Asymptotic Methods in the Mechanics and Nonlinear Dynamics)
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. View Full-Text
Keywords: critical point; critical index; interpolation; factor approximants; root approximants; additive approximants; DLog additive approximants critical point; critical index; interpolation; factor approximants; root approximants; additive approximants; DLog additive approximants
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MDPI and ACS Style

Gluzman, S. Padé and Post-Padé Approximations for Critical Phenomena. Symmetry 2020, 12, 1600. https://doi.org/10.3390/sym12101600

AMA Style

Gluzman S. Padé and Post-Padé Approximations for Critical Phenomena. Symmetry. 2020; 12(10):1600. https://doi.org/10.3390/sym12101600

Chicago/Turabian Style

Gluzman, Simon. 2020. "Padé and Post-Padé Approximations for Critical Phenomena" Symmetry 12, no. 10: 1600. https://doi.org/10.3390/sym12101600

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