Abstract
Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following methods are considered: diff-log Padé summation, self-similar factor approximation, self-similar diff-log summation, self-similar Borel summation, and self-similar Borel–Leroy summation. Several typical problems are treated. The comparison of the results shows that all these methods provide close estimates for the large-variable exponents. The reliable estimates are obtained when different methods of summation are compatible with each other.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference35 articles.
1. Critical Phenomena in Natural Sciences;Sornette,2003
2. Manuel d’Economie Politique;Pareto,1927
3. Theory of Zipf’s Law and Beyond;Saichev,2010
4. Qualitative Methods in Quantum Theory;Migdal,2018
5. A neural network scheme for recovering scattering obstacles with limited phaseless far-field data;Yin;J. Comput. Phys.,2020
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