Critical indices from self-similar root approximants
Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia
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Accepted: 1 December 2017
Published online: 21 December 2017
The method of self-similar root approximants has earlier been shown to provide accurate interpolating formulas for functions for which small-variable expansions are given and the behaviour of the functions at large variables is known. Now this method is generalized for the purpose of extrapolating small-variable expansions to the region of finite and large variables, where the sought function exhibits critical behaviour. The procedure of calculating critical indices is formulated and illustrated by a variety of physical problems.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017