80 citations · 601 across the 30 of their papers we have counts for
31 papers
Optimized Self-Similar Borel Summation
S. Gluzman, V. I. Yukalov
The method of Fractional Borel Summation is suggested in conjunction with self-similar factor approximants. The method used for extrapolating asymptotic expansions at small variabl…
Methods of Retrieving Large-Variable Exponents
V. I. Yukalov, S. Gluzman
Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following methods are considered…
Self-similarly corrected Pade approximants for nonlinear equations
S. Gluzman, V. I. Yukalov
We consider the problem of finding approximate analytical solutions for nonlinear equations typical of physics applications. The emphasis is on the modification of the method of Pa…
Critical indices from self-similar root approximants
S. Gluzman, V. I. Yukalov
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 b…
Additive self-similar approximants
S. Gluzman, V. I. Yukalov
A novel type of approximants is introduced, being based on the ideas of self-similar approximation theory. The method is illustrated by the examples possessing the structure typica…
Self-Similarly Corrected Pade Approximants for the Indeterminate Problem
Simon Gluzman, Vyacheslav I. Yukalov
A method is suggested for treating the well-known deficiency in the use of Pade approximants that are well suited for approximating rational functions, but confront problems in app…