ALGEBRAIC SELF-SIMILAR RENORMALIZATION IN THE THEORY OF CRITICAL PHENOMENA

Citation
S. Gluzman et Vi. Yukalov, ALGEBRAIC SELF-SIMILAR RENORMALIZATION IN THE THEORY OF CRITICAL PHENOMENA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(4), 1997, pp. 3983-3999
Citations number
31
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
4
Year of publication
1997
Pages
3983 - 3999
Database
ISI
SICI code
1063-651X(1997)55:4<3983:ASRITT>2.0.ZU;2-M
Abstract
We consider the method of self-similar renormalization for calculating critical temperatures and critical indices. An optimized variant of t he method for an effective summation of asymptotic series is suggested and illustrated by several different examples. The advantage of the m ethod is in combining simplicity with high accuracy.