Extrapolation of perturbation-theory expansions by self-similar approximants

被引：16
|
作者：
Gluzman, S. [1 ]
Yukalov, V. I. [1 ]
机构：
[1] Joint Nucl Res Inst, Bogolubov Lab Theoret Phys, Dubna 141980, Russia
来源：
EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2014年 / 25卷
基金：
俄罗斯基础研究基金会;
关键词：
Approximation with constraints; Approximation by arbitrary nonlinear expressions; Approximation to limiting values; Function-theoretic methods; Functional analytic methods of summability; INTERACTING BOSE-GAS; EINSTEIN CONDENSATION TEMPERATURE; HARD-SPHERE; POWER-SERIES; STATISTICAL-MECHANICS; FLUCTUATION PRESSURE; POLYMER-CHAIN; STATE; TRANSFORMS; MEMBRANE;
D O I：
10.1017/S0956792514000163
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their use in different problems of applied mathematics is illustrated. Self-similar approximants are shown to constitute a powerful tool for extrapolating asymptotic expansions of different natures.
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页码：595 / 628
页数：34
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