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.

引用

页码：595 / 628

页数：34

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