Systematic perturbation calculation of integrals with applications to physics -: art. no. 016704

被引：13

作者：

Amore, P

Aranda, A

Sáenz, R

Fernández, FM

机构：

[1] Univ Colima, Fac Ciencias, Colima, Mexico

[2] Natl Univ La Plata, CONICET, INIFTA, RA-1900 La Plata, Argentina

来源：

PHYSICAL REVIEW E | 2005年 / 71卷 / 01期

关键词：

Classical oscillators - Divergent series - Elementary functions - Systematic perturbations;

D O I：

10.1103/PhysRevE.71.016704

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

In this paper we generalize and improve a method for calculating the period of a classical oscillator and other integrals of physical interest, which was recently developed by some of the authors. We derive analytical expressions that prove to be more accurate than those commonly found in the literature, and test the convergence of the series produced by the approach.

引用

页数：7

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