Extended RKN-type methods with minimal dispersion error for perturbed oscillators

被引：4

作者：

Fang, Yonglei ^{[2
]}

Ming, Qinghe ^{[2
]}

Wu, Xinyuan ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, State Key Lab Novel Software Technol, Nanjing 210093, Peoples R China

[2] Zaozhuang Univ, Dept Math & Informat Sci, Zaozhuang 277160, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 03期

关键词：

ERKN methods; Extended tree theory; Order conditions; Minimal dispersion error; Perturbed oscillators; KUTTA-NYSTROM METHODS; EXPLICIT ARKN METHODS; NUMEROV-TYPE METHODS; NUMERICAL-INTEGRATION; PHASE-LAG; INTERPOLANTS; 2-STEP; PAIR;

D O I：

10.1016/j.cpc.2009.11.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, extended Runge-Kutta-Nystrom-type methods with minimal dispersion error for the numerical integration of perturbed oscillators are presented, which are based on the order conditions derived by Yang et al. (H.L Yang, X.Y. Wu, X You, Y.L. Fang, Extended RKN-type methods for numerical integration of perturbed oscillators, Comput. Phys. Comm. 180 (2009) 1777-1794). The numerical stability and phase properties of the new methods are analyzed. Numerical experiments are reported in comparison with some well-known high quality codes proposed in the scientific literature. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：639 / 650

页数：12

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