A dispersive-fitted and dissipative-fitted explicit Runge-Kutta method for the numerical solution of orbital problems

被引：27

作者：

Anastassi, ZA ^{[1
]}

Simos, TE ^{[1
]}

机构：

[1] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, GR-22100 Tripolis, Greece

来源：

NEW ASTRONOMY | 2004年 / 10卷 / 01期

关键词：

methods : numerical; dispersion-fitting; dissipation-fitting; orbital problems; Runge-Kutta methods; explicit methods;

D O I：

10.1016/j.newast.2004.04.005

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present a new explicit Runge-Kutta method of fourth algebraic order with minimum error of the fifth algebraic order (whose limit is zero, when the step-length tends to zero) and infinite order of dispersion and dissipation. The numerical results of a wide range of methods when these are applied to well-known periodic orbital problems show the efficiency of the new constructed method. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：31 / 37

页数：7

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