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
收藏
页码：31 / 37
页数：7
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