An optimized Runge-Kutta method for the solution of orbital problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:175

Article; Proceedings Paper

Anastassi, ZA ; Simos, TE

关键词: dispersion;    dissipation;    orbital problems;    Runge-Kutta;    explicit methods;   

DOI  :  10.1016/j.cam.2004.06.004

来源: Elsevier

【 摘 要 】

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

【 授权许可】

Free