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

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

Nov 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004newa...10...31a&link_type=abstract

New Astronomy, Volume 10, Issue 1, p. 31-37.

Astronomy and Astrophysics

Astronomy

3

Methods: Numerical, Dispersion-Fitting, Dissipation-Fitting, Orbital Problems, Runge-Kutta Methods, Explicit Methods

Scientific paper

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.
Active Member of the European Academy of Sciences and Arts.

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