A Tenth Order Symplectic Runge-Kutta-Nyström Method

Details A Tenth Order Symplectic Runge-Kutta-Nyström Method A Tenth Order Symplectic Runge-Kutta-Nyström Method

Aug 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..74..223t&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 74, Issue 4, p. 223-230 (1999).

Astronomy and Astrophysics

Astronomy

13

Runge&Ndash, Kutta&Ndash, Nystr&Ouml, M Methods, Hamiltonian Problems, Symplectic Methods

Scientific paper

A tenth order explicit symmetric and in consequence symplectic Runge-Kutta-Nyström method is presented here. We derive the order conditions needed and solve them for the parameters of the method. Numerical results indicate the superiority of the new method compared to the other high order symplectic methods appeared in the literature until now.

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