Abstract

TSELIOS, Kostas  and  SIMOS, T. E.. Optimized fifth order symplectic integrators for orbital problems. Rev. mex. astron. astrofis [online]. 2013, vol.49, n.1, pp.11-24. ISSN 0185-1101.

In this paper an optimized fifth algebraic order symplectic integrator is produced. The development of the new scheme is based: (1) on a new set of conditions for symplectic k-step schemes with order up to five and (2) on the minimum error. The numerical results show the efficiency of the proposed method.

Keywords : methods [data analysis]; methods [miscellaneous]; methods [numerical].