Symplectic integrators with potential derivatives to third order

Details Symplectic integrators with potential derivatives to third order Symplectic integrators with potential derivatives to third order

Mar 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011raa....11..353s&link_type=abstract

Research in Astronomy and Astrophysics, Volume 11, Issue 3, pp. 353-368 (2011).

Astronomy and Astrophysics

Astrophysics

2

Scientific paper

An operator associated with third-order potential derivatives and a force gradient operator corresponding to second-order potential derivatives are used together to design a number of new fourth-order explicit symplectic integrators for the natural splitting of a Hamiltonian into both the kinetic energy with a quadratic form of momenta and the potential energy as a function of position coordinates. Numerical simulations show that some new optimal symplectic algorithms are much better than their non-optimal counterparts in terms of accuracy of energy and position calculations.

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