Extrapolation of Symplectic Integrators

Details Extrapolation of Symplectic Integrators Extrapolation of Symplectic Integrators

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..75..149b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 75, Issue 2, p. 149-161 (1999).

Astronomy and Astrophysics

Astronomy

3

Initial Value Problems, Hamiltonian Systems, Symplectic Integrators, Extrapolation Technique, Initial Value Problems, Hamiltonian Systems, Symplectic Integrators, Extrapolation Technique

Scientific paper

We build high order numerical methods for solving differential equations by applying extrapolation techniques to a Symplectic Integrator of order 2n. We show that, in general, the qualitative properties are preserved at least up to order 4n+1. This new procedure produces much more efficient methods than those obtained using the Yoshida composition technique.

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