Processing Symplectic Methods for Near-Integrable Hamiltonian Systems

Details Processing Symplectic Methods for Near-Integrable Hamiltonian Systems Processing Symplectic Methods for Near-Integrable Hamiltonian Systems

Jul 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..77...17b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 77, Issue 1, p. 17-36 (2000).

Astronomy and Astrophysics

Astronomy

3

Symplectic Integrators, Processing Technique, Near-Integrable Hamiltonian Systems, Symplectic Integrators, Processing Technique, Near-Integrable Hamiltonian Systems

Scientific paper

Processing techniques are used to approximate the exact flow of near-integrable Hamiltonian systems depending on a small perturbation parameter. We study the reduction of the number of conditions for the kernel for this type of Hamiltonians and we build third, fourth and fifth order methods which are shown to be more efficient than previous algorithms for the same class of problems.

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