Fourth-order Symplectic Integration*

نویسنده

  • RONALD D. RUTH
چکیده

In this paper we present an explicit fourth-order method for the integration of Hamilton’s Equations. This method preserves the property that the time evolution of such a system yields a canonical transformation from the initial conditions to the final state. That is, the integration step is an explicit symplectic map. Although the result is first derived for a specific type of Hamiltonian, it is shown to be quite general. In particular, the results can be applied to any Lie group. Submitted to Physica D * Work supported by the Department of Energy, contract DE-AC03-76SF00515.

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تاریخ انتشار 1989