Explicit symplectic integrators for solving non-separable Hamiltonians

Details Explicit symplectic integrators for solving non-separable Hamiltonians Explicit symplectic integrators for solving non-separable Hamiltonians

2006-08-03

arxiv.org/abs/physics/0608043v2

Physics

Computational Physics

8 pages, 3 figures

Scientific paper

By exploiting the error functions of explicit symplectic integrators for
solving separable Hamiltonians, I show that it is possible to develop explicit,
time-reversible symplectic integrators for solving non-separable Hamiltonians
of the product form. The algorithms are unusual in that they of fractional
order.

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