Explicit symplectic integrators for solving non-separable Hamiltonians

2006/08/03 by Siu A. Chin, Chin, Siu A. · 1 citation
Mathematics · #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.physics/0608043

Abstract

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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