Exact evolution of time-reversible symplectic integrators and their phase error for the harmonic oscillator
Mathematical Physics
2009-11-10 v2 math.MP
Computational Physics
Abstract
The evolution of any factorized time-reversible symplectic integrators, when applied to the harmonic oscillator, can be exactly solved in a closed form. The resulting modified Hamiltonians demonstrate the convergence of the Lie series expansions. They are also less distorted than modified Hamiltonian of non-reversible algorithms. The analytical form for the modified angular frequency can be used to assess the phase error of any time-reversible algorithm.
Keywords
Cite
@article{arxiv.math-ph/0408004,
title = {Exact evolution of time-reversible symplectic integrators and their phase error for the harmonic oscillator},
author = {Siu A. Chin and Sante R. Scuro},
journal= {arXiv preprint arXiv:math-ph/0408004},
year = {2009}
}
Comments
Submitted to Phys. Lett. A, Six Pages two Columns