Is Symplectic-Energy-Momentum Integration Well-Posed?
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We provide new existence and uniqueness results for the discrete-time Hamilton (DTH) equations of a symplectic-energy-momentum (SEM) integrator. In particular, we identify points in extended-phase space where the DTH equations of SEM integration have no solution for arbitrarily small time steps. We use the nonlinear pendulum to illustrate the main ideas.
Cite
@article{arxiv.math-ph/0608016,
title = {Is Symplectic-Energy-Momentum Integration Well-Posed?},
author = {Yosi Shibberu},
journal= {arXiv preprint arXiv:math-ph/0608016},
year = {2007}
}
Comments
24 pages, see http://www.rose-hulman.edu/~shibberu/DTH_Dynamics/DTH_Dynamics.htm