How to regularize a symplectic-energy-momentum integrator

Details How to regularize a symplectic-energy-momentum integrator How to regularize a symplectic-energy-momentum integrator

2005-07-22

arxiv.org/abs/math/0507483v1

Mathematics

Numerical Analysis

17 pages, see http://rose-hulman.edu/~shibberu/DTH_Dynamics/DTH_Dynamics.htm

Scientific paper

We identify ghost trajectories of symplectic-energy-momentum (SEM) integration and show that the ghost trajectories are not time reversible. We explain how SEM integration can be regularized, in a SEM preserving manner, so that it is time reversible. We describe an algorithm for implementing the regularized SEM integrator. Simulation results for the pendulum are given. Coordinate invariance of the regularized SEM integrator is briefly discussed.

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