How to regularize a symplectic-energy-momentum integrator

Abstract

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.

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

References in corpus (2)

• Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators
• Discrete variational principles and Hamilton-Jacobi theory for mechanical systems and optimal control problems

Cited by in corpus (3)

• Energy-preserving Variational Integrators for Forced Lagrangian Systems
• Performance Assessment of Energy-preserving, Adaptive Time-step Variational Integrators
• Is Symplectic-Energy-Momentum Integration Well-Posed?