Is Symplectic-Energy-Momentum Integration Well-Posed?

Details Is Symplectic-Energy-Momentum Integration Well-Posed? Is Symplectic-Energy-Momentum Integration Well-Posed?

2006-08-04

arxiv.org/abs/math-ph/0608016v1

Physics

Mathematical Physics

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

Scientific paper

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.

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