%0 Journal Article
%T Is Symplectic-Energy-Momentum Integration Well-Posed?
%A Yosi Shibberu
%J Mathematics
%D 2006
%I arXiv
%X 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.
%U http://arxiv.org/abs/math-ph/0608016v1