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arxiv: hep-th/0109178 · v1 · submitted 2001-09-23 · ✦ hep-th

Total Variation and Variational Symplectic-Energy-Momentum integrators

classification ✦ hep-th
keywords discretevariationintegratorstotalcalculusmechanicssymplectic-energy-momentumvariational
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A discrete total variation calculus with variable time steps is presented in this letter. Using this discrete variation calculus, we generalize Lee's discrete mechanics and derive variational symplectic-energy-momentum integrators by Kane, Marsden and Ortiz. The relationship among discrete total variation, Lee's discrete mechanics and Kane-Marsden-Ortiz's integrators is explored.

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