Total Variation and Variational Symplectic-Energy-Momentum integrators

Details Total Variation and Variational Symplectic-Energy-Momentum integrators Total Variation and Variational Symplectic-Energy-Momentum integrators

2001-09-23

arxiv.org/abs/hep-th/0109178v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 0 figure

Scientific paper

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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