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arXiv · hep-th/0109178

Total Variation and Variational Symplectic-Energy-Momentum integrators

Jing-Bo Chen·Han-Ying Guo·Ke Wu
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Abstract

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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Jing-Bo Chen, Han-Ying Guo, Ke Wu. 2001-09-23. Total Variation and Variational Symplectic-Energy-Momentum integrators. https://arxiv.org/abs/hep-th/0109178

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