The Local Description of Discrete Mechanics

@article{Marrero2015TheLD,
  title={The Local Description of Discrete Mechanics},
  author={J. C. Marrero and D. M. D. Diego and E. Mart́ınez},
  journal={arXiv: Numerical Analysis},
  year={2015},
  pages={285-317}
}
  • J. C. Marrero, D. M. D. Diego, E. Mart́ınez
  • Published 2015
  • Mathematics, Physics
  • arXiv: Numerical Analysis
  • In this paper, we introduce local expressions for discrete Mechanics. To apply our results simultaneously to several interesting cases, we derive these local expressions in the framework of Lie groupoids, following the program proposed by Alan Weinstein (Fields Inst Commun 7:207–231, 1996). To do this, we will need some results on the geometry of Lie groupoids, as, for instance, the construction of symmetric neighborhoods or the existence of local bisections. These local descriptions will be… CONTINUE READING

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