The inverse problem of the calculus of variations for discrete systems
Differential Geometry
2018-05-09 v1 Mathematical Physics
math.MP
Abstract
We develop a geometric version of the inverse problem of the calculus of variations for discrete mechanics and constrained discrete mechanics. The geometric approach consists of using suitable Lagrangian and isotropic submanifolds. We also provide a transition between the discrete and the continuous problems and propose variationality as an interesting geometric property to take into account in the design and computer simulation of numerical integrators.
Keywords
Cite
@article{arxiv.1708.04123,
title = {The inverse problem of the calculus of variations for discrete systems},
author = {María Barbero-Liñán and Marta Farré Puiggalí and Sebastián Ferraro and David Martín de Diego},
journal= {arXiv preprint arXiv:1708.04123},
year = {2018}
}
Comments
30 pages