The inverse problem of the calculus of variations for discrete systems

Autor:	Barbero-Liñán, María, Puiggalí, Marta Farré, Ferraro, Sebastián, de Diego, David Martín
Rok vydání:	2017
Předmět:	Mathematics - Differential Geometry Mathematical Physics 37M15 49N45 53D12 58E30 65P10 70F25
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/aab546
Popis:	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. Comment: 30 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1708.04123 Zobrazit plný text záznamu View this record from Arxiv