Energy conserving nonholonomic integrators
Numerical Analysis
2025-10-20 v2 Numerical Analysis
Differential Geometry
Abstract
We address the problem of constructing numerical integrators for nonholonomic Lagrangian systems that enjoy appropriate discrete versions of the geometric properties of the continuous flow, including the preservation of energy. Building on previous work on time-dependent discrete mechanics, our approach is based on a discrete version of the Lagrange-d'Alembert principle for nonautonomous systems.
Keywords
Cite
@article{arxiv.math/0209314,
title = {Energy conserving nonholonomic integrators},
author = {Jorge Cortes},
journal= {arXiv preprint arXiv:math/0209314},
year = {2025}
}
Comments
10 pages, no figures. To appear in Discrete and Continuous Dynamical Systems