Energy conserving nonholonomic integrators
数值分析
2025-10-20 v2 数值分析
微分几何
摘要
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.
关键词
引用
@article{arxiv.math/0209314,
title = {Energy conserving nonholonomic integrators},
author = {Jorge Cortes},
journal= {arXiv preprint arXiv:math/0209314},
year = {2025}
}
备注
10 pages, no figures. To appear in Discrete and Continuous Dynamical Systems