A counterexample showing the semi-explicit Lie-Newmark algorithm is not variational
Numerical Analysis
2010-06-01 v2
Abstract
This paper presents a counterexample to the conjecture that the semi-explicit Lie-Newmark algorithm is variational. As a consequence the Lie-Newmark method is not well-suited for long-time simulation of rigid body-type mechanical systems. The counterexample consists of a single rigid body in a static potential field, and can serve as a test of the variational nature of other rigid-body integrators.
Cite
@article{arxiv.1005.3078,
title = {A counterexample showing the semi-explicit Lie-Newmark algorithm is not variational},
author = {Nawaf Bou-Rabee and Giulia Ortolan and Alessandro Saccon},
journal= {arXiv preprint arXiv:1005.3078},
year = {2010}
}
Comments
11 pages, 5 figures