Nonholonomic Newmark method
Numerical Analysis
2022-02-01 v1 Numerical Analysis
Mathematical Physics
Differential Geometry
math.MP
Abstract
Using the nonholonomic exponential map, we generalize the well-known family of Newmark methods for nonholonomic systems. We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy behaviour as described in [16] is lost. We observe that the composition of two Newmark methods is able to produce good energy behaviour on this test problem.
Keywords
Cite
@article{arxiv.2201.13162,
title = {Nonholonomic Newmark method},
author = {Alexandre Anahory Simões and Sebastián J. Ferraro and Juan Carlos Marrero and David Martín de Diego},
journal= {arXiv preprint arXiv:2201.13162},
year = {2022}
}
Comments
20 pages, 5 figures