A counterexample showing the semi-explicit Lie-Newmark algorithm is not variational

Details A counterexample showing the semi-explicit Lie-Newmark algorithm is not variational A counterexample showing the semi-explicit Lie-Newmark algorithm is not variational

2010-05-18

arxiv.org/abs/1005.3078v2

Mathematics

Numerical Analysis

11 pages, 5 figures

Scientific paper

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.

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