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English

Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body

Published inJournal of physics. A, mathematical and general, vol. 39, no. 42, p. 13225-13235
Publication date2006
Abstract

The Discrete Moser-Veselov algorithm is an integrable discretisation of the equations of motion for the free rigid body. It is symplectic and time-reversible, and it conserves all first integrals of the system. The only drawback is its low order. We present a modification of this algorithm to arbitrarily high order which has negligeable overhead but considerably improves the accuracy.

Keywords
  • Rigid body
  • Preprocessed vector field integrator
  • Geometric numerical integration
  • Discrete Moser-Veselov algorithm
Citation (ISO format)
HAIRER, Ernst, VILMART, Gilles. Preprocessed Discrete Moser-Veselov algorithm for the full dynamics of the rigid body. In: Journal of physics. A, mathematical and general, 2006, vol. 39, n° 42, p. 13225–13235. doi: 10.1088/0305-4470/39/42/003
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ISSN of the journal0305-4470
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Technical informations

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