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

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Published in Journal of Physics. A, Mathematical and General. 2006, vol. 39, no. 42, p. 13225-13235
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 bodyPreprocessed vector field integratorGeometric numerical integrationDiscrete Moser-Veselov algorithm
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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. https://archive-ouverte.unige.ch/unige:12110

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Deposited on : 2010-10-15

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