Ernst Hairer 1 and Gilles Vilmart 1,2
1
University of Geneva, Switzerland
2
INRIA Rennes, France
Journal of Physics A: Mathematical and General Create an alert RSS this journal
Ernst Hairer and Gilles Vilmart 2006 J. Phys. A: Math. Gen. 39 13225
The discrete Moser–Veselov algorithm is an integrable discretization of the equations of motion for a 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 negligible overhead but considerably improves the accuracy.
Issue 42 (20 October 2006)
Received 19 May 2006
,
in final form 30 August 2006
Published 4 October 2006
Ernst Hairer and Gilles Vilmart 2006 J. Phys. A: Math. Gen. 39 13225
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