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

Journal of Physics A: Mathematical and General

Volumn 39, Issue 42, 2006, Pages 13225-13235

  Hairer, Ernst ^a   Vilmart, Gilles ^a,b  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947244421     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/42/003     Document Type: Article

References (9)

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2. Chartier P, Hairer E and Vilmart G 2006 Numerical integrators based on modified differential equations Math. Comput. to appear
3. Fassò F 2003 Comparison of splitting algorithm for the rigid body J. Comput. Phys. 189 527-38
4. Fassò F, Giacobbe A and Sansonetto N 2005 Periodic flows, rank-two Poisson structures, and nonholonomic mechanics Regular Chaotic Dyn. 10 267-84
5. Hairer E, Lubich C and Wanner G 2006 Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics vol 31) 2nd edn (Berlin: Springer)
6. Leimkuhler B and Reich S 2004 Simulating Hamiltonian Dynamics (Cambridge Monographs on Applied and Computational Mathematics vol 14) (Cambridge: Cambridge University Press)
7. Lewis D and Simo J C 1996 Conserving algorithms for the n-dimensional rigid body Fields Inst. Commun. 10 121-39
8. McLachlan R I and Zanna A 2005 The discrete Moser-Veselov algorithm for the free rigid body, revisited Found. Comput. Math. 5 87-123
9. Moser J and Veselov A P 1991 Discrete versions of some classical integrable systems and factorization of matrix polynomials Commun. Math. Phys. 139 217-43