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Volumn 5, Issue 1, 2005, Pages 87-123

The discrete Moser-Veselov algorithm for the free rigid body, revisited

Author keywords

Backward error analysis; Integrable systems; Rigid body dynamics

Indexed keywords

BACKWARD ERROR ANALYSIS; DISCRETE ALGORITHMS; INTEGRABLE SYSTEMS; NUMERICAL INTEGRATIONS; ORDERS OF MAGNITUDE; RIGIDBODY DYNAMICS; SECOND ORDERS; VECTOR FIELDS;

EID: 24944435508     PISSN: 16153375     EISSN: 16153383     Source Type: Journal    
DOI: 10.1007/s10208-004-0118-6     Document Type: Article
Times cited : (21)

References (14)
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    • (1992) Mem. Amer. Math. Soc. , vol.100 , Issue.479 , pp. 1-101
    • Deift, P.1    Li, L.-C.2    Tomei, C.3
  • 6
    • 0003835647 scopus 로고    scopus 로고
    • Springer Series in Computational Mathematics, No. 31, Springer-Verlag, Berlin
    • E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration, Springer Series in Computational Mathematics, No. 31, Springer-Verlag, Berlin, 2002.
    • (2002) Geometric Numerical Integration
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 9
    • 84959193128 scopus 로고    scopus 로고
    • Discrete mechanics and variational integrators
    • J. E. Marsden, and M. West, Discrete mechanics and variational integrators, Acta Numer. 10 (2001), 357-514.
    • (2001) Acta Numer. , vol.10 , pp. 357-514
    • Marsden, J.E.1    West, M.2
  • 10
    • 0033228880 scopus 로고    scopus 로고
    • Discrete Euler-Poincaré and Lie-Poisson equations
    • J. E. Marsden, S. Pekarsky, and S. Shkoller, Discrete Euler-Poincaré and Lie-Poisson equations, Nonlinearity 12 (1999), 1647-1662.
    • (1999) Nonlinearity , vol.12 , pp. 1647-1662
    • Marsden, J.E.1    Pekarsky, S.2    Shkoller, S.3
  • 11
    • 0001312358 scopus 로고
    • Explicit Lie-Poisson integration and the Euler equations
    • R. I. McLachlan, Explicit Lie-Poisson integration and the Euler equations, Phys. Rev. Lett. 71 (1993), 3043-3046.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 3043-3046
    • McLachlan, R.I.1
  • 12
    • 0000008977 scopus 로고
    • Discrete version of some classical integrable systems and factorization of matrix polynomials
    • J. Moser, and A. P. Veselov, Discrete version of some classical integrable systems and factorization of matrix polynomials, Comm. Math. Phys. 139 (1991), 217-243.
    • (1991) Comm. Math. Phys. , vol.139 , pp. 217-243
    • Moser, J.1    Veselov, A.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.