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Volumn 38, Issue 3, 1998, Pages 439-461

Pseudo-symplectic Runge-Kutta methods

Author keywords

Hamiltonian systems; Pseudo symplectic Runge Kutta methods; Pseudo symplecticness conditions; Simplifying assumptions; Symplectic Runge Kutta methods

Indexed keywords


EID: 0007933785     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510253     Document Type: Article
Times cited : (51)

References (18)
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  • 6
    • 0000622670 scopus 로고
    • The development of variable-step symplectic integrators with application to the two-body problem
    • M. P. Calvo and J. M. Sanz-Serna, The development of variable-step symplectic integrators with application to the two-body problem, SIAM J. Sci. Comp., 14:4 (1993), pp. 936-952.
    • (1993) SIAM J. Sci. Comp. , vol.14 , Issue.4 , pp. 936-952
    • Calvo, M.P.1    Sanz-Serna, J.M.2
  • 7
    • 0003127541 scopus 로고
    • High-order symplectic Runge-Kutta-Nyström methods
    • M. P. Calvo and J. M. Sanz-Serna, High-order symplectic Runge-Kutta-Nyström methods, SIAM J. Sci. Comp., 14:5 (1993), pp. 1237-1252.
    • (1993) SIAM J. Sci. Comp. , vol.14 , Issue.5 , pp. 1237-1252
    • Calvo, M.P.1    Sanz-Serna, J.M.2
  • 9
    • 0000566698 scopus 로고
    • Backward analysis of numerical integrators and symplectic methods
    • E. Hairer, Backward analysis of numerical integrators and symplectic methods, Ann. Numer. Math., 1 (1994), pp. 107-132.
    • (1994) Ann. Numer. Math. , vol.1 , pp. 107-132
    • Hairer, E.1
  • 10
    • 0031505057 scopus 로고    scopus 로고
    • The life-span of backward error analysis for numerical integrators
    • E. Hairer and C. Lubich, The life-span of backward error analysis for numerical integrators, Numer. Math., 76 (1997), pp. 441-462.
    • (1997) Numer. Math. , vol.76 , pp. 441-462
    • Hairer, E.1    Lubich, C.2
  • 16
    • 21144471090 scopus 로고
    • Symplectic numerical methods for Hamiltonian problems
    • J. M. Sanz-Serna and M. P. Calvo, Symplectic numerical methods for Hamiltonian problems, Internat. J. Modern Physics, 4:2 (1993), pp. 385-392.
    • (1993) Internat. J. Modern Physics , vol.4 , Issue.2 , pp. 385-392
    • Sanz-Serna, J.M.1    Calvo, M.P.2
  • 18
    • 0040109314 scopus 로고
    • Construction of high order symplectic Runge-Kutta methods
    • G. Sun, Construction of high order symplectic Runge-Kutta methods, J. Comput. Math., 11 (1993), pp. 250-260.
    • (1993) J. Comput. Math. , vol.11 , pp. 250-260
    • Sun, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.