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Volumn 95, Issue 2, 2003, Pages 325-336

Global modified Hamiltonian for constrained symplectic integrators

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EID: 0042417247     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-002-0428-7     Document Type: Article
Times cited : (11)

References (15)
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    • Benettin, G., Giorgilli, A.: On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms, J. Statist. Phys. 74, 1117-1143 (1994)
    • (1994) J. Statist. Phys. , vol.74 , pp. 1117-1143
    • Benettin, G.1    Giorgilli, A.2
  • 3
    • 0013460577 scopus 로고    scopus 로고
    • Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations
    • Springer-Verlag
    • Hairer, E., Lubich, Ch., Wanner, G.: Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations, Springer Ser. Comput. Math. 31, Springer-Verlag, 2002
    • (2002) Springer Ser. Comput. Math. , vol.31
    • Hairer, E.1    Lubich, Ch.2    Wanner, G.3
  • 4
    • 0001449111 scopus 로고    scopus 로고
    • Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, 2nd ed.
    • Springer-Verlag
    • Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, 2nd ed., Springer Ser. Comput. Math. 14, Springer-Verlag, 1996
    • (1996) Springer Ser. Comput. Math. , vol.14
    • Hairer, E.1    Wanner, G.2
  • 7
    • 0000545837 scopus 로고    scopus 로고
    • Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems
    • Jay, L.: Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems, SIAM J. Numer. Anal. 33, 368-387 (1996)
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 368-387
    • Jay, L.1
  • 8
    • 0041750044 scopus 로고
    • Elementarmathematik vom höheren Standpunkte aus, 4. Aufl.
    • Verlag von Julius Springer, Berlin
    • Klein, F.: Elementarmathematik vom höheren Standpunkte aus, 4. Aufl., Grundlehren XIV, Verlag von Julius Springer, Berlin, 1933
    • (1933) Grundlehren , vol.14
    • Klein, F.1
  • 9
    • 0011615763 scopus 로고
    • Canonical Runge-Kutta methods
    • Lasagni, F.M.: Canonical Runge-Kutta methods, ZAMP 39, 952-953 (1988)
    • (1988) ZAMP , vol.39 , pp. 952-953
    • Lasagni, F.M.1
  • 10
    • 0000438567 scopus 로고
    • Equivariant constrained symplectic integration
    • McLachlan, R.I., Scovel, C.: Equivariant constrained symplectic integration, J. Nonlinear Sci. 5, 233-256 (1995)
    • (1995) J. Nonlinear Sci. , vol.5 , pp. 233-256
    • McLachlan, R.I.1    Scovel, C.2
  • 12
    • 0000761544 scopus 로고
    • Momentum conserving symplectic integrators
    • Reich, S.: Momentum conserving symplectic integrators, Phys. D 76, 375-383 (1994)
    • (1994) Phys. D , vol.76 , pp. 375-383
    • Reich, S.1
  • 13
    • 0031493991 scopus 로고    scopus 로고
    • On higher-order semi-explicit symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems
    • Reich, S.: On higher-order semi-explicit symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems, Numer. Math. 76, 231-247 (1997)
    • (1997) Numer. Math. , vol.76 , pp. 231-247
    • Reich, S.1
  • 15
    • 4243635078 scopus 로고
    • Lie-Poisson integrators for rigid body dynamics in the solar system
    • Touma, J., Wisdom, J.: Lie-Poisson integrators for rigid body dynamics in the solar system, Astron. J. 107, 1189-1202 (1994)
    • (1994) Astron. J. , vol.107 , pp. 1189-1202
    • Touma, J.1    Wisdom, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.