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Volumn 107, Issue 2, 1999, Pages 257-274

Symmetric schemes, time reversal symmetry and conservative methods for Hamiltonian systems

Author keywords

Boundary value method; Hamiltonian problem; Symmetric multistep method

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; EQUIVALENCE CLASSES; INTEGRATION; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 0032659737     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00093-X     Document Type: Article
Times cited : (8)

References (12)
  • 1
    • 0040260398 scopus 로고    scopus 로고
    • Essentially symplectic boundary value methods for linear Hamiltonian systems
    • Brugnano L. Essentially symplectic boundary value methods for linear Hamiltonian systems. J. Comput. Math. 19:1997;233-254.
    • (1997) J. Comput. Math. , vol.19 , pp. 233-254
    • Brugnano, L.1
  • 2
    • 0040802660 scopus 로고    scopus 로고
    • Is symplecticness sufficient for approximating Hamiltonian systems?
    • L. Brugnano, Is symplecticness sufficient for approximating Hamiltonian systems? Non-linear Differential Equations Appl. 3, 1-2 (1997) 39-48.
    • (1997) Non-linear Differential Equations Appl. , vol.3 , Issue.1-2 , pp. 39-48
    • Brugnano, L.1
  • 3
    • 0039076592 scopus 로고    scopus 로고
    • Block boundary value methods for linear Hamiltonian systems
    • Brugnano L., Trigiante D. Block boundary value methods for linear Hamiltonian systems. Appl. Math. Comput. 81:1997;49-68.
    • (1997) Appl. Math. Comput. , vol.81 , pp. 49-68
    • Brugnano, L.1    Trigiante, D.2
  • 5
    • 0032372573 scopus 로고    scopus 로고
    • Error growth in the numerical integration of periodic orbits by multistep methods, with application to reversible systems
    • Cano B., Sanz-Serna J.M. Error growth in the numerical integration of periodic orbits by multistep methods, with application to reversible systems. IMA J. Numer. Anal. 18:1998;57-75.
    • (1998) IMA J. Numer. Anal. , vol.18 , pp. 57-75
    • Cano, B.1    Sanz-Serna, J.M.2
  • 6
    • 11044230975 scopus 로고
    • A special stability problem for linear multistep methods
    • Dahlquist G. A special stability problem for linear multistep methods. BIT. 3:1963;27-43.
    • (1963) BIT , vol.3 , pp. 27-43
    • Dahlquist, G.1
  • 7
    • 0001580611 scopus 로고
    • Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods
    • Eirola T., Sanz-Serna J.M. Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods. Numer. Math. 61:1992;281-290.
    • (1992) Numer. Math. , vol.61 , pp. 281-290
    • Eirola, T.1    Sanz-Serna, J.M.2
  • 8
    • 0001127934 scopus 로고    scopus 로고
    • Numerical integrators that preserve symmetries and reversing symmetries
    • McLachlan R.I., Quispel G.R., Turner G.S. Numerical integrators that preserve symmetries and reversing symmetries. SIAM J. Numer. Anal. 35(2):1998;586-599.
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.2 , pp. 586-599
    • McLachlan, R.I.1    Quispel, G.R.2    Turner, G.S.3
  • 11
    • 0038041190 scopus 로고
    • The Canonicity of mappings generated by Runge-Kutta type methods when integrating the systems ẍ=-∂ U / ∂ x
    • Suris Yu.B. The Canonicity of mappings generated by Runge-Kutta type methods when integrating the systems. ẍ=-∂ U / ∂ x U.S.S.R. Comput. Maths. Math. Phys. 29(1):1989;138-144.
    • (1989) U.S.S.R. Comput. Maths. Math. Phys. , vol.29 , Issue.1 , pp. 138-144
    • Suris, Yu.b.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.