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Volumn 30, Issue 3, 1997, Pages 1887-1892

Hamiltonian systems and symplectic integrators

Author keywords

Conservation of energy; Hamiltonian systems; Runge Kutta type methods; Symplectic integrators; Symplectic stability

Indexed keywords


EID: 0011813790     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00151-X     Document Type: Article
Times cited : (3)

References (12)
  • 4
    • 0011808926 scopus 로고
    • Reducibility and characterization of symplectic Runge-Kutta methods
    • GÖRTZ, P. & SCHERER, R., Reducibility and characterization of symplectic Runge-Kutta methods, ETNA 2, 194-204 (1994).
    • (1994) ETNA , vol.2 , pp. 194-204
    • Görtz, P.1    Scherer, R.2
  • 5
    • 0000932450 scopus 로고
    • Unconditionally stable methods for second order differential equations
    • HAIRER, E., Unconditionally stable methods for second order differential equations, Numer. Math. 32, 373-379 (1979).
    • (1979) Numer. Math. , vol.32 , pp. 373-379
    • Hairer, E.1
  • 6
    • 0023366337 scopus 로고
    • Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solutions
    • VAN DER HOUWEN, P. & SOMMEIJER, B. P., Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solutions, SIAM J. Numer. Anal. 24, 595-617 (1987).
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 595-617
    • Van Der Houwen, P.1    Sommeijer, B.P.2
  • 7
    • 0000688555 scopus 로고
    • Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems
    • VAN DER HOUWEN, P. & SOMMEIJER, B. P., Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems, SIAM J. Numer. Anal. 26, 414-429 (1989).
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 414-429
    • Van Der Houwen, P.1    Sommeijer, B.P.2
  • 8
    • 34249766017 scopus 로고
    • Symplectic integration of Hamiltonian wave equations
    • MCLACHLAN, R. I., Symplectic integration of Hamiltonian wave equations, Numer. Math. 66, 465-492 (1994).
    • (1994) Numer. Math. , vol.66 , pp. 465-492
    • Mclachlan, R.I.1
  • 9
    • 0346653215 scopus 로고
    • The accuracy of symplectic integrators
    • McLACHLAN, R. I. & ATELA, P., The accuracy of symplectic integrators, Nonlinearity 5, 541-562 (1992).
    • (1992) Nonlinearity , vol.5 , pp. 541-562
    • Mclachlan, R.I.1    Atela, P.2
  • 10
    • 0025249534 scopus 로고
    • Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations
    • QIN, M. Z. & ZHANG, M. Q., Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations, Computers Math. Applic. 9, 51-62 (1990).
    • (1990) Computers Math. Applic. , vol.9 , pp. 51-62
    • Qin, M.Z.1    Zhang, M.Q.2
  • 11
    • 0020798563 scopus 로고
    • A canonical integration technique
    • RUTH, R. D., A canonical integration technique, IEEE Trans. Nucl. Sci., NS-30, 2669-2671 (1983).
    • (1983) IEEE Trans. Nucl. Sci. , vol.NS-30 , pp. 2669-2671
    • Ruth, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.