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Volumn 34, Issue 5, 1997, Pages 1742-1760

Symplectic Finite Difference Approximations of the Nonlinear Klein-Gordon Equation

Author keywords

Finite differences; Klein Gordon equation; Symplectic approximations

Indexed keywords


EID: 0001686631     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142993243106     Document Type: Article
Times cited : (132)

References (18)
  • 2
    • 0347130374 scopus 로고
    • High order symplectic Runge-Kutta-Nystrom methods
    • M. P. CALVO AND J. M. SANZ-SERNA, High order symplectic Runge-Kutta-Nystrom methods, BIT, 32 (1992), pp. 131-142.
    • (1992) BIT , vol.32 , pp. 131-142
    • Calvo, M.P.1    Sanz-Serna, J.M.2
  • 3
    • 33746314863 scopus 로고
    • Symplectic integration of Hamiltonian systems
    • P. J. CHANNELL AND C. SCOVEL, Symplectic integration of Hamiltonian systems, Nonlinearity, 3 (1990), pp. 231-259.
    • (1990) Nonlinearity , vol.3 , pp. 231-259
    • Channell, P.J.1    Scovel, C.2
  • 8
    • 0026402823 scopus 로고
    • Jacobi iteration in implicit approximations of the wave equation
    • D. B. DUNCAN AND M. A. M. LYNCH, Jacobi iteration in implicit approximations of the wave equation, SIAM J. Numer. Anal., 28 (1991), pp. 1661-1679.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1661-1679
    • Duncan, D.B.1    Lynch, M.A.M.2
  • 9
    • 0002079274 scopus 로고
    • Analysis of four numerical schemes for a nonlinear Klein- Gordon equation
    • S. JIMENEZ AND L. VAZQUEZ, Analysis of four numerical schemes for a nonlinear Klein- Gordon equation, Appl. Math. Comput., 35 (1990), pp. 61-94.
    • (1990) Appl. Math. Comput. , vol.35 , pp. 61-94
    • Jimenez, S.1    Vazquez, L.2
  • 10
    • 0003034563 scopus 로고
    • The symplectic methods for the computation of Hamiltonian equations
    • Numerical Methods for Partial Differential Equations, Zhu You-Lan and Guo Ben-Yu, eds., Springer-Verlag, Berlin
    • F. KANG AND Q. MENG-ZHAO, The symplectic methods for the computation of Hamiltonian equations, in Numerical Methods for Partial Differential Equations, Zhu You-Lan and Guo Ben-Yu, eds., Lecture Notes in Mathematics 1297, Springer-Verlag, Berlin, 1987, pp. 1-37.
    • (1987) Lecture Notes in Mathematics , vol.1297 , pp. 1-37
    • Kang, F.1    Meng-Zhao, Q.2
  • 11
    • 34249766017 scopus 로고
    • Symplectic integration of Hamiltonian wave equations
    • R. MCLACHLAN, Symplectic integration of Hamiltonian wave equations, Numer. Math., 66 (1994), pp. 465-492.
    • (1994) Numer. Math. , vol.66 , pp. 465-492
    • McLachlan, R.1
  • 12
    • 0347991245 scopus 로고
    • The world of symplectic space
    • R. MCLACHLAN, The world of symplectic space, New Scientist, 141 (1994), pp. 32-35.
    • (1994) New Scientist , vol.141 , pp. 32-35
    • McLachlan, R.1
  • 13
    • 50549175042 scopus 로고
    • A model unified field equation
    • J. K. PERRING AND T. H. R. SKYRME, A model unified field equation, Nuclear Phys., 31 (1962), pp. 550-555.
    • (1962) Nuclear Phys. , vol.31 , pp. 550-555
    • Perring, J.K.1    Skyrme, T.H.R.2
  • 14
    • 84971897259 scopus 로고
    • Symplectic integrators for Hamiltonian problems: An overview
    • A. Iserles, ed., Cambridge University Press, Cambridge, UK
    • J. M. SANZ-SERNA, Symplectic integrators for Hamiltonian problems: An overview, in Acta Numerica 1992, A. Iserles, ed., Cambridge University Press, Cambridge, UK, 1992, pp. 243- 286.
    • (1992) Acta Numerica 1992 , pp. 243-286
    • Sanz-Serna, J.M.1
  • 17
    • 0000765110 scopus 로고
    • Numerical solution of a nonlinear Klein-Gardon equation
    • W. A. STRAUSS AND L. VAZQUEZ, Numerical solution of a nonlinear Klein-Gardon equation, J. Comp. Phys., 28 (1978), pp. 271-278.
    • (1978) J. Comp. Phys. , vol.28 , pp. 271-278
    • Strauss, W.A.1    Vazquez, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.