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Volumn 1, Issue 1, 2006, Pages 59-80

Variable step runge-kutta-nyström methods for the numerical solution of reversible systems

Author keywords

Reversible system; Runge kutta nystr m; Symmetric methods; Variable step size

Indexed keywords


EID: 84946899933     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (35)

References (12)
  • 1
    • 19644398817 scopus 로고    scopus 로고
    • A variable step Runge-Kutta-Nystöm integrator for reversible systems of second order initial value problems, SIAM
    • J. R. Cash, A variable step Runge-Kutta-Nystöm integrator for reversible systems of second order initial value problems, SIAM J. Scientific Computing, 26, 963-978 (2005)
    • (2005) J. Scientific Computing , vol.26 , pp. 963-978
    • Cash, J.R.1
  • 2
    • 0028447554 scopus 로고
    • Model Problems in Numerical Stability Theory for Initial Value Problems
    • A. M. Stuart and A. R. Humphries, Model Problems in Numerical Stability Theory for Initial Value Problems, SIAM Rev., 36 (1994) pp226-257
    • (1994) SIAM Rev. , vol.36 , pp. 226-257
    • Stuart, A.M.1    Humphries, A.R.2
  • 4
    • 0029229318 scopus 로고
    • Variable steps for reversible integration methods
    • D. Stoffer, Variable steps for reversible integration methods, Computing 55 (1995) 1-22
    • (1995) Computing , vol.55 , pp. 1-22
    • Stoffer, D.1
  • 5
    • 0030621833 scopus 로고    scopus 로고
    • Reversible long term integration with variable stepsizes, SIAM
    • E. Hairer and D. Stoffer, Reversible long term integration with variable stepsizes, SIAM J. Sci. Computing, 18, (1997) 257-269
    • (1997) J. Sci. Computing , vol.18 , pp. 257-269
    • Hairer, E.1    Stoffer, D.2
  • 6
    • 0003103904 scopus 로고
    • Accurate long term integration of dynamical systems
    • M. P. Calvo and E. Hairer, Accurate long term integration of dynamical systems, Applied Numerical Mathematics, 18 (1995) 95-105
    • (1995) Applied Numerical Mathematics , vol.18 , pp. 95-105
    • Calvo, M.P.1    Hairer, E.2
  • 8
    • 0003544856 scopus 로고
    • Applied Mathematics and Mathematical Computation, Chapman and Hall London
    • J. M. Sanz-Serna and M. P. Calvo, Numerical Hamiltonian Problems, Applied Mathematics and Mathematical Computation, Chapman and Hall London, 1994
    • (1994) Numerical Hamiltonian Problems
    • Sanz-Serna, J.M.1    Calvo, M.P.2
  • 10
    • 3142580393 scopus 로고    scopus 로고
    • Symmetric Multistep Methods over long times
    • E. Hairer and C. Lubich, Symmetric Multistep Methods over long times, Numerical Mathematics 97 (2004), 699-723
    • (2004) Numerical Mathematics , vol.97 , pp. 699-723
    • Hairer, E.1    Lubich, C.2
  • 12
    • 0001127934 scopus 로고    scopus 로고
    • Numerical integrators that preserve symmetries and reversing symmetries, SIAM
    • R.I. McLachlan, G. R. W. Quispel and G.S. Turner, Numerical integrators that preserve symmetries and reversing symmetries, SIAM J. Numer. Anal., 35 (1998), pp. 586-599
    • (1998) J. Numer. Anal. , vol.35 , pp. 586-599
    • McLachlan, R.I.1    Quispel, G.R.W.2    Turner, G.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.