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Volumn 45, Issue 4, 2005, Pages 709-723

Geometric integration methods that preserve Lyapunov functions

Author keywords

Geometric integration; Lyapunov function; Numerical solution; Runge Kutta methods

Indexed keywords


EID: 29144462459     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-005-0034-z     Document Type: Conference Paper
Times cited : (31)

References (22)
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  • 2
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  • 4
    • 0027811215 scopus 로고
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    • C. M. Elliot and A. M. Stuart, The global dynamics of discrete semilinear parabolic equations, SIAM J. Numer. Anal., 30 (1993), pp. 1622-1663.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1622-1663
    • Elliot, C.M.1    Stuart, A.M.2
  • 8
    • 0043263127 scopus 로고    scopus 로고
    • Symmetric projection methods for differential equations on manifolds
    • E. Hairer, Symmetric Projection Methods for Differential Equations on Manifolds, BIT, 40 (2000), pp. 726-734.
    • (2000) BIT , vol.40 , pp. 726-734
    • Hairer, E.1
  • 10
    • 0040958621 scopus 로고
    • Neue Methode zur approximativen Integration der Differentialgleichungen einer unabhängigen Veränderlichen
    • K. Heun, Neue Methode zur approximativen Integration der Differentialgleichungen einer unabhängigen Veränderlichen, Z. Math. Phys., 45 (1900), pp. 23-38.
    • (1900) Z. Math. Phys. , vol.45 , pp. 23-38
    • Heun, K.1
  • 15
    • 0001239247 scopus 로고    scopus 로고
    • A unified approach to Hamiltonian systems, Poisson systems, gradient systems, and systems with a Lyapunov function and/or first integrals
    • R. I. McLachlan, G. R. W. Quispel and N. Robidoux, A unified approach to Hamiltonian systems, Poisson systems, gradient systems, and systems with a Lyapunov function and/or first integrals, Phys. Rev. Lett., 81 (1998), pp. 2399-2403.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2399-2403
    • McLachlan, R.I.1    Quispel, G.R.W.2    Robidoux, N.3
  • 17
    • 0002613860 scopus 로고    scopus 로고
    • Six lectures on the geometric integration of ODEs
    • C. U. P., R. A. DeVore et al., eds.
    • R. I. McLachlan and G. R. W. Quispel, Six lectures on the geometric integration of ODEs, in Foundations of Computational Mathematics, C. U. P., R. A. DeVore et al., eds., 2001, pp. 155-210.
    • (2001) Foundations of Computational Mathematics , pp. 155-210
    • McLachlan, R.I.1    Quispel, G.R.W.2
  • 22
    • 51249191982 scopus 로고
    • Runge-Kutta-methods with expansion in even powers of h
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    • (1973) Computing , vol.11 , pp. 81-85
    • Wanner, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.