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Volumn 135, Issue 3-4, 1996, Pages 243-264

Explicit finite-difference methods for non-linear dynamic systems: Froude's pendulum

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; NONLINEAR SYSTEMS; NUMERICAL METHODS; PENDULUMS;

EID: 0030243936     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(95)00952-3     Document Type: Article
Times cited : (4)

References (17)
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    • 0037643058 scopus 로고
    • Numerical ordinary differential equation vs. dynamical systems
    • D.S. Broomhead and A. Iserles, eds., Clarendon Press, Oxford
    • J.M. Sanz-Serna, Numerical ordinary differential equation vs. dynamical systems, in: D.S. Broomhead and A. Iserles, eds., The Dynamics of Numerics and the Numerics of Dynamics (Clarendon Press, Oxford, 1992) 81-106.
    • (1992) The Dynamics of Numerics and the Numerics of Dynamics , pp. 81-106
    • Sanz-Serna, J.M.1
  • 8
    • 0001650860 scopus 로고
    • Chaos in numerical analysis of ordinary differential equations
    • M. Yamaguta and S. Ushiki, Chaos in numerical analysis of ordinary differential equations, Physica D3 (1981) 618-626.
    • (1981) Physica , vol.D3 , pp. 618-626
    • Yamaguta, M.1    Ushiki, S.2
  • 9
    • 0000644645 scopus 로고
    • Central difference scheme and chaos
    • S. Ushiki, Central difference scheme and chaos, Physica D4 (1982) 407-424.
    • (1982) Physica , vol.D4 , pp. 407-424
    • Ushiki, S.1
  • 10
    • 0022011947 scopus 로고
    • Turbulence in multistep methods for initial value problems
    • M. Prufer, Turbulence in multistep methods for initial value problems, SIAM J. Appl. Math. 45 (1985) 32-69.
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 32-69
    • Prufer, M.1
  • 11
    • 0001057158 scopus 로고
    • Chaos-free numerical solutions of reaction-diffusion equations
    • E.H. Twizell, Y. Wang and W.G. Price, Chaos-free numerical solutions of reaction-diffusion equations, Proc. R. Soc. Lond. A 430 (1990) 541-576.
    • (1990) Proc. R. Soc. Lond. A , vol.430 , pp. 541-576
    • Twizell, E.H.1    Wang, Y.2    Price, W.G.3
  • 15
    • 0010753959 scopus 로고
    • Finite-difference schemes having the correct linear stability properties for all finite step-sizes II
    • R.E. Mickens, Finite-difference schemes having the correct linear stability properties for all finite step-sizes II, Dyn. Syst. Applic. 1 (1992) 329-340.
    • (1992) Dyn. Syst. Applic. , vol.1 , pp. 329-340
    • Mickens, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.