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Volumn 32, Issue 1, 2000, Pages 1-20

Effect of quadrature on the dynamics of a discretized nonlinear integro-differential equation

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

EID: 0033889256     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00013-6     Document Type: Article
Times cited : (2)

References (13)
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    • M.A. Aves, P.J. Davies, D.J. Higham, Fixed points and spurious modes of a nonlinear infinite-step map, in: D.F. Griffiths and G.A. Watson (Eds.), Numerical Analysis: A.R. Mitchell 75th Birthday Volume, World Scientific, 1996, pp. 21-38.
    • (1996) Numerical Analysis: A.R. Mitchell 75th Birthday Volume , pp. 21-38
    • Aves, M.A.1    Davies, P.J.2    Higham, D.J.3
  • 3
    • 0004134669 scopus 로고
    • Integrodifferential equations and delay models in population dynamics
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    • (1977) Lecture Notes in Biomathematics
    • Cushing, J.M.1
  • 4
    • 0000454723 scopus 로고
    • On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
    • D.F. Griffiths, P.K. Sweby, H.C. Yee, On spurious asymptotic numerical solutions of explicit Runge-Kutta methods, IMA J. Numer. Anal. 12 (1992) 319-338.
    • (1992) IMA J. Numer. Anal. , vol.12 , pp. 319-338
    • Griffiths, D.F.1    Sweby, P.K.2    Yee, H.C.3
  • 6
    • 0022129420 scopus 로고
    • Equilibrium states of Runge-Kutta schemes
    • G. Hall, Equilibrium states of Runge-Kutta schemes, ACM Trans. Math. Software 11 (1985) 289-301.
    • (1985) ACM Trans. Math. Software , vol.11 , pp. 289-301
    • Hall, G.1
  • 7
    • 0008441922 scopus 로고
    • The dynamics of a discretized nonlinear delay differential equation
    • D.F. Griffiths and G.A. Watson (Eds.), Longman Scientific and Technical
    • D.J. Higham, The dynamics of a discretized nonlinear delay differential equation, in: D.F. Griffiths and G.A. Watson (Eds.), Numerical Analysis 1993: Proceedings of the 15th Dundee Conference, Pitman Research Notes in Mathematics, Vol. 303, Longman Scientific and Technical, 1994, pp. 167-179.
    • (1994) Numerical Analysis 1993: Proceedings of the 15th Dundee Conference, Pitman Research Notes in Mathematics , vol.303 , pp. 167-179
    • Higham, D.J.1
  • 8
    • 0008508672 scopus 로고
    • Equilibrium states of adaptive algorithms for delay differential equations
    • D.J. Higham, I.Th. Famelis, Equilibrium states of adaptive algorithms for delay differential equations, J. Comput. Appl. Math. 58 (1995) 151-169.
    • (1995) J. Comput. Appl. Math. , vol.58 , pp. 151-169
    • Higham, D.J.1    Famelis, I.Th.2
  • 9
    • 0002959217 scopus 로고
    • Stability and dynamics of numerical methods for nonlinear ordinary differential equations
    • A. Iserles, Stability and dynamics of numerical methods for nonlinear ordinary differential equations, IMA J. Numer. Anal. 10 (1990) 1-30.
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 1-30
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  • 11
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    • On the stability of linear multistep methods for Volterra convolution equations
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  • 12
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  • 13
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    • Mathematical aspects of the dynamics of animal populations
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.