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Volumn 24, Issue 2-3, 1997, Pages 425-438

Dynamics of constant and variable stepsize methods for a nonlinear population model with delay

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

EID: 0031207489     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00037-8     Document Type: Article
Times cited : (12)

References (14)
  • 2
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    • Stable periodic bifurcations of an explicit discretization of a nonlinear partial differential equation in reaction diffusion
    • D.F. Griffiths and A.R. Mitchell, Stable periodic bifurcations of an explicit discretization of a nonlinear partial differential equation in reaction diffusion, IMA J. Numer. Anal. 8 (1988) 435-454.
    • (1988) IMA J. Numer. Anal. , vol.8 , pp. 435-454
    • Griffiths, D.F.1    Mitchell, A.R.2
  • 3
    • 0000454723 scopus 로고
    • On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
    • D.F. Griffiths, P.K. Sweby and 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
  • 4
    • 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
  • 5
    • 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 (Longman Scientific and Technical, 1994) 167-179.
    • (1994) Numerical Analysis 1993 , pp. 167-179
    • Higham, D.J.1
  • 6
    • 0008508672 scopus 로고
    • Equilibrium states of adaptive algorithms for delay differential equations
    • D.J. Higham and I.T. 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.T.2
  • 7
    • 0030584610 scopus 로고    scopus 로고
    • Nonnormality effects in a discretized nonlinear reaction-convection-diffusion equation
    • D.J. Higham and B. Owren, Nonnormality effects in a discretized nonlinear reaction-convection-diffusion equation, J. Comput. Phys. 124 (1996) 309-323.
    • (1996) J. Comput. Phys. , vol.124 , pp. 309-323
    • Higham, D.J.1    Owren, B.2
  • 8
    • 0038946973 scopus 로고
    • Existence and stability of fixed points for a discretized nonlinear reactiondiffusion equation with delay
    • D.J. Higham and T. Sardar, Existence and stability of fixed points for a discretized nonlinear reactiondiffusion equation with delay, Appl. Numer. Math. 18 (1995) 155-173.
    • (1995) Appl. Numer. Math. , vol.18 , pp. 155-173
    • Higham, D.J.1    Sardar, T.2
  • 9
    • 0011660230 scopus 로고
    • Spurious solutions of numerical methods for initial value problems
    • A.R. Humphries, Spurious solutions of numerical methods for initial value problems, IMA J. Numer. Anal. 13 (1993) 263-290.
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 263-290
    • Humphries, A.R.1
  • 10
    • 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
    • Iserles, A.1
  • 11
    • 0031212859 scopus 로고    scopus 로고
    • Regularity properties of Runge-Kutta methods for delay differential equations
    • this issue
    • Z. Jackiewicz, R. Vermiglio and M. Zennaro, Regularity properties of Runge-Kutta methods for delay differential equations, Appl. Numer. Math. 24 (1997) 265-278 (this issue).
    • (1997) Appl. Numer. Math. , vol.24 , pp. 265-278
    • Jackiewicz, Z.1    Vermiglio, R.2    Zennaro, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.