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    Browsing Faculty of Science and Engineering by Publisher "Manchester Centre for Computational Mathematics"

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        Boundness and stability of differential equations

        Edwards, John T.; Ford, Neville J. (Manchester Centre for Computational Mathematics, 2003-05-23)
        This paper discusses the qualitative behaviour of solutions to difference equations, focusing on boundedness and stability of solutions. Examples demonstrate how the use of Lipschintz constants can provide insights into the qualitative behaviour of solutions to some nonlinear problems.
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        Characterising small solutions in delay differential equations through numerical approximations

        Ford, Neville J.; Lunel, Sjoerd M. V. (Manchester Centre for Computational Mathematics, 2003-05-23)
        This paper discusses how the existence of small solutions for delay differential equations can be predicted from the behaviour of the spectrum of the finite dimensional approximations.
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        How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation?

        Ford, Neville J.; Wulf, Volker (Manchester Centre for Computational Mathematics, 1999-09-30)
        This paper discusses the numerical solution of delay differential equations undergoing a Hopf birufication. Three distinct and complementary approaches to the analysis are presented.
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        The numerical solution of fractional differential equations: Speed versus accuracy

        Ford, Neville J.; Simpson, A. Charles (Manchester Centre for Computational Mathematics, 2003-05-23)
        This paper discusses the development of efficient algorithms for a certain fractional differential equation.
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