Delay differential equations are of sufficient importance in modelling real-life phenomena to
merit the attention of numerical analysts. In this paper, we discuss key features of delay …

In this paper we investigate collocation methods for the computation of periodic solutions of
autonomous delay differential equations (DDEs). Periodic solutions are found by solving a …

Distributed by Elsevier Science on behalf of Science Press. Available internationally for the
first time, this book introduces the basic concepts and theory of the stability of numerical …

In this paper, we first study the mean square stability of numerical methods for stochastic
delay differential equations under a coupled condition on the drift and diffusion coefficients …

The characteristic equation of a system of delay differential equations (DDEs) is a nonlinear
equation with infinitely many zeros. The stability of a steady state solution of such a DDE …

We introduce two collocation schemes for the computation of periodic solutions of neutral
delay differential equations (NDDEs): one based on a direct discretisation of the underlying …

This paper is concerned with the numerical solution of parabolic partial differential equations
with time-delay. We focus in particular on the delay dependent stability analysis of difference …

This paper is concerned with the numerical solution of dissipative initial value problems with
delays by Runge-Kutta methods. A sufficient condition for the dissipativity of the systems is …

The paper describes essential reaction–diffusion models with delay arising in population
theory, medicine, epidemiology, biology, chemistry, control theory, and the mathematical …

This paper is concerned with the numerical solution of delay differential equations (DDEs).
We focus on the stability behaviour of Runge-Kutta methods for nonlinear DDEs. The new …