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 …

Retarded differential equations (RDEs) are differential equations having retarded
arguments. They arise in many realistic models of problems in science, engineering, and …

Stability analysis of some representative numerical methods for systems of neutral delay-
differential equations (NDDEs) is considered. After the establishment of a sufficient condition …

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 …

Asymptotic stability of linear delay differential-algebraic equations and numerical methods *
Page 1 APPLIED NUMERICAL ELSEVlER MATHEMATICS Applied Numerical Mathematics 24 …

This paper deals with the asymptotic stability of theoretical solutions and numerical methods
for systems of neutral differential equations x′= Ax′(t− τ)+ Bx (t)+ Cx (t− τ), where A, B, and …

This paper is concerned with the numerical solution of delay differential equations (DDEs).
We focus on the stability behaviour and error analysis of one-leg methods with respect to …

In this paper, we consider a viable semi-analytical approach for the approximate-analytical
solutions of certain system of functional differential equations (SFDEs) engendered by …

This paper discusses the θ-method for the numerical solution of delay differential equations
with infinite lag. Our analysis is based on the test equation y′(t)= ay (λt)+ by (t), where a …

In the last 20 years various stability test problems for DDE solvers have been considered.
These are mainly generalizations of those used for ODEs. For the simplest autonomous …