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 …

This paper deals with adapting Runge-Kutta methods to differential equations with a lagging
argument. A new interpolation procedure is introduced which leads to numerical processes …

This paper deals with the stability analysis of step-by-step methods for the numerical
solution of delay differential equations. We focus on the behaviour of such methods when …

In this paper, we derive several a posteriori error estimators for generalized diffusion
equation with delay in a convex polygonal domain. The Crank–Nicolson method for time …

In this paper, we are concerned with the solution of delay differential algebraic equations.
These are differential algebraic equations with after-effect, or constrained delay differential …

This paper is concerned with the numerical solution of initial value problems for systems of
delay differential equations. We consider adaptation of the class of Runge–Kutta methods …

The convergence and stability analysis of seventh C3-spline collocation methods if applied
to delay-differential equations (DDEs), will be considered. Letting the interior collocation …

Abstract Systems of functional–differential and functional equations occur in many
biological, control and physics problems. They also include functional–differential equations …

This paper deals with dissipativity of the variable-stepsize Runge-Kutta methods applied to
nonlinear Volterra functional differential equations in Hilbert spaces. The conditional …

The continuous Galerkin finite element method for linear delay-differential equation with
several terms is studied. Adding some lower terms in the remainder of orthogonal expansion …