Continuous Explicit Runge-Kutta methods with the minimal number of stages are considered. These methods are continuously diierentiable if and only if one of the stages is the FSAL evaluation. A… (More)

In this paper we define unconditional stability properties of exponential Runge-Kutta methods when they are applied to semi-linear systems of ordinary differential equations characterized by a stiff… (More)

This paper deals with the joint spectral radius of a finite set of matrices. We s ay that a set of matrices has thefiniteness propertyif the maximal rate of growth, in the multiplicative semigroup it… (More)

We consider a very general class of Runge-Kutta methods for the numerical solution of Volterra integral equations of the second kind, which includes as special cases all the more important methods… (More)

Let { y”} be a trajectory defined sequentially by a nonlinear vector difference equation y,,+ 1 = F”+ ,( y,) with y0 known. A Steffensen-like iterative method is proposed which starts from a guessed… (More)

In this paper we illustrate a novel approach for studying the asymptotic behaviour of the solutions of linear difference equations with variable coefficients. In particular, we deal with the… (More)

In this paper we consider finite families F of real n×n-matrices. In particular, we focus on the computation of the joint spectral radiusρ(F ) via the detection of anextremal normin the class… (More)