We present a collection of recent results on the numerical approximation of Volterra integral
equations and integro-differential equations by means of collocation type methods, which …

This paper concerns the construction of a general class of exponentially fitted two-step
implicit peer methods for the numerical integration of Ordinary Differential Equations (ODEs) …

In this paper, we present a general class of exponentially fitted two-step peer methods for
the numerical integration of ordinary differential equations. The numerical scheme is …

The aim of this paper is to apply the stochastic arithmetic to evaluate an improper integral by
using the Gauss-Laguerre integration rule. For this purpose, the CESTAC1 method and …

We develop an entirely numerical approach for the interpolation of the first derivative of an
oscillatory function y (x) with frequency ω. Two versions for the number of data at equidistant …

The exponential fitting technique uses information on the expected behaviour of the solution
of ordinary and partial differential equations to define accurate and efficient numerical …

The paper provides a comparison between two relevant classes of numerical discretizations
for stiff and nonstiff problems. Such a comparison regards linearly implicit Jacobian …

We survey some representative results on time-delay fractional differential optimal control
problems. In this paper we provide a review of the techniques, developed in the last decade …

The coefficients of numerical methods derived by exponential and trigonometric fittings are
functions of parameter z= ω h where ω and h are the involved frequency and the step size …

A new exponentially fitted version of the discrete variational derivative method for the
efficient solution of oscillatory complex Hamiltonian partial differential equations is …