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 …

The present paper illustrates some classes of multivalue methods for the numerical solution
of ordinary and fractional differential equations. In particular, it focuses on two-step and …

This paper introduces a family of barycentric rational predictor-corrector schemes based on
the Floater–Hormann family of linear barycentric rational interpolants (LBRIs) for the …

The paper is focused on the analysis of stability properties of a family of numerical methods
designed for the numerical solution of stochastic Volterra integral equations. Stability …

Multistep collocation methods for Volterra integro-differential equations are derived and
analyzed. They increase the order of convergence of classical one-step collocation …

We propose two-step collocation methods for the numerical solution of fractional differential
equations. These methods increase the order of convergence of one-step collocation …

We derive exponentially fitted two-step Runge–Kutta methods for the numerical solution of
y′= f (x, y), specially tuned to the behaviour of the solution. Such methods have …

It is the purpose of this paper to derive diagonally implicit exponentially fitted (EF) Runge–
Kutta methods for the numerical solution of initial value problems based on first order …

It is the purpose of this paper to provide an acceleration of waveform relaxation (WR)
methods for the numerical solution of large systems of ordinary differential equations. The …

In the context of the numerical integration of initial value problems based on ordinary
differential equations, it is the purpose of this paper to introduce a modification of two step …