4 papers
A Multi-Order Extension of Fractional HBVMs (FHBVMs)
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro +1
The efficient numerical solution of fractional differential equations has been recently tackled through the definition of Fractional HBVMs (FHBVMs), a class of Runge-Kutta type met…
On the use of the principle of maximum entropy to improve the robustness of bivariate spline least-squares approximation
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
We consider fitting a bivariate spline regression model to data using a weighted least-squares cost function, with weights that sum to one to form a discrete probability distributi…
Analysis and implementation of collocation methods for fractional differential equations
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro +1
Recently, the class of Runge-Kutta type methods named Fractional HBVMs (FHBVMs) has been introduced for the numerical solution of initial value problems of fractional differential…
A shooting-Newton procedure for solving fractional terminal value problems
Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro
In this paper we consider the numerical solution of fractional terminal value problems (FDE-TVPs). In particular, the proposed procedure uses a Newton-type iteration which is parti…