9 citations · 9 across the 8 of their papers we have counts for
22 papers
Maximum Entropy Least Squares Solutions of Overdetermined Linear Systems
Felice Iavernaro, Monica Lazzo, Lorenzo Pisani
We investigate the theoretical foundations of a recently introduced entropy-based formulation of weighted least squares for the approximation of overdetermined linear systems, moti…
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…
High-order Gauss-Legendre methods admit a composition representation and a conjugate-symplectic counterpart
Felice Iavernaro, Francesca Mazzia, Ernst Hairer
One of the most classical pairs of symplectic and conjugate-symplectic schemes is given by the Midpoint method (the Gauss-Runge-Kutta method of order 2) and the Trapezoidal rule. T…
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…
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…
Does the fluid-static equilibrium of a self-gravitating isothermal sphere of van der Waals' gas present multiple solutions?
Domenico Giordano, Pierluigi Amodio, Felice Iavernaro +1
We take up the investigation we left in the future-work stack in Giordano \textit{et al.} [``Fluid statics of a self-gravitational isothermal sphere of van der Waals' gas,'' Phys.…