13 citations · 30 across the 9 of their papers we have counts for
9 papers
Analytical and numerical study of nonlinear Riesz-Caputo boundary value problems
Chiara Sorgentone, Enza Pellegrino, Francesca Pitolli
Fractional boundary value problems are often used to model complex systems and processes characterized by memory effects and anomalous diffusion. In this paper, we consider nonline…
Mining the Mind: Linear Discriminant Analysis of MEG source reconstruction time series supports dynamic changes in deep brain regions during meditation sessions
D. Calvetti, B. Johnson, A. Pascarella +3
Meditation practices have been claimed to have a positive effect on the regulation of mood and emotion for quite some time by practitioners, and in recent times there has been a su…
Quasi-Interpolant Operators and the Solution of Fractional Differential Problems
Enza Pellegrino, Laura Pezza, Francesca Pitolli
Nowadays, fractional differential equations are a well established tool to model phenomena from the real world. Since the analytical solution is rarely available, there is a great…
A Collocation Method in Spline Spaces for the Solution of Linear Fractional Dynamical Systems
Enza Pellegrino, Laura Pezza, Francesca Pitolli
We used a collocation method in refinable spline space to solve a linear dynamical system having fractional derivative in time. The method takes advantage of an explicit derivation…
A fractional spline collocation-Galerkin method for the time-fractional diffusion equation
Laura Pezza, Francesca Pitolli
The aim of this paper is to numerically solve a diffusion differential problem having time derivative of fractional order. To this end we propose a collocation-Galerkin method that…
Brain activity mapping from MEG data via a hierarchical Bayesian algorithm with automatic depth weighting: sensitivity and specificity analysis
Daniela Calvetti, Annalisa Pascarella, Francesca Pitolli +2
A recently proposed IAS MEG inverse solver algorithm, based on the coupling of a hierarchical Bayesian model with computationally efficient Krylov subspace linear solver, has been…
An inversion method based on random sampling for real-time MEG neuroimaging
Annalisa Pascarella, Francesca Pitolli
The MagnetoEncephaloGraphy (MEG) has gained great interest in neurorehabilitation training due to its high temporal resolution. The challenge is to localize the active regions of t…
Bayes meets Krylov: preconditioning CGLS for underdetermined systems
Daniela Calvetti, Francesca Pitolli, Erkki Somersalo +1
The solution of linear inverse problems when the unknown parameters outnumber data requires addressing the problem of a nontrivial null space. After restating the problem within th…
Bell-shaped nonstationary refinable ripplets
Francesca Pitolli
We study the approximation properties of the class of nonstationary refinable ripplets introduced in \cite{GP08}. These functions are solution of an infinite set of nonstationary r…