69 citations · 163 across the 25 of their papers we have counts for
5 papers · 1 filter
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties
Mariarosa Mazza, Marco Donatelli, Carla Manni +1
In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B-spline collocation method. For an arbitrary polynomial degree , we show…
Graph approximation and generalized Tikhonov regularization for signal deblurring
Davide Bianchi, Marco Donatelli
Given a compact linear operator $\K$, the (pseudo) inverse $\K^\dagger$ is usually substituted by a family of regularizing operators which depends on $\K$ itself. Naturally,…
Graph Laplacian for image deblurring
Davide Bianchi, Alessandro Buccini, Marco Donatelli +1
Image deblurring is relevant in many fields of science and engineering. To solve this problem, many different approaches have been proposed and among the various methods, variation…
A symbol based analysis for multigrid methods for Block-Circulant and Block-Toeplitz Systems
Matthias Bolten, Marco Donatelli, Paola Ferrari +1
In the literature, there exist several studies on symbol-based multigrid methods for the solution of linear systems having structured coefficient matrices. In particular, the conve…
Compatibility, embedding and regularization of non-local random walks on graphs
Davide Bianchi, Marco Donatelli, Fabio Durastante +1
Several variants of the graph Laplacian have been introduced to model non-local diffusion processes, which allow a random walker to {\textquotedblleft jump\textquotedblright} to no…