26 citations · 58 across the 5 of their papers we have counts for
5 papers
Why diffusion-based preconditioning of Richards equation works: spectral analysis and computational experiments at very large scale
Daniele Bertaccini, Pasqua D'Ambra, Fabio Durastante +1
We consider here a cell-centered finite difference approximation of the Richards equation in three dimensions, averaging for interface values the hydraulic conductivity , a…
Nonlocal diffusion of variable order on complex networks
Daniele Bertaccini, Fabio Durastante
Some aspects of nonlocal dynamics on directed and undirected networks for an initial value problem whose Jacobian matrix is a variable-order fractional power of a Laplacian matrix…
Nonlocal network dynamics via fractional graph Laplacians
Michele Benzi, Daniele Bertaccini, Fabio Durastante +1
We introduce nonlocal dynamics on directed networks through the construction of a fractional version of a nonsymmetric Laplacian for weighted directed graphs. Furthermore, we provi…
Rational Krylov methods for functions of matrices with applications to fractional partial differential equations
Lidia Aceto, Daniele Bertaccini, Fabio Durastante +1
In this paper, we propose a new choice of poles to define reliable rational Krylov methods. These methods are used for approximating function of positive definite matrices. In part…
Efficient approximation of functions of some large matrices by partial fraction expansions
Daniele Bertaccini, Marina Popolizio, Fabio Durastante
Some important applicative problems require the evaluation of functions of large and sparse and/or \emph{localized} matrices . Popular and interesting techniques for computi…