26 citations · 87 across the 12 of their papers we have counts for
12 papers
Parallel matching-based AMG preconditioners for elliptic equations discretized by IgA
Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone
Isogeometric analysis (IgA) offers enhanced approximation capabilities for the discretization of elliptic boundary-value problems, yet it results in large, sparse, and increasingly…
Optimal Polynomial Smoothers for Parallel AMG
Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone +2
In this paper, we explore polynomial accelerators that are well-suited for parallel computations, specifically as smoothers in Algebraic MultiGrid (AMG) preconditioners. These acce…
PSCToolkit: solving sparse linear systems with a large number of GPUs
Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone
In this chapter, we describe the Parallel Sparse Computation Toolkit (PSCToolkit), a suite of libraries for solving large-scale linear algebra problems in an HPC environment. In pa…
Efficient computation of the sinc matrix function for the integration of second-order differential equations
Lidia Aceto, Fabio Durastante
This work deals with the numerical solution of systems of oscillatory second-order differential equations which often arise from the semi-discretization in space of partial differe…
Alya towards Exascale: Algorithmic Scalability using PSCToolkit
Herbert Owen, Oriol Lehmkuhl, Pasqua D'Ambra +2
In this paper, we describe an upgrade of the Alya code with up-to-date parallel linear solvers capable of achieving reliability, efficiency and scalability in the computation of th…
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…
AMG preconditioners for Linear Solvers towards Extreme Scale
Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone
Linear solvers for large and sparse systems are a key element of scientific applications, and their efficient implementation is necessary to harness the computational power of curr…
Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations
Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone +1
In this paper, we discuss the convergence of an Algebraic MultiGrid (AMG) method for general symmetric positive-definite matrices. The method relies on an aggregation algorithm, na…
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…