18 citations · 37 across the 8 of their papers we have counts for
8 papers
Adaptive Multidimensional Quadrature on Multi-GPU Systems
Melanie Tonarelli, Simone Riva, Pietro Benedusi +2
We introduce a distributed adaptive quadrature method that formulates multidimensional integration as a hierarchical domain decomposition problem on multi-GPU architectures. The in…
Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy
Pietro Benedusi, Paola Ferrari, Marie Rognes +1
In this work, we are interested in solving large linear systems stemming from the Extra-Membrane-Intra (EMI) model, which is employed for simulating excitable tissues at a cellular…
Numerical solutions to linear transfer problems of polarized radiation II. Krylov methods and matrix-free implementation
Pietro Benedusi, Gioele Janett, Luca Belluzzi +1
Context. Numerical solutions to transfer problems of polarized radiation in solar and stellar atmospheres commonly rely on stationary iterative methods, which often perform poorly…
Numerical solutions to linear transfer problems of polarized radiation I. Algebraic formulation and stationary iterative methods
Gioele Janett, Pietro Benedusi, Luca Belluzzi +1
Context. The numerical modeling of the generation and transfer of polarized radiation is a key task in solar and stellar physics research and has led to a relevant class of discret…
An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem
Pietro Benedusi, Michael Minion, Rolf Krause
We consider two parallel-in-time approaches applied to a (reaction) diffusion problem, possibly non-linear. In particular, we consider PFASST (Parallel Full Approximation Scheme in…
Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology
Seif Ben Bader, Pietro Benedusi, Alessio Quaglino +2
We present a novel approach aimed at high-performance uncertainty quantification for time-dependent problems governed by partial differential equations. In particular, we consider…
An Iterative Approach for Time Integration Based on Discontinuous Galerkin Methods
Xiaozhou Li, Pietro Benedusi, Rolf Krause
We present a new class of iterative schemes for solving initial value problems (IVP) based on discontinuous Galerkin (DG) methods. Starting from the weak DG formulation of an IVP,…
Time parallel gravitational collapse simulation
Andreas Kreienbuehl, Pietro Benedusi, Daniel Ruprecht +1
This article demonstrates the applicability of the parallel-in-time method Parareal to the numerical solution of the Einstein gravity equations for the spherical collapse of a mass…