133 citations · 1.1k across the 49 of their papers we have counts for
7 papers · 1 filter
Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics
Giacomo Albi, Giulia Bertaglia, Walter Boscheri +4
In this survey we report some recent results in the mathematical modeling of epidemic phenomena through the use of kinetic equations. We initially consider models of interaction be…
High order modal Discontinuous Galerkin Implicit-Explicit Runge Kutta and Linear Multistep schemes for the Boltzmann model on general polygonal meshes
Walter Boscheri, Giacomo Dimarco
Deterministic solutions of the Boltzmann equation represent a real challenge due to the enormous computational effort which is required to produce such simulations and often stocha…
On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs
Walter Boscheri, Maurizio Tavelli, Lorenzo Pareschi
This article is devoted to the construction of a new class of semi-Lagrangian (SL) schemes with implicit-explicit (IMEX) Runge-Kutta (RK) time stepping for PDEs involving multiple…
A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes
Walter Boscheri, Simone Chiocchetti, Ilya Peshkov
A cell-centered implicit-explicit updated Lagrangian finite volume scheme on unstructured grids is proposed for a unified first order hyperbolic formulation of continuum fluid and…
Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
Giulia Bertaglia, Walter Boscheri, Giacomo Dimarco +1
In this paper we introduce a space-dependent multiscale model to describe the spatial spread of an infectious disease under uncertain data with particular interest in simulating th…
A cell-centered Lagrangian ADER-MOOD finite volume scheme on unstructured meshes for a class of hyper-elasticity models
Walter Boscheri, Raphaël Loubère, Pierre-Henri Maire
In this paper we present a conservative cell-centered Lagrangian finite volume scheme for the solution of the hyper-elasticity equations on unstructured multidimensional grids. The…
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes
Walter Boscheri, Giacomo Dimarco
In this work, we present a family of time and space high order finite volume schemes for the solution of the full Boltzmann equation. The velocity space is approximated by using a…