37 citations · 76 across the 7 of their papers we have counts for
13 papers
Semi-implicit Lagrangian Voronoi Approximation for the incompressible Navier-Stokes equations
Ondřej Kincl, Ilya Peshkov, Walter Boscheri
We introduce Semi-Implicit Lagrangian Voronoi Approximation (SILVA), a novel numerical method for the solution of the incompressible Euler and Navier-Stokes equations, which combin…
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…
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…