81 citations · 119 across the 8 of their papers we have counts for
5 papers · 1 filter
On a hybrid continuum-kinetic model for complex fluids
A. Chertock, P. Degond, G. Dimarco +2
In the present work, we first introduce a general framework for modelling complex multiscale fluids and then focus on the derivation and analysis of a new hybrid continuum-kinetic…
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…
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…
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations
Walter Boscheri, Giacomo Dimarco, Lorenzo Pareschi
In this work we propose a novel space-dependent multiscale model for the spread of infectious diseases in a two-dimensional spatial context on realistic geographical scenarios. The…
Implicit-Explicit multistep methods for hyperbolic systems with multiscale relaxation
Giacomo Albi, Giacomo Dimarco, Lorenzo Pareschi
We consider the development of high order space and time numerical methods based on Implicit-Explicit (IMEX) multistep time integrators for hyperbolic systems with relaxation. More…