L. Pareschi

An IMEX multi-level domain-decomposition method for the Boltzmann equation on unstructured meshes

We introduce a dynamically adaptive multi-level method for the multiscale Boltzmann equation on unstructured meshes, coupling the compressible Euler, Navier-Stokes, and full Boltzmann descriptions within a single asymptotic-preserving IMEX framework. Unlike standard domain-decomposition approaches, where independent so...

A fourth-order accurate finite volume scheme for resistive relativistic MHD

A fast spectral particle method for the Landau equation

We propose a fast deterministic particle method for the spatially homogeneous Landau equation. The method combines a particle representation of the solution with a Fourier approximation of the nonlinear collision flux. Nonuniform fast Fourier transforms are used to reconstruct the density from the particles and to eval...