9 citations · 10 across the 11 of their papers we have counts for
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An IMEX multi-level domain-decomposition method for the Boltzmann equation on unstructured meshes
Domenico Caparello, Lorenzo Pareschi, Thomas Rey
We introduce a dynamically adaptive multi-level method for the multiscale Boltzmann equation on unstructured meshes, coupling the compressible Euler, Navier-Stokes, and full Boltzm…
A fast spectral particle method for the Landau equation
Giacomo Borghi, Lorenzo Pareschi
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 approxim…
High-Order Asymptotic-Preserving IMEX schemes for an ES-BGK model for Gas Mixtures
Domenico Caparello, Lorenzo Pareschi, Thomas Rey
In this work we construct a high-order Asymptotic-Preserving (AP) Implicit-Explicit (IMEX) scheme for the ES-BGK model for gas mixtures introduced in [Brull, Commun. Math. Sci., 20…
Hierarchical dynamic domain decomposition for the multiscale Boltzmann equation
Domenico Caparello, Lorenzo Pareschi, Thomas Rey
In this work, we present a hierarchical domain decomposition method for the multi-scale Boltzmann equation based on moment realizability matrices, a concept introduced by Levermore…
Wasserstein convergence rates for stochastic particle approximation of Boltzmann models
Giacomo Borghi, Lorenzo Pareschi
We establish quantitative convergence rates for stochastic particle approximation based on Nanbu-type Monte Carlo schemes applied to a broad class of collisional kinetic models. Us…
Conservative polynomial approximations and applications to Fokker-Planck equations
Tino Laidin, Lorenzo Pareschi
We address the problem of constructing approximations based on orthogonal polynomials that preserve an arbitrary set of moments of a given function without loosing the spectral con…
Optimization by linear kinetic equations and mean-field Langevin dynamics
Lorenzo Pareschi
Probably one of the most striking examples of the close connections between global optimization processes and statistical physics is the simulated annealing method, inspired by the…