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math.NA2026
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…
math.NA2025
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…