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math.NA2026
A particle method for the Boltzmann equation via amortized sampling from Green's function of the lifted linear operator
Zichang Ju, Lei Li, Yang Yu
The collision operator for the Boltzmann equation is a nonlinear nonlocal operator. When lifted in the extended 2-particle space, it is viewed as the projection of a collisional li…
math.NA2024
A structure-preserving collisional particle method for the Landau kinetic equation
Kai Du, Lei Li, Yongle Xie +1
In this paper, we propose and implement a structure-preserving stochastic particle method for the Landau equation. The method is based on a particle system for the Landau equation,…