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Preprint Aug 2026

A particle method for the Boltzmann equation via amortized sampling from Green's function of the lifted linear operator

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 linear operator. In this paper, we propose a particle method that samples the post-collision relative velocity directly from the Green's funct...

Zichang Ju, Lei Li, Yang Yu · 0 citations

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