2 papers
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.NA2025
A modified tamed scheme for stochastic differential equations with superlinear drifts
Zichang Ju, Lei Li, Yuliang Wang
Explicit discretizations of stochastic differential equations often encounter instability when the coefficients are not globally Lipschitz. The truncated schemes and tamed schemes…