6 papers
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…
A generalized discontinuous Hamilton Monte Carlo for transdimensional sampling
Lei Li, Xiangxian Luo, Yinchen Luo
In this paper, we propose a discontinuous Hamilton Monte Carlo (DHMC) to sample from dimensional varying distributions, and particularly the grand canonical ensemble. The DHMC was…
Equilibrium-diffusion limit of the radiation model
Lei Li
We justify rigorously the equilibrium-diffusion limit of the model consists of a radiative transfer satisfied by the specific intensity of radiation coupled to a diffusion equation…
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,…
A second order Langevin sampler preserving positive volume for isothermal isobaric ensemble
Lei Li, Yuzhou Peng
We propose in this work a second-order Langevin sampler for the isothermal-isobaric ensemble (the NPT ensemble), preserving a positive volume for the simulation box. We first deriv…
A collision-oriented interacting particle system for Landau-type equations and the molecular chaos
Kai Du, Lei Li
We propose a collision-oriented particle system to approximate a class of Landau-type equations. This particle system is formally derived from a particle system with random collisi…