4 papers
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…