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math.NA2025
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…
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,…
math.NA2024
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…