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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…
math.PR2024
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…