2 papers
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,…
cs.LG2024
DeepSPoC: A Deep Learning-Based PDE Solver Governed by Sequential Propagation of Chaos
Kai Du, Yongle Xie, Tao Zhou +1
Sequential propagation of chaos (SPoC) is a recently developed tool to solve mean-field stochastic differential equations and their related nonlinear Fokker-Planck equations. Based…