1 citations · 1 across the 3 of their papers we have counts for
4 papers
Stochastic particle method with birth-death dynamics
Jingyang Huang, Zhengyang Lei, Sihong Shao
In order to numerically solve high-dimensional nonlinear PDEs and alleviate the curse of dimensionality, a stochastic particle method (SPM) has been proposed to capture the relevan…
Density estimation via mixture discrepancy and moments
Zhengyang Lei, Lirong Qu, Sihong Shao +1
With the aim of generalizing histogram statistics to higher dimensional cases, density estimation via discrepancy based sequential partition (DSP) has been proposed to learn an ada…
Adaptive sampling accelerates the hybrid deviational particle simulations
Zhengyang Lei, Sihong Shao
To avoid ineffective collisions between the equilibrium states, the hybrid method with deviational particles (HDP) has been proposed to integrate the Vlasov-Poisson-Landau system,…
An efficient stochastic particle method for high-dimensional nonlinear PDEs
Zhengyang Lei, Sihong Shao, Yunfeng Xiong
Numerical resolution of high-dimensional nonlinear PDEs remains a huge challenge due to the curse of dimensionality. Starting from the weak formulation of the Lawson-Euler scheme,…