1 citations · 1 across the 7 of their papers we have counts for
8 papers
Dynamical low-rank methods for the Wigner equation I: separable difference potential
Sihong Shao, Yuehan Shao
Recent advances in dynamical low-rank approximation (DLRA) have demonstrated its effectiveness in high-dimensional simulations. However, existing DLRA algorithms still face signifi…
Solving Vlasov-Poisson system with an adaptive Hermite spectral method
Sihong Shao, Yanli Wang, Jie Wu
We propose an adaptive Hermite spectral method for the Vlasov-Poisson system based on a recently developed frequency indicator that measures the contribution of the high-order expa…
Weak Adversarial Neural Pushforward Method for the Wigner Transport Equation
Andrew Qing He, Wei Cai, Sihong Shao
We extend the Weak Adversarial Neural Pushforward Method to the Wigner transport equation governing the phase-space dynamics of quantum systems. The central contribution is a struc…
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,…
A characteristic-spectral-mixed scheme for six-dimensional Wigner-Coulomb dynamics
Yunfeng Xiong, Yong Zhang, Sihong Shao
Numerical resolution for 6-D Wigner dynamics under the Coulomb potential faces with the combined challenges of high dimensionality, nonlocality, oscillation and singularity. In par…