47 citations · 317 across the 48 of their papers we have counts for
5 papers · 1 filter
Uniform regularity for linear kinetic equations with random input based on hypocoercivity
Qin Li, Li Wang
In this paper we study the effect of randomness in kinetic equations that preserve mass. Our focus is in proving the analyticity of the solution with respect to the randomness, whi…
An asymptotic preserving method for transport equations with oscillatory scattering coefficients
Qin Li, Jianfeng Lu
We design a numerical scheme for transport equations with oscillatory periodic scattering coefficients. The scheme is asymptotic preserving in the diffusion limit as Knudsen number…
Exploring the locally low dimensional structure in solving random elliptic PDEs
Thomas Y. Hou, Qin Li, Pengchuan Zhang
We propose a stochastic multiscale finite element method (StoMsFEM) to solve random elliptic partial differential equations with a high stochastic dimension. The key idea is to sim…
Validity and regularization of classical half-space equations
Qin Li, Jianfeng Lu, Weiran Sun
Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the cor…
Implicit Asymptotic Preserving Method for Linear Transport Equations
Qin Li, Li Wang
The computation of the radiative transfer equation is expensive mainly due to two stiff terms: the transport term and the collision operator. The stiffness in the former comes from…