3 citations · 3 across the 5 of their papers we have counts for
5 papers
Localized Orthogonal Decomposition Method with Interpolation for Multiscale Elliptic Problem
Tao Yu, Xingye Yue
This paper employs a localized orthogonal decomposition (LOD) method with interpolation for solving the multiscale elliptic problem. This method does not need any assumptions…
Heterogeneous Multiscale Method for elliptic problem without scale separation
Tao Yu, Xingye Yue, Changjuan Zhang
This paper shows that the Heterogeneous Multiscale Method can be applied to elliptic problem without scale separation. The Localized Orthogonal Method is a special case of the Hete…
A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation
Jing Guo, Cheng Wang, Yue Yan +1
In this article we present a refined convergence analysis for a second order accurate in time, fourth order finite difference numerical scheme for the 3-D Cahn-Hilliard equation, w…
The Cumulative Distribution Function Based Method for Random Drift Model
Chenghua Duan, Chun Liu, Xingye Yue
In this paper, we propose a numerical method to uniformly handle the random genetic drift model for pure drift with or without natural selection and mutation. For pure drift and na…
A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation
Chun Liu, Cheng Wang, Steven M. Wise +2
A second order accurate (in time) numerical scheme is proposed and analyzed for the Poisson-Nernst-Planck equation (PNP) system, reformulated as a non-constant mobility gr…