47 citations · 103 across the 9 of their papers we have counts for
4 papers · 1 filter
Time-dependent Hermite-Galerkin spectral method and its applications
Xue Luo, Shing-Tung Yau, Stephen S. -T. Yau
A time-dependent Hermite-Galerkin spectral method (THGSM) is investigated in this paper for the nonlinear convection-diffusion equations in the unbounded domains. The time-dependen…
2D homogeneous solutions to the Euler equation
Xue Luo, Roman Shvydkoy
In this paper we study classification of homogeneous solutions to the stationary Euler equation with locally finite energy. Written in the form , $Ψ(r,θ) = r^λ…
On the quenching behavior of the MEMS with fringing field
Xue Luo, Stephen S. -T. Yau
The singular parabolic problem on a bounded domain of with Dirichlet boundary condition, models the Microele…
On Classification of Toric Surface Codes of Low Dimension
Xue Luo, Stephen S. -T. Yau, Mingyi Zhang +1
This work is a natural continuation of our previous work \cite{yz}. In this paper, we give a complete classification of toric surface codes of dimension less than or equal to 6, ex…