3 papers
math-ph2018
Well-posedness of a non-local abstract Cauchy problem with a singular integral
H. Jiang, T. Lu, X. Zhu
A non-local abstract Cauchy problem with a singular integral is studied, which is a closed system of two evolution equations for a real-valued function and a function-valued functi…
math.NA2016
Singularity-free Numerical Scheme for the Stationary Wigner Equation
Tiao Lu, Zhangpeng Sun
For the stationary Wigner equation with inflow boundary conditions, its numerical convergence with respect to the velocity mesh size are deteriorated due to the singularity at velo…
math.AP2016
Parity-decomposition and Moment Analysis for Stationary Wigner Equation with Inflow Boundary Conditions
Ruo Li, Tiao Lu, Zhangpeng Sun
We study the stationary Wigner equation on a bounded, one-dimensional spatial domain with inflow boundary conditions by using the parity decomposition in (Barletti and weifel, Tran…