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math.NA2026
A Globally Conservative Compact Framework for Conservation Laws: Fourth-Order Schemes with Enhanced Resolution and Stability
Weifeng Hou, Zhangpeng Sun, Wenqi Yao +1
The compact finite difference method is a powerful tool for discretizing conservation laws, owing to its inherent flexibility in developing high-resolution and highly stable scheme…
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.NA2014★ 1 cited
Convergence of Semi-discrete Stationary Wigner Equation with Inflow Boundary Conditions
Ruo Li, Tiao Lu, Zhangpeng Sun
Making use of the Whittaker-Shannon interpolation formula with shifted sampling points, we propose in this paper a well-posed semi-discretization of the stationary Wigner equation…