78 citations · 84 across the 3 of their papers we have counts for
3 papers
physics.comp-ph2019★ 6 cited
A fast implicit solver for semiconductor models in one space dimension
M. Paul Laiu, Zheng Chen, Cory D. Hauck
Several different approaches are proposed for solving fully implicit discretizations of a simplified Boltzmann-Poisson system with a linear relaxation-type collision kernel. This s…
math.NA2017
Multiscale convergence properties for spectral approximations of a model kinetic equation
Zheng Chen, Cory D. Hauck
In this work, we prove rigorous convergence properties for a semi-discrete, moment-based approximation of a model kinetic equation in one dimension. This approximation is equivalen…
math.NA2015★ 78 cited
Third order Maximum-Principle-Satisfying Direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangle mesh
Zheng Chen, Hongying Huang, Jue Yan
We develop 3rd order maximum-principle-satisfying direct discontinuous Galerkin methods [8, 9, 19, 21] for convection diffusion equations on unstructured triangular mesh. We carefu…