28 citations · 50 across the 19 of their papers we have counts for
4 papers · 1 filter
An asymptotic-preserving IMEX PN method for the gray model of the radiative transfer equation
Jinxue Fu, Juan Cheng, Weiming Li +2
An asymptotic-preserving (AP) implicit-explicit PN numerical scheme is proposed for the gray model of the radiative transfer equation, where the first- and second-order numerical s…
Bound-preserving OEDG schemes for Aw-Rascle-Zhang traffic models on networks
Wei Chen, Shumo Cui, Kailiang Wu +1
Physical solutions to the widely used Aw-Rascle-Zhang (ARZ) traffic model and the adapted pressure (AP) ARZ model should satisfy the positivity of density, the minimum and maximum…
High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format
William A. Sands, Wei Guo, Jing-Mei Qiu +1
In this paper, we present a new adaptive rank approximation technique for computing solutions to the high-dimensional linear kinetic transport equation. The approach we propose is…
High order conservative LDG-IMEX methods for the degenerate nonlinear non-equilibrium radiation diffusion problems
Shaoqin Zheng, Min Tang, Qiang Zhang +1
In this paper, we develop a class of high-order conservative methods for simulating non-equilibrium radiation diffusion problems. Numerically, this system poses significant challen…