2 papers
math.NA2024
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…
math.NA2023
High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms
Guanlan Huang, Sebastiano Boscarino, Tao Xiong
In this study, we investigate the Shallow Water Equations incorporating source terms accounting for Manning friction and a non-flat bottom topology. Our primary focus is on develop…