2 papers
math.NA2026
Decoupled energy-stable Runge-Kutta schemes of arbitrary order for the anisotropic phase-field dendritic crystal growth model
Weiwen Wang, Chuanju Xu, Shaoqin Zheng
This paper introduces a novel and general framework for constructing arbitrary-order, energy-stable, and decoupled schemes for the anisotropic phase-field dendritic crystal growth…
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…