3 papers
math.NA2026
Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations
Wenjie Liu, Ruiyi Xie, Li-Lian Wang +1
The local discontinuous Galerkin (LDG) method proposed by Castillo et al. [Math. Comp.,~71 (238): 455-478, 2002] has been shown to be an efficient approach for solving convect…
math.NA2025
Fast Maxwell Solvers Based on Exact Discrete Eigen-Decompositions I. Two-Dimensional Case
Lixiu Wang, Lueling Jia, Zijian Cao +2
In this paper, we propose fast solvers for Maxwell's equations in rectangular domains. We first discretize the simplified Maxwell's eigenvalue problems by employing the lowest-orde…
math.NA2025
Spectral Method for 1-D Neutron Transport Equation
Haonan Zhang, Huiyuan Li, Zhimin Zhang
In this paper, we present an efficient fully spectral approximation scheme for exploring the one-dimensional steady-state neutron transport equation. Our methodology integrates the…