3 papers
math.NA2025
Inverse Lax-Wendroff boundary treatment for solving conservation laws with finite difference HWENO methods
Guangyao Zhu, Yan Jiang, Zhuang Zhao +1
This paper presents a novel inverse Lax-Wendroff (ILW) boundary treatment for finite difference Hermite weighted essentially non-oscillatory (HWENO) schemes to solve hyperbolic con…
math.NA2025
Structure-preserving nodal DG method for the Euler equations with gravity: well-balanced, entropy stable, and positivity preserving
Yuchang Liu, Wei Guo, Yan Jiang +1
We propose an entropy stable and positivity preserving discontinuous Galerkin (DG) scheme for the Euler equations with gravity, which is also well-balanced for hydrostatic equilibr…
math.NA2025
A globally divergence-free entropy stable nodal DG method for conservative ideal MHD equations
Yuchang Liu, Wei Guo, Yan Jiang +1
We propose an arbitrarily high-order globally divergence-free entropy stable nodal discontinuous Galerkin (DG) method to directly solve the conservative form of the ideal MHD equat…