From the 1 of 7 linked papers with an AI index.
7 papers
An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations
Shun Li, Yan Jiang, Mengping Zhang +1
The paper introduces an asymptotic‑preserving dynamical low‑rank semi‑Lagrangian scheme for multiscale linear kinetic transport equations, achieving stability with large time steps…
Structure-preserving nodal DG method for Euler equations with gravity II: general equilibrium states
Yuchang Liu, Wei Guo, Yan Jiang +1
We develop an entropy-stable nodal discontinuous Galerkin (DG) scheme for the Euler equations with gravity, which is also well-balanced with respect to general equilibrium solution…
Temporal-Stability-Enhanced and Energy-Stable Dynamical Low-Rank Approximation for Multiscale Linear Kinetic Transport Equations
Shun Li, Yan Jiang, Mengping Zhang +1
In this paper, we develop an asymptotic-preserving dynamical low-rank method for the multiscale linear kinetic transport equation. The proposed scheme is unconditionally stable in…
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…
Non-oscillatory entropy stable DG schemes for hyperbolic conservation law
Yuchang Liu, Wei Guo, Yan Jiang +1
In this paper, we propose a class of non-oscillatory, entropy-stable discontinuous Galerkin (NOES-DG) schemes for solving hyperbolic conservation laws. By incorporating a specific…
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…