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math.NA2024
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…
math.NA2024
A new type of simplified inverse Lax-Wendroff boundary treatment I: hyperbolic conservation laws
Shihao Liu, Tingting Li, Ziqiang Cheng +3
In this paper, we design a new kind of high order inverse Lax-Wendroff (ILW) boundary treatment for solving hyperbolic conservation laws with finite difference method on a Cartesia…