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math.NA2023
An absolutely convergent fixed-point fast sweeping WENO method on triangular meshes for steady state of hyperbolic conservation laws
Liang Li, Jun Zhu, Yong-Tao Zhang
High order fast sweeping methods for efficiently solving steady state solutions of hyperbolic PDEs were not available yet on unstructured meshes. In this paper, we extend high orde…
math.NA2023
A compact simple HWENO scheme with ADER time discretization for hyperbolic conservation laws I: structured meshes
Dongmi Luo, Shiyi Li, Jianxian Qiu +2
In this paper, a compact and high order ADER (Arbitrary high order using DERivatives) scheme using the simple HWENO method (ADER-SHWENO) is proposed for hyperbolic conservation law…