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math.NA2023
Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics
Chaoyi Cai, Jianxian Qiu, Kailiang Wu
The relativistic hydrodynamics (RHD) equations have three crucial intrinsic physical constraints on the primitive variables: positivity of pressure and density, and subluminal flui…
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…