35 citations · 127 across the 19 of their papers we have counts for
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math.NA2020★ 2 cited
High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations
Yupeng Ren, Yulong Xing, Jianxian Qiu
In this paper, we propose a novel Hermite weighted essentially non-oscillatory (HWENO) fast sweeping method to solve the static Hamilton-Jacobi equations efficiently. During the HW…
math.NA2020★ 35 cited
Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness
Kailiang Wu, Yulong Xing
This paper presents a class of novel high-order accurate discontinuous Galerkin (DG) schemes for the compressible Euler equations under gravitational fields. A notable feature of t…