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math.NA2022★ 12 cited
Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations
Zhuang Zhao, Min Zhang
In this paper, we propose a well-balanced fifth-order finite difference Hermite WENO (HWENO) scheme for the shallow water equations with non-flat bottom topography in pre-balanced…
math.NA2022★ 19 cited
A fifth-order finite difference HWENO scheme combined with limiter for hyperbolic conservation laws
Min Zhang, Zhuang Zhao
In this paper, a simple fifth-order finite difference Hermite WENO (HWENO) scheme combined with limiter is proposed for one- and two- dimensional hyperbolic conservation laws. The…