2 papers
math.NA2024
Well-balanced fifth-order finite volume WENO schemes with constant subtraction technique for shallow water equations
Lidan Zhao, Zhanjing Tao, Min Zhang
In this paper, we propose a new well-balanced fifth-order finite volume WENO method for solving one- and two-dimensional shallow water equations with bottom topography. The well-ba…
math.NA2024
An efficient fifth-order interpolation-based Hermite WENO scheme for hyperbolic conservation laws
Xiaoyang Xie, Zhanjing Tao, Chunhai Jiao +1
In this paper, we develop a simple, efficient, and fifth-order finite difference interpolation-based Hermite WENO (HWENO-I) scheme for one- and two-dimensional hyperbolic conservat…