35 citations · 127 across the 19 of their papers we have counts for
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math.NA2023★ 1 cited
On a numerical artifact of solving shallow water equations with a discontinuous bottom: Analysis and a nontransonic fix
Zheng Sun, Yulong Xing
In this paper, we study a numerical artifact of solving the nonlinear shallow water equations with a discontinuous bottom topography. For various first-order schemes, the numerical…
math.NA2023★ 2 cited
The Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
Qifan Chen, Zheng Sun, Yulong Xing
In this paper, we develop a new type of Runge--Kutta (RK) discontinuous Galerkin (DG) method for solving hyperbolic conservation laws. Compared with the original RKDG method, the n…