36 citations · 101 across the 18 of their papers we have counts for
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math.NA2016★ 1 cited
A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations
Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
In this paper, we develop a class of high order conservative semi-Lagrangian (SL) discontinuous Galerkin (DG) methods for solving multi-dimensional linear transport equations. The…
math.NA2016
Finite volume HWENO schemes for nonconvex conservation laws
Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
We illustrate that numerical solutions of high order finite volume Hermite weighted essentially non-oscillatory (HWENO) scheme for some nonconvex conservation laws perform poorly o…
math.NA2016★ 22 cited
A conservative semi-Lagrangian HWENO method for the Vlasov equation
Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
In this paper, we present a high order conservative semi-Lagrangian (SL) Hermite weighted essentially non-oscillatory (HWENO) method for the Vlasov equation based on dimensional sp…