830 citations · 1.5k across the 28 of their papers we have counts for
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math.NA2018★ 1 cited
A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting
Xiaofeng Cai, Wei Guo, Jingmei Qiu
In this paper, we generalize a high order semi-Lagrangian (SL) discontinuous Galerkin (DG) method for multi-dimensional linear transport equations without operator splitting develo…
math.NA2018★ 8 cited
A Kernel Based High Order "Explicit" Unconditionally Stable Scheme for Time Dependent Hamilton-Jacobi Equations
Andrew Christlieb, Wei Guo, Yan Jiang
In this paper, a class of high order numerical schemes is proposed for solving Hamilton-Jacobi (H-J) equations. This work is regarded as an extension of our previous work for nonli…