830 citations · 1.5k across the 28 of their papers we have counts for
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math.NA2017★ 36 cited
A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting
Xiaofeng Cai, Wei Guo, Jingmei Qiu
In this paper, we develop a high order semi-Lagrangian (SL) discontinuous Galerkin (DG) method for nonlinear Vlasov-Poisson (VP) simulations without operator splitting. In particul…
math.NA2017★ 8 cited
Kernel Based High Order "Explicit" Unconditionally-Stable Scheme for Nonlinear Degenerate Advection-Diffusion Equations
Andrew Christlieb, Wei Guo, Yan Jiang
In this paper, we present a novel numerical scheme for solving a class of nonlinear degenerate parabolic equations with non-smooth solutions. The proposed method relies on a specia…