830 citations · 1.5k across the 28 of their papers we have counts for
Showing 2016 · math.NAShow all
3 papers · 2 filters
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★ 18 cited
A WENO-based Method of Line Transpose Approach for Vlasov Simulations
Andrew Christlieb, Wei Guo, Yan Jiang
In this paper, a high order implicit Method of Line Transpose (MOL ) method based on a weighted essentially non-oscillatory (WENO) methodology is developed for one-dimensional…
math.NA2016★ 1 cited
A sparse grid discontinuous Galerkin method for high-dimensional transport equations and its application to kinetic simulations
Wei Guo, Yingda Cheng
In this paper, we develop a sparse grid discontinuous Galerkin (DG) scheme for transport equations and applied it to kinetic simulations. The method uses the weak formulations of t…