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math.NA2018★ 2 cited
Sparse Grid Discontinuous Galerkin Methods for the Vlasov-Maxwell System
Zhanjing Tao, Wei Guo, Yingda Cheng
In this paper, we develop sparse grid discontinuous Galerkin (DG) schemes for the Vlasov-Maxwell (VM) equations. The VM system is a fundamental kinetic model in plasma physics, and…
math.NA2016★ 1 cited
An Adaptive Multiresoluton Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multi-dimensions
Wei Guo, Yingda Cheng
In this paper, we develop an adaptive multiresolution discontinuous Galerkin (DG) scheme for time-dependent transport equations in multi-dimensions. The method is constructed using…