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math.NA2023
Exponential DG methods for Vlasov equations
Nicolas Crouseilles, Xue Hong
In this work, an exponential Discontinuous Galerkin (DG) method is proposed to solve numerically Vlasov type equations. The DG method is used for space discretization which is comb…
math.NA2022
A mass conservative Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method for wave equations with large time stepping
Xue Hong, Jing-Mei Qiu
We propose an Eulerian-Lagrangian (EL) Runge-Kutta (RK) discontinuous Galerkin (DG) method for wave equations. The method is designed based on the ELDG method for transport problem…
math.NA2021★ 2 cited
A Generalized Eulerian-Lagrangian Discontinuous Galerkin Method for Transport Problems
Xue Hong, Jing-Mei Qiu
We propose a generalized Eulerian-Lagrangian (GEL) discontinuous Galerkin (DG) method. The method is a generalization of the Eulerian-Lagrangian (EL) DG method for transport proble…