36 citations · 101 across the 18 of their papers we have counts for
4 papers · 1 filter
High Order Semi-Lagrangian Discontinuous Galerkin Method Coupled with Runge-Kutta Exponential Integrators for Nonlinear Vlasov Dynamics
Xiaofeng Cai, Sebastiano Boscarino, Jing-Mei Qiu
In this paper, we propose a semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The commutator…
Semi-Lagrangian implicit Bhatnagar-Gross-Krook collision model for the finite-volume discrete Boltzmann method
Leitao Chen, Sauro Succi, Xiaofeng Cai +1
A new implicit BGK collision model using a semi-Lagrangian approach is proposed in this paper. Unlike existing models, in which the implicit BGK collision is resolved either by a t…
A semi-Lagrangian discontinuous Galerkin (DG) -- local DG method for solving convection-diffusion equations
Mingchang Ding, Xiaofeng Cai, Wei Guo +1
In this paper, we propose an efficient high order semi-Lagrangian (SL) discontinuous Galerkin (DG) method for solving linear convection-diffusion equations. The method generalizes…
Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations
Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
Transport problems arise across diverse fields of science and engineering. Semi-Lagrangian (SL) discontinuous Galerkin (DG) methods are a class of high order deterministic transpor…