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math.NA2021★ 1 cited
Accuracy and stability analysis of the Semi-Lagrangian method for stiff hyperbolic relaxation systems and kinetic BGK model
Mingchang Ding, Jing-Mei Qiu, Ruiwen Shu
In this paper, we develop a family of third order asymptotic-preserving (AP) and asymptotically accurate (AA) diagonally implicit Runge-Kutta (DIRK) time discretization methods for…
math.NA2021★ 2 cited
Semi-Lagrangian nodal discontinuous Galerkin method for the BGK Model
Mingchang Ding, Jing-Mei Qiu, Ruiwen Shu
In this paper, we propose an efficient, high order accurate and asymptotic-preserving (AP) semi-Lagrangian (SL) method for the BGK model with constant or spatially dependent Knudse…