19 citations · 23 across the 4 of their papers we have counts for
4 papers
On the rotational invariance and hyperbolicity of shallow water moment equations in two dimensions
Matthew Bauerle, Andrew J. Christlieb, Mingchang Ding +1
In this paper, we investigate the two-dimensional extension of a recently introduced set of shallow water models based on a regularized moment expansion of the incompressible Navie…
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…
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…
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…