Scientific Computing Research Reports
Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations. Dan Ling, Juan Cheng, Chi-Wang Shu.
Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions. Haijin Wang, Qiang Zhang, Chi-Wang Shu.
Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. Yong Liu, Chi-Wang Shu and Mengping Zhang.
Discontinuous-Galerkin Methods for a Kinetic Model of Self-Organized Dynamics, Francis Filbet and Chi-Wang Shu.
On the convergence to steady state solutions of a new class of high order WENO schemes, Jun Zhu and Chi-Wang Shu.
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials, Zheng Sun, Jose A. Carillo and Chi-Wang Shu.
Implicit positivity preserving high order discontinuous Galerkin methods for conservation laws, Tong Qin and Chi-Wang Shu.
Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates, Dan Ling, Juan Cheng, and Chi-Wang Shu.
On local conservation of numerical methods for conservation laws, Cengke Hi and Chi-Wang Shu.
On the time growth of the error of the DG method for advective problems, Václav Kučera and Chi-Wang Shu.
A New Trouble-Cell Indicator for Discontinuous Galerkin Methods for Hyperbolic Conservation Laws, Guosheng Fu and Chi-Wang Shu.
Entropy stable high order discontinuous Galerkin methods with suitable
quadrature rules for hyperbolic conservation laws, Tianheng Chen and Chi-Wang Shu