Key Reference for Discontinuous Galerkin methods
Qiu JX, Khoo BC, Shu CW: A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes, JOURNAL OF COMPUTATIONAL PHYSICS 212 (2): 540-565 MAR 1 2006
Qiu JX, Shu CW: Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM JOURNAL ON SCIENTIFIC COMPUTING 26 (3): 907-929 2005
Qiu JX, Shu CW: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case, JOURNAL OF COMPUTATIONAL PHYSICS 193 (1): 115-135 JAN 1 2004
Cockburn B, Shu CW: Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems, JOURNAL OF SCIENTIFIC COMPUTING, 16(3): 173-261 SEPT 2001
Cockburn B, Shu CW: The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM JOURNAL ON NUMERICAL ANALYSIS 35 (6): 2440-2463 NOV 16 1998
Cockburn B, Shu CW: The Runge-Kutta discontinuous Galerkin method for conservation laws V - Multidimensional systems, JOURNAL OF COMPUTATIONAL PHYSICS 141 (2): 199-224 APR 10 1998
Cockburn B, Gremaud PA: Error estimates for finite element methods for scalar conservation laws, SIAM JOURNAL ON NUMERICAL ANALYSIS 33 (2): 522-554 APR 1996
Jiang GS, Shu CW: On a cell entropy inequality for discontinuous Galerkin methods, MATHEMATICS OF COMPUTATION 62 (206): 531-538 APR 1994.
Cockburn B, Shu CW: The Runge-Kutta local projection P1-discontinuous Galerkin finite element method for scalar conservation laws, Mathematical Modelling and Numerical Analysis (M^2 AN), v25 (1991), pp.337-361.
Cockburn B, Hou S, Shu CW: The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case, Mathematics of Computation, v54 (1990), pp.545-581.
Cockburn B, Shu CW: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework, Mathematics of Computation, v52 (1989), pp.411-435.
Cockburn B, Lin SY, Shu CW: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one dimensional systems, JOURNAL OF COMPUTATIONAL PHYSICS , v84 (1989), pp.90-113.