Energy conserving discontinuous Galerkin spectral element method for the Vlasov–Poisson system

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn et al. · SIAM Journal on Numerical Analysis · 2002 · 3.2K citations

Computing, Computational Engineering, Computational Mechanics +11

The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

Bernardo Cockburn, Chi‐Wang Shu · SIAM Journal on Numerical Analysis · 1998 · 2.4K citations · Full text

Computing, Computational Engineering, Computational Fluid Dynamics +14

Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later

C Moler, Charles Van Loan · SIAM Review · 2003 · 2.4K citations

Natural Sciences, Computer Science, Computational Mechanics +14

The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V

Bernardo Cockburn, Chi‐Wang Shu · Journal of Computational Physics · 1998 · 2.2K citations

Engineering, Computational Engineering, Mechanical Engineering +12

TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework

Bernardo Cockburn, Chi‐Wang Shu · Mathematics of Computation · 1989 · 1.9K citations · Full text

Computing, Computational Engineering, Mechanical Engineering +17