A characteristic-featured shock wave indicator on unstructured grids based on training an artificial neuron

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

Bram van Leer · Journal of Computational Physics · 1979 · 7K citations

Natural Sciences, Computational Engineering, Mathematics +11

Strong Stability-Preserving High-Order Time Discretization Methods

Sigal Gottlieb, Chi‐Wang Shu, Eitan Tadmor · SIAM Review · 2001 · 2.5K citations

Computing, Computational Engineering, Computational Fluid Dynamics +16

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

The design and application of upwind schemes on unstructured meshes

Timothy J. Barth, Dennis C. Jespersen · 27th Aerospace Sciences Meeting · 1989 · 2.2K citations

Computing, Computational Engineering, Mathematics +10

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