A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids

Compact finite difference schemes with spectral-like resolution

Sanjiva K. Lele · Journal of Computational Physics · 1992 · 6K citations

Numerical Analysis, Spectral Theory, Engineering +5

Weighted Essentially Non-oscillatory Schemes

Xudong Liu, Stanley Osher, Tony F. Chan · Journal of Computational Physics · 1994 · 3.3K citations

Numerical Analysis, Oscillation Theory, Geometric Singular Perturbation Theory +2

Uniformly high order accurate essentially non-oscillatory schemes, III

Ami Harten, Björn Engquist, Stanley Osher et al. · Journal of Computational Physics · 1987 · 2.9K citations

Numerical Analysis, Engineering, Perturbation Method +3

The numerical simulation of two-dimensional fluid flow with strong shocks

Paul R. Woodward, Phillip Colella · Journal of Computational Physics · 1984 · 2.8K citations

Numerical Analysis, Strong Shocks, Compressible Flow +8

Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection

Bram van Leer · Journal of Computational Physics · 1977 · 2.4K citations

Numerical Analysis, Engineering, Mixed Convection +9