A Second-Order Accurate, Component-Wise TVD Scheme for Nonlinear, Hyperbolic Conservation Laws

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

Efficient implementation of essentially non-oscillatory shock-capturing schemes, II

Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics · 1989 · 4.9K citations

Natural Sciences, Computational Engineering, Physics +10

High resolution schemes for hyperbolic conservation laws

Ami Harten · Journal of Computational Physics · 1983 · 4.1K citations · Full text

Natural Sciences, Mathematics, Physics +14

Uniformly high order accurate essentially non-oscillatory schemes, III

Ami Harten, Björn Engquist, Stanley Osher et al. · Journal of Computational Physics · 1987 · 3K citations

Natural Sciences, Computer Science, Mathematics +12

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

Paul R. Woodward, Phillip Colella · Journal of Computational Physics · 1984 · 2.9K citations

Natural Sciences, Mathematics, Physics +14