Further studies on numerical instabilities of Godunov-type schemes for strong shocks

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

Philip L. Roe · Journal of Computational Physics · 1997 · 6.3K citations

Natural Sciences, Mathematics, Physics +15

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

Efficient implementation of essentially non-oscillatory shock-capturing schemes

Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics · 1988 · 4.7K citations · Full text

Natural Sciences, Computational Engineering, Physics +11

High resolution schemes for hyperbolic conservation laws

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

Natural Sciences, Mathematics, Physics +14

On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

Amiram Harten, Peter D. Lax, Bram van Leer · SIAM Review · 1983 · 3.3K citations

Natural Sciences, Mechanical Engineering, Physics +12