A well-balanced scheme for the shallow-water equations with topography or Manning friction

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

Open channel hydraulics

William C. Yager · Journal of the Franklin Institute · 1960 · 4.9K citations

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

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

Restoration of the contact surface in the HLL-Riemann solver

Eleuterio F. Toro, M. Spruce, W. Speares · Shock Waves · 1994 · 2.4K citations

Engineering, Computational Engineering, Mathematics +10