Modelling wave dynamics of compressible elastic materials

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

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

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

Natural Sciences, Mathematics, Mechanical Engineering +15

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

Systems of Conservation Equations with a Convex Extension

Kurt Friedrichs, Peter D. Lax · Proceedings of the National Academy of Sciences · 1971 · 627 citations · Full text

Natural Sciences, Physics, Conservation Theory +9

Simplified Second-Order Godunov-Type Methods

Scott Francis Davis · SIAM Journal on Scientific and Statistical Computing · 1988 · 440 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +16