High-order staggered schemes for compressible hydrodynamics. Weak consistency and numerical validation

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

A family of embedded Runge-Kutta formulae

John R. Dormand, P.J. Prince · Journal of Computational and Applied Mathematics · 1980 · 3.6K citations

Computing, Computer Science, Mathematics +8

The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I

Geoffrey Ingram Taylor · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1950 · 3.1K citations

Engineering, Physics, Fluid Dynamics +9

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

Systems of conservation laws

Peter D. Lax, Burton Wendroff · Communications on Pure and Applied Mathematics · 1960 · 2.6K citations

Natural Sciences, Physics, Conservation Theory +7