The artificial compression method for computation of shocks and contact discontinuities. I. Single conservation laws

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

Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme

Bram van Leer · Journal of Computational Physics · 1974 · 2.2K citations

Natural Sciences, Computational Engineering, Mathematics +14

A Method for the Numerical Calculation of Hydrodynamic Shocks

J. VonNeumann, Robert D. Richtmyer · Journal of Applied Physics · 1950 · 2.1K citations

Natural Sciences, Mathematics, Physics +10

Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works

Jay P. Boris, David Book · Journal of Computational Physics · 1973 · 2.1K citations

Engineering, Earth Sciences, Computational Fluid Dynamics +8

Discontinuous solutions of non-linear differential equations

O. A. Oleĭnik · Translations - American Mathematical Society/Translations · 1963 · 554 citations

Natural Sciences, Mathematics, Differential Equations +11