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

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

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

On the solution of nonlinear hyperbolic differential equations by finite differences

Richard Courant, Eugene Isaacson, Mina Rees · Communications on Pure and Applied Mathematics · 1952 · 1K citations

Natural Sciences, Mathematics, Physics +11

Towards the ultimate conservative difference scheme III. Upstream-centered finite-difference schemes for ideal compressible flow

Bram van Leer · Journal of Computational Physics · 1977 · 617 citations

Engineering, Aerospace Engineering, Mechanical Engineering +14