Upwind schemes and boundary conditions with applications to Euler equations in general geometries

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

Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods

J. L. Steger, R. F. Warming · Journal of Computational Physics · 1981 · 2.1K citations

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Numerical Solution of Partial Differential Equations.

G. W. Hedstrom, G. D. Smith · American Mathematical Monthly · 1966 · 1.5K citations

Natural Sciences, Computational Engineering, Physics +14

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

Upwind difference schemes for hyperbolic systems of conservation laws

Stanley Osher, Fred Solomon · Mathematics of Computation · 1982 · 775 citations

Natural Sciences, Mathematics, Physics +17