Roe Matrices for Ideal MHD and Systematic Construction of Roe Matrices for Systems of Conservation Laws

Approximate Riemann solvers, parameter vectors, and difference schemes

Philip L. Roe · Journal of Computational Physics · 1981 · 9.1K citations

Natural Sciences, Mathematics, Physics +15

The Piecewise Parabolic Method (PPM) for gas-dynamical simulations

Phillip Colella, Paul R. Woodward · Journal of Computational Physics · 1984 · 4K citations

Natural Sciences, Computational Engineering, Physics +8

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

Weak solutions of nonlinear hyperbolic equations and their numerical computation

Peter D. Lax · Communications on Pure and Applied Mathematics · 1954 · 1.8K citations

Natural Sciences, Mathematics, Physics +16

An upwind differencing scheme for the equations of ideal magnetohydrodynamics

M. Brio, Cong Wu · Journal of Computational Physics · 1988 · 817 citations

Natural Sciences, Mathematics, Physics +13