An efficient, accurate, simple ale method for nonlinear finite element programs

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

Bram van Leer · Journal of Computational Physics · 1979 · 7K citations

Natural Sciences, Computational Engineering, Mathematics +11

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

A. Brooks, Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1982 · 5.3K citations

Engineering, Computational Engineering, Aerodynamics +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

Difference Methods for Initial-Value Problems

E. I., Robert D. Richtmyer, K. W. Morton · Mathematics of Computation · 1968 · 3.4K citations

Natural Sciences, Mathematics, Differential Equations +11

<i>Difference Methods for Initial-Value Problems</i>

Robert D. Richtmyer, E. H. Dill · Physics Today · 1959 · 3.2K citations · Full text

Natural Sciences, Mathematics, Physics +10