High-Order Scheme for a Nonlinear Maxwell System Modelling Kerr Effect

Computational electrodynamics, the finite-difference time-domain method

M. Rycroft · Journal of Atmospheric and Terrestrial Physics · 1996 · 9.5K citations

Computing, Electrical Engineering, Physics +14

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

On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

Amiram Harten, Peter D. Lax, Bram van Leer · SIAM Review · 1983 · 3.3K citations

Natural Sciences, Mechanical Engineering, Physics +12

Convergence of approximate solutions to conservation laws

Ronald J. DiPerna · Archive for Rational Mechanics and Analysis · 1983 · 570 citations

Natural Sciences, Physics, Computational Fluid Dynamics +11

On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe

Bram van Leer · SIAM Journal on Scientific and Statistical Computing · 1984 · 455 citations · Full text

Natural Sciences, Computational Engineering, Physics +17