Courant number

From Encyclopedia of Mathematics
Jump to: navigation, search

A term used in the consideration of difference schemes for integrating one-dimensional hyperbolic systems. If $\tau$ is the grid spacing with respect to $t$, $h$ the grid spacing with respect to $x$ and $\lambda$ the maximum inclination of the characteristics, then the Courant number of the difference scheme equals $\lambda\tau/h$.


[1] S.K. Godunov, V.S. Ryaben'kii, "The theory of difference schemes" , North-Holland (1964) (Translated from Russian)


The Courant number plays a role in the Courant–Friedrichs–Lewy condition. References are given there.

How to Cite This Entry:
Courant number. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by N.S. Bakhvalov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article