# Courant number

From Encyclopedia of Mathematics

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 $\lambda\tau/h$.

#### References

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

#### Comments

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: http://www.encyclopediaofmath.org/index.php?title=Courant_number&oldid=32786

This article was adapted from an original article by N.S. Bakhvalov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article