Courant number

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


[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. N.S. Bakhvalov (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098