Courant number
From Encyclopedia of Mathematics
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 
.
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://encyclopediaofmath.org/index.php?title=Courant_number&oldid=32786
Courant number. Encyclopedia of Mathematics. URL: http://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