Difference between revisions of "Courant number"
From Encyclopedia of Mathematics
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| − | A term used in the consideration of difference schemes for integrating one-dimensional hyperbolic systems. If | + | {{TEX|done}} |
| + | 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==== | ====References==== | ||
Latest revision as of 10:39, 10 August 2014
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://encyclopediaofmath.org/index.php?title=Courant_number&oldid=15005
Courant number. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Courant_number&oldid=15005
This article was adapted from an original article by N.S. Bakhvalov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article