Courant–Friedrichs–Lewy condition

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Revision as of 11:04, 26 August 2012

It is an important stability criterion for hyperbolic equations.

In common case it's written as

$C=c\frac{\Delta t}{\Delta x} \leq 1$

(2)

where C is called the Courant number

Courant, R., K. O. Fredrichs, and H. Lewy (1928), "Uber die Differenzengleichungen der Mathematischen Physik", Math. Ann, vol.100, p.32, 1928.

Anderson, Lohn David (1995), "Computational fluid dynamics: the basics with applications", McGraw-Hill, Inc.

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	{{reference-paper \| author=Courant, R., K. O. Fredrichs, and H. Lewy \| year=1928 \| title=Uber die Differenzengleichungen der Mathematischen Physik \| rest=Math. Ann, vol.100, p.32, 1928}}		{{reference-paper \| author=Courant, R., K. O. Fredrichs, and H. Lewy \| year=1928 \| title=Uber die Differenzengleichungen der Mathematischen Physik \| rest=Math. Ann, vol.100, p.32, 1928}}
		+
		+	{{reference-paper \| author=Anderson, Lohn David \| year=1995 \| title=Computational fluid dynamics: the basics with applications \| rest=McGraw-Hill, Inc}}