Linear Problem
In the case of a linear problem, where, and without loss of generality, we'll assume that, the upwinded Godunov method yields:
which yields the classical first-order, upwinded Finite Volume scheme whose stability requires .
Read more about this topic: Godunov's Scheme
Famous quotes containing the word problem:
“How much atonement is enough? The bombing must be allowed as at least part-payment: those of our young people who are concerned about the moral problem posed by the Allied air offensive should at least consider the moral problem that would have been posed if the German civilian population had not suffered at all.”
—Clive James (b. 1939)