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:
“I don’t have any problem with a reporter or a news person who says the President is uninformed on this issue or that issue. I don’t think any of us would challenge that. I do have a problem with the singular focus on this, as if that’s the only standard by which we ought to judge a president. What we learned in the last administration was how little having an encyclopedic grasp of all the facts has to do with governing.”
—David R. Gergen (b. 1942)