Hyperbolic equations 2

• What does TVD stand for?
• What is Godunov’s theorem?
• T/F: we have several linear TVD schemes that are second-order accurate?
• T/F: a flux limiter forms a combination of a low-order scheme (like upwind) and a higher order scheme (like central difference).
  • T/F: The “combination” is formed using the nonlinear function $\phi(r)$.
  • T/F: There are lots of $\phi(r)$, each with their own name
  • What is $r$?
• What is your favorite TVD scheme?
• What are WENO schemes? What does WENO stand for? (Google this, it’s not in the notes).
  • How old were your parents when the first WENO method was developed by Liu, Osher, and Chan?
• Why are the Euler equations for low-Mach fluid flows stiff?