Question by Student 201627128 Professor, in class when you explained how to find WENO3, you found a highest degree polynomial through the data points. Using a similar approach I was able to find $u_L$ equal to 4.5 as in the solutions, however, when I apply the same strategy to find $u_R$, I get 4.25 instead, which does not match the solution. I tried to do it in reconstruction evolution and again found 4.5 for $u_L$ but this time $u_R$ becomes 5. Is there a separate approach to find $u_R$?
I don't understand why using reconstruction-evolution would give you a different answer. You need to find $u_{\rm R}$ by interpolating $u$. Once $u$ is interpolated and $u_{\rm L}$ and $u_{\rm R}$ are found, then apply reconstruction evolution.
 Question by Prasanna Professor, for assignment #7, question #3 (c), I did my calculation as follows: I get a slightly different answer from my calculation. However, the answer is the same as the one posted only if I choose the wavespeed $a=u$ and not $a=u/2$.
For $f$ and $u$ given, there is only one wave speed not two.
 $\pi$