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{\bf CME306 / CS205B Extra Credit 1 (Theory Track)}
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Consider the initial-value problem for Burgers' equation:
\begin{equation}\label{eqn:burgers}
\begin{cases}
  u_t+\left(\frac{u^2}{2}\right)_x=0 &  $ for $(x,t) \in \Re \times (0, \infty)\\
  u(x,0)=\sin(2\pi{x})
\end{cases}
\end{equation}

Use second order ENO-LLF to compute the solution at time $t=.25$.  Plot your solutions on the domain $x\in[0,1]$.  Submit this plot, a short (one to two page) description of your
implementation, and your sourcecode.

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