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{\bf EGN 5456 \hfill Intro to Computational Mechanics \hfill 4/28/90 }\\
{\it Open notes \hfill Leon Van Dommelen \hfill 11:00-1:00 pm }
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\begin{enumerate}

\item
Does the backward Euler discretization
$${u_i^{n+1} - u_i^n\over \Delta t} +
c {u_{i+1}^{n+1} - u_{i-1}^{n+1}\over 2 \Delta x} = 0$$
have the conservative property?  Why or why not?

\item
Use a finite element formulation with
linear shape functions to find discretized equations for
$$-3 [(u_x)^3]_x = 0$$
$$u(-1) = 2$$
$$u_x(1) = - u(1)$$

\item
Write the Beam \& Warming finite difference discretization for
$$u_t + c u_x = 0$$
where $c$ is constant.  Show stability.

\end{enumerate}

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