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Computation of stability in this problem
A < 0 if
\frac{1 - (1-\theta) a\Delta t}{1 + \theta a\Delta t} < 0
To avoid oscillatory solutions we must have A> 0 and
\begin{equation}
\Delta t < \frac{1}{(1-\theta)a}\
\end{equation}
- Always fulfilled for Backward Euler
- \Delta t \leq 1/a for Forward Euler
- \Delta t \leq 2/a for Crank-Nicolson
