 Stiff two-mode linear system (source code)

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= Stiff two-mode linear system

If a linear system has negative eigenvalues with widely separated magnitudes, an explicit method can be forced to resolve the fastest decaying mode solely for stability. For eigenvalues $-1$ and $-100$, forward Euler requires $h\leq0.02$, whereas backward Euler is stable for every positive step size.

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