When the first-order implicit Euler scheme is unconditionally stable, the solution is ________

When the first-order implicit Euler scheme is unconditionally stable, the solution is ________ Correct Answer stationary for large time-steps

A numerical diffusion term scales with the time-step in a similar fashion to the upwind scheme for the advection term. Therefore, when this scheme is unconditionally stable, the solution using this scheme is stationary for large steps.

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For which of these problems is the Crank-Nicolson scheme unconditionally stable?