Discussion
A time step of about one tenth of the shortest period of interest is usually recommended for
Answer: D
Correct answer: accuracy rather than stability
The two requirements are distinct. An unconditionally stable scheme has no stability limit at all, yet a large step still gives a poor answer - period elongation and amplitude decay in the computed response.
A step of about \( T/10 \) resolves the shortest period of interest well enough to keep those errors small. Where a scheme is conditionally stable, the stability limit is usually the tighter of the two and governs instead; the accuracy requirement remains either way.
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