= Solution
A numerical evolution has <numerical stability> if small perturbations in initial data, forcing or arithmetic are not amplified without control over the time interval of interest. For this constant-coefficient decaying <linear system>, an absolute-stability test requires the homogeneous numerical amplification factors to have magnitude at most one, with no growing Jordan-block contribution on the unit circle. Stability is distinct from accuracy: a strongly overdamped numerical solution can be stable while representing the physical <oscillation> poorly.
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