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Evolutions of the logarithm of the oscillation amplitude obtained from various numerical methods in a standard setting of a damped harmonic oscillator with a damping rate of γ = 0.01, a total simulation time of Ts = 200, and a fixed stepsize of h = 0.5. Note that only the numerical solution of q is presented since it is very similar to that of p with a slight shift. (Online version in colour.)
