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. 2012 Dec 5;7(12):e50189. doi: 10.1371/journal.pone.0050189

Table 1. Development of relative error of LCM period for different integrators.

Integrator RK4 RK-Fehlberg
Stepsize (h) 0.01 0.001
Initial Relative Error ε(x 1) 9.3×10−5 2.4×10−5
Initial Relative Error ε(x 2) 3.7×10−5 9.7×10−4
Final Relative Error ε(x 1) 0 0
Final Relative Error ε(x 2) 0 0

The initial period in time has already a small relative error. This error disappears completely over subsequent periods.