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One of the methods uses a fourth order compact stencil, and the other uses a nonstandard variant of Richardson extrapolation.
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Numerical simultaneous integration of the model equations was done using a fourth order Runga-Kutta method.
Therefore, if the sixth order allows you to take time-step that are two or more times larger than when using a fourth order your total execution time will go down when using a sixth order integrator.
The temporal discretization was carried out using a fourth order Adams-Moulton predicator-corrector method.
Torque signals were filtered using a fourth order Butterworth 150 Hz low-pass filter.
LFPs were further filtered between 0.5 Hz and 100 Hz using a fourth order Butterworth filter.
EEG signals were high-pass filtered using a fourth order Butterworth filter with a 100 Hz cut-off frequency.
Raw LFP signal was band-pass filtered in the corresponding range using a fourth order elliptical Butterworth digital filter.
It is approximated using a fourth order polynomial function around the fitted value for each parameter [ 41].
GRF data was filtered using a fourth order 50 Hz low-pass Butterworth filter and normalized by body mass [ 20].
It uses a fourth-order implicit time filter that reduces computational modes and fourth-order finite difference approximations for spatial derivatives.
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