The One-Cycle Sawtooth Wave





The Number of Series Terms Added in Each Run
Prec. Fourier Series Center Series Ratios FS/CS
Req. Average Maximum Average Maximum Average Maximum
$10^{-3}$ $752.54$ $3252$ $35.60$ $1031$ $21.14$ $3.15$
$10^{-4}$ $7425.65$ $31432$ $115.41$ $2512$ $64.34$ $12.51$
$10^{-5}$ $73823.11$ $317182$ $367.13$ $7001$ $201.08$ $45.31$
$10^{-6}$ $737217.91$ $3174557$ $1161.60$ $21996$ $634.66$ $144.32$
$10^{-7}$ $7370774.30$ $31747807$ $3661.90$ $69494$ $2012.83$ $456.84$
$10^{-8}$ $73707293.40$ $317464682$ $11567.78$ $219994$ $6371.78$ $1443.06$





The Time of Each Run in Seconds
Precision Required Fourier Series Time Center Series Time Ratios FS/CS
$10^{-3}$ $0.10$ $0.01$ $10.00$
$10^{-4}$ $0.96$ $0.02$ $48.00$
$10^{-5}$ $9.92$ $0.05$ $198.40$
$10^{-6}$ $101.43$ $0.15$ $676.20$
$10^{-7}$ $1034.91$ $0.47$ $2201.94$
$10^{-8}$ $66297.97$ $1.48$ $44795.93$