The First Slow-Converging 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
$10^{-3}$ $1043658.86$ $10079182$ $99.74$ $4003$ $10463.79$ $2517.91$
$10^{-4}$ $104350817.73$ $1007942557$ $470.47$ $18496$ $221801.22$ $54495.16$
$10^{-5}$ $\times.\times$ $\times\times$ $2173.32$ $80994$ N/A N/A
$10^{-6}$ $\times.\times$ $\times\times$ $10114.89$ $395494$ N/A N/A
$10^{-7}$ $\times.\times$ $\times\times$ $46909.65$ $1852994$ N/A N/A
$10^{-8}$ $\times.\times$ $\times\times$ $217611.91$ $8614994$ N/A N/A





The Time of Each Run in Seconds
Precision Required Fourier Series Time Center Series Time Ratios FS/CS
$10^{-3}$ $84.17$ $0.01$ $8417.00$
$10^{-4}$ $20168.14$ $0.03$ $672271.33$
$10^{-5}$ $\times.\times$ $0.15$ N/A
$10^{-6}$ $\times.\times$ $0.68$ N/A
$10^{-7}$ $\times.\times$ $3.19$ N/A
$10^{-8}$ $\times.\times$ $14.78$ N/A