The Second 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
$10^{-3}$ $1044703.57$ $10079182$ $99.84$ $4003$ $10463.78$ $2517.91$
$10^{-4}$ $104455362.73$ $1007940557$ $470.94$ $18496$ $221801.85$ $54495.06$
$10^{-5}$ $10447231331.32$ $100761741932$ $2175.50$ $80994$ $4802220.79$ $1244064.28$
$10^{-6}$ $\times.\times$ $\times\times$ $10125.02$ $395494$ N/A N/A
$10^{-7}$ $\times.\times$ $\times\times$ $46956.60$ $1852994$ N/A N/A
$10^{-8}$ $\times.\times$ $\times\times$ $217829.99$ $8614994$ N/A N/A





The Time of Each Run in Seconds
Precision Required Fourier Series Time Center Series Time Ratios FS/CS
$10^{-3}$ $146.56$ $0.01$ $14656.00$
$10^{-4}$ $154870.85$ $0.06$ $2581180.83$
$10^{-5}$ $5394586.00$ $0.28$ $19266378.57$
$10^{-6}$ $\times.\times$ $1.34$ N/A
$10^{-7}$ $\times.\times$ $6.43$ N/A
$10^{-8}$ $\times.\times$ $29.95$ N/A