The Conjugate Function of 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
$10^{-3}$ $1032834.30$ $8210494$ $100.82$ $4252$ $10244.34$ $1930.97$
$10^{-4}$ $103269333.48$ $820494994$ $472.59$ $18745$ $218517.81$ $43771.41$
$10^{-5}$ $10327775337.91$ $82168115994$ $2171.68$ $80744$ $4755661.67$ $1017637.42$
$10^{-6}$ $\times.\times$ $\times\times$ $10106.03$ $395744$ N/A N/A
$10^{-7}$ $\times.\times$ $\times\times$ $46860.99$ $1845744$ N/A N/A
$10^{-8}$ $\times.\times$ $\times\times$ $216805.35$ $8294744$ N/A N/A





The Time of Each Run in Seconds
Precision Required Fourier Series Time Center Series Time Ratios FS/CS
$10^{-3}$ $139.61$ $0.01$ $13961.00$
$10^{-4}$ $63223.87$ $0.06$ $1053731.17$
$10^{-5}$ $4041689.70$ $0.29$ $13936861.03$
$10^{-6}$ $\times.\times$ $1.34$ N/A
$10^{-7}$ $\times.\times$ $6.33$ N/A
$10^{-8}$ $\times.\times$ $29.82$ N/A