The Standard Square 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
$10^{-3}$	$752.71$	$3371$	$34.66$	$515$	$21.72$	$6.55$
$10^{-4}$	$7435.69$	$31270$	$113.36$	$1750$	$65.59$	$17.87$
$10^{-5}$	$74124.57$	$316870$	$360.47$	$5246$	$205.63$	$60.40$
$10^{-6}$	$740808.79$	$3179870$	$1134.01$	$15495$	$653.26$	$205.22$
$10^{-7}$	$7407676.63$	$31809120$	$3570.08$	$49244$	$2074.93$	$645.95$
$10^{-8}$	$74080415.47$	$318071620$	$11250.56$	$152494$	$6584.60$	$2085.80$

The Time of Each Run in Seconds
Precision Required	Fourier Series Time	Center Series Time	Ratios FS/CS
$10^{-3}$	$0.05$	$0.00$	N/A
$10^{-4}$	$0.48$	$0.01$	$48.00$
$10^{-5}$	$4.78$	$0.04$	$119.5$
$10^{-6}$	$46.90$	$0.11$	$426.36$
$10^{-7}$	$720.70$	$0.32$	$2252.18$
$10^{-8}$	$19304.40$	$0.90$	$21449.33$