The Shifted 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
$10^{-3}$	$752.28$	$3371$	$34.64$	$515$	$21.72$	$6.55$
$10^{-4}$	$7431.44$	$31270$	$113.29$	$1750$	$65.60$	$17.87$
$10^{-5}$	$74082.23$	$316870$	$360.24$	$5246$	$205.65$	$60.40$
$10^{-6}$	$740385.81$	$3179870$	$1133.28$	$15495$	$653.31$	$205.22$
$10^{-7}$	$7403443.52$	$31809120$	$3567.77$	$49244$	$2075.09$	$645.95$
$10^{-8}$	$74034893.21$	$318100120$	$11243.29$	$152494$	$6584.81$	$2085.98$

The Time of Each Run in Seconds
Precision Required	Fourier Series Time	Center Series Time	Ratios FS/CS
$10^{-3}$	$0.10$	$0.00$	N/A
$10^{-4}$	$0.94$	$0.02$	$47.00$
$10^{-5}$	$9.72$	$0.04$	$243.00$
$10^{-6}$	$98.73$	$0.14$	$705.21$
$10^{-7}$	$1016.27$	$0.45$	$2258.38$
$10^{-8}$	$36212.27$	$1.45$	$24973.98$