The Two-Cycle Sawtooth 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
$10^{-3}$	$749.46$	$3121$	$34.02$	$515$	$22.03$	$6.06$
$10^{-4}$	$7419.26$	$31432$	$112.46$	$1750$	$65.97$	$17.96$
$10^{-5}$	$73816.53$	$317182$	$359.29$	$4996$	$205.45$	$63.49$
$10^{-6}$	$737570.08$	$3174557$	$1136.15$	$15744$	$649.18$	$201.64$
$10^{-7}$	$7375060.56$	$31747932$	$3582.81$	$48994$	$2058.46$	$648.00$
$10^{-8}$	$73753829.71$	$317472432$	$11324.11$	$157994$	$6512.99$	$2009.40$

The Time of Each Run in Seconds
Precision Required	Fourier Series Time	Center Series Time	Ratios FS/CS
$10^{-3}$	$0.06$	$0.00$	N/A
$10^{-4}$	$0.53$	$0.01$	$53.00$
$10^{-5}$	$5.24$	$0.03$	$174.67$
$10^{-6}$	$51.51$	$0.09$	$572.33$
$10^{-7}$	$1504.69$	$0.28$	$5373.89$
$10^{-8}$	$57342.28$	$0.87$	$65910.67$