The Triangular 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
$10^{-3}$ $12.69$ $52$ $6.67$ $102$ $1.90$ $0.51$
$10^{-4}$ $44.20$ $248$ $16.42$ $164$ $2.69$ $1.51$
$10^{-5}$ $142.62$ $508$ $37.51$ $390$ $3.80$ $1.30$
$10^{-6}$ $449.72$ $1006$ $82.16$ $641$ $5.47$ $1.57$
$10^{-7}$ $1417.96$ $3248$ $178.53$ $1135$ $7.94$ $2.86$
$10^{-8}$ $4469.11$ $9996$ $387.20$ $2626$ $11.54$ $3.81$





The Time of Each Run in Seconds
Precision Required Fourier Series Time Center Series Time Ratios FS/CS
$10^{-3}$ $0.00$ $0.00$ N/A
$10^{-4}$ $0.01$ $0.00$ N/A
$10^{-5}$ $0.01$ $0.01$ $1.00$
$10^{-6}$ $0.04$ $0.01$ $4.00$
$10^{-7}$ $0.12$ $0.02$ $6.00$
$10^{-8}$ $0.36$ $0.03$ $12.00$