The Parabolic 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
$10^{-3}$ $3.47$ $7$ $2.79$ $20$ $1.24$ $0.35$
$10^{-4}$ $9.12$ $22$ $6.31$ $40$ $1.45$ $0.55$
$10^{-5}$ $21.63$ $70$ $12.85$ $68$ $1.68$ $1.03$
$10^{-6}$ $48.51$ $145$ $24.33$ $126$ $1.99$ $1.15$
$10^{-7}$ $105.89$ $215$ $45.51$ $278$ $2.33$ $1.15$
$10^{-8}$ $229.68$ $455$ $82.33$ $511$ $2.79$ $0.89$





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
$10^{-4}$ $0.00$ $0.00$ N/A
$10^{-5}$ $0.00$ $0.00$ N/A
$10^{-6}$ $0.00$ $0.00$ N/A
$10^{-7}$ $0.00$ $0.00$ N/A
$10^{-8}$ $0.02$ $0.01$ $2.00$