h

$\tau$

$l^{\infty }$ -error

order

$l^2$ -error

order

$\frac{\pi }{2^4}$

$\frac{1}{2\cdot 2^4}$

0.0688

-

0.0942

-

$\frac{\pi }{2^5}$

$\frac{1}{2\cdot 2^5}$

0.0364

0.9185

0.0491

0.9400

$\frac{\pi }{2^6}$

$\frac{1}{2\cdot 2^6}$

0.0187

0.9609

0.0251

0.9680

$\frac{\pi }{2^7}$

$\frac{1}{2\cdot 2^7}$

0.0095

0.9770

0.0127

0.9829

$\frac{\pi }{2^8}$

$\frac{1}{2\cdot 2^8}$

0.0048

0.9849

0.0064

0.9887