Figure 6: $L^{\infty}$ error vs $N_{\varphi}/n$ for the standard method (old) and vs $N_{\varphi}/|k_{\parallel}|$ for the aligned method (new). Parameters are $q = \sqrt{2}$, $N_{\theta} = 400$ and LAG17.
Figure 7: $L^{\infty}$ error vs $N_{\varphi}/n$ using $N_{\theta} = 200$ (or $N_{\theta} = 200$, when $n = 23$), with parameters $q = \sqrt{2}$, $m = 34$, LAG9 and $n = 5, 12, 23, 30$ which corresponds to $k_{\parallel} \sim -19, -12, -1, 6$.