. Author manuscript; available in PMC: 2014 Jan 1.

Published in final edited form as: J Comput Phys. 2014 Jan;257(Pt A):10.1016/j.jcp.2013.09.034. doi: 10.1016/j.jcp.2013.09.034

Table 3.

Numerical errors and convergence orders for calculating Gaussian curvature (Case 1).

n_x × n_y	L_∞	Order	L₂	Order
21 × 21	1.483e-1		1.543e-2
41 × 41	7.049e-2	1.07	4.280e-3	1.85
81 × 81	2.028e-2	1.80	8.494e-4	2.33
161 × 161	5.348e-3	1.92	1.816e-4	2.23