. Author manuscript; available in PMC: 2008 Dec 10.

Published in final edited form as: J Comput Phys. 2007 Dec 10;227(2):1246–1266. doi: 10.1016/j.jcp.2007.09.001

Table I.

Convergence properties of the proposed image approximations.

	1^st-order		2^nd-order		4^th-order		Impr. 4^th-order
u	‖ E ‖	Order	‖ E ‖	Order	‖ E ‖	Order	‖ E ‖	Order
0.8	1.33E-2		3.45E-3		1.92E-4		2.13E-5
0.4	9.54E-3	0.48	1.29E-3	1.42	1.54E-5	3.64	1.42E-6	3.91
0.2	5.94E-3	0.68	4.02E-4	1.69	1.10E-6	3.80	9.14E-8	3.96
0.1	3.35E-3	0.82	1.12E-4	1.84	7.51E-8	3.88	6.03E-9	3.92
0.05	1.79E-3	0.91	2.97E-5	1.92	6.00E-9	3.64	4.97E-9