A Robust Optimal Finite Difference Scheme for the Three-Dimensional Helmholtz Equation

Table 1

Weights corresponding to different and .

(1.0, 1.0)	0.1009	0.0011	0.6952	0.3714	0.8111	-0.2928	0.1102
(1.0, 1.5)	0.1154	0.0112	0.6313	0.2614	0.9925	-0.4020	0.1481
(1.5, 1.0)	0.1001	0.0007	0.6984	0.4242	0.6618	-0.1515	0.0656
(1.5, 1.5)	0.1194	0.0061	0.6297	0.3340	0.7907	-0.2159	0.0912
(1.0, 2.0)	0.1522	0.0247	0.4939	0.0274	1.3965	-0.6477	0.2238
(2.0, 1.0)	0.1029	-0.0016	0.6945	0.4275	0.6420	-0.1202	0.0508
(2.0, 2.0)	0.1619	0.0051	0.5040	0.2015	0.9602	-0.2963	0.1346