Optimized Finite Difference Formulas for Accurate High Frequency Components

Table 9

Staggered nodes, .

4		9/8	0.5810	0.0173	0.6928	−0.1953	−0.0939
		−1/24	−0.1937	−0.3391	−0.2309	0.0651	0.0313
6		75/64	0.3744	−0.2196	0.0095	0.2121	0.0488
		−25/384	−0.1871	−0.1437	−0.0335	−0.6444	0.1516
		3/640	0.0374	0.1301	0.2182	0.3442	−0.1007
8		1225/1024	0.2678	−0.2302	0.1619	−0.1950	0.2232
		−245/3072	−0.1606	−0.0161	0.0266	0.1898	−0.3422
		49/5120	0.0533	0.1140	0.0647	0.0802	0.5010
		−5/7168	−0.0074	−0.0416	−0.0807	−0.2537	−0.2431
10		711/587	0.2056	−0.2104	0.2242	−0.2976	0.2173
		−158/1761	−0.1376	0.0496	−0.0634	0.2423	−0.2418
		296/21383	0.0601	0.0426	0.1758	−0.5433	0.4886
		−25/14159	−0.0166	−0.0120	−0.3382	0.7082	−1.0791
		17/143243	0.0026	−0.0075	0.1615	−0.2966	0.7354