Optimized Finite Difference Formulas for Accurate High Frequency Components

Table 8

Staggered nodes, .

4		9/8	0.4552	−0.2806	−0.0109	0.0980	−0.0341
		− 1/24	−0.1517	−0.2340	−0.1853	−0.0686	0.0320
6		75/64	0.3826	−0.7467	1.8023	−3.0675	2.1250
		−25/384	−0.1926	0.1154	−0.4767	1.2185	−0.9451
		3/640	0.0389	0.0871	0.2697	0.0266	0.1645
8		1225/1024	0.1652	0.1227	−0.6896	0.9515	−0.4941
		−245/3072	−0.0978	−0.1601	0.4441	−0.4756	0.2288
		49/5120	0.0328	0.0900	0.0442	−0.1572	0.0422
		−5/7168	−0.0054	−0.0073	−0.1589	0.2097	−0.5579
10		711/587	0.2486	−0.5582	1.1070	−1.3501	0.6719
		−158/1761	−0.1685	0.2739	−0.5215	0.6760	−0.3469
		296/21383	0.0739	−0.0149	0.0989	−0.2382	0.1372
		−25/14159	−0.0197	−0.0267	−0.1704	0.3169	−0.1366
		17/143243	0.0030	−0.0041	0.1521	−0.2141	0.5760