Optimized Finite Difference Formulas for Accurate High Frequency Components

Table 10

Staggered nodes, .

4		9/8	0.4330	−0.4584	0.2577	−0.0321	−0.0367
		−1/24	−0.1443	−0.1805	−0.0859	0.0107	0.0122
6		75/64	0.2741	−0.3000	0.2575	−0.2122	0.1017
		−25/384	−0.1370	−0.0105	0.1128	−0.0306	−0.0294
		3/640	0.0274	0.0663	0.0808	0.0608	−0.0027
8		1225/1024	0.1987	−0.2184	0.1989	−0.1554	0.0601
		−245/3072	−0.1193	0.0405	0.0313	−0.0291	0.0124
		49/5120	0.0398	0.0474	−0.0002	−0.0910	0.0512
		−5/7168	−0.0057	−0.0200	−0.0417	−0.0432	−0.0505
10		711/587	0.1550	−0.1691	0.1533	−0.1098	0.0358
		−158/1761	−0.1035	0.0559	−0.0070	−0.0066	0.0080
		296/21383	0.0443	0.0277	−0.0334	−0.0015	0.0018
		−25/14159	−0.0113	−0.0228	−0.0421	0.0609	−0.0089
		17/143243	0.0014	0.0025	0.0366	−0.0322	0.1104