Optimized Finite Difference Formulas for Accurate High Frequency Components

Table 1

Two first rows: maximum wavenumber for which the dispersion error is less than or equal to . Bottom rows: corresponding optimized weights .

standard	0.31309	0.5475	0.74763	0.91369	1.052
optimal	0.54129	0.96452	1.3112	1.5812	1.7888
	0.678935	0.779124	0.842632	0.884271	0.912322
	−0.089700	−0.174992	−0.246700	−0.302511	−0.3444207
		0.023744	0.061634	0.102893	0.140765
			−0.008624	−0.026887	−0.050463
				0.0040000	0.013796
					−0.002218