for waves down to four points per wavelength, allowing the direct computation of aerodynamic noise using

Since the earliest stages in computational aeroacoustics (CAA), the need for highly accurate schemes has been recognized [1]. To meet the stringent accuracy requirements of CAA, low dispersive, low dissipative and large spectral bandwidth numerical methods have been designed by optimizing their dispersion and dis-sipation properties in the Fourier space for low wave numbers. Available optimized finite differences are fo