Discrete-Fourier-transform

Articles carrying this tag.

Kelvin Wedge

Fourier Coefficients of Quadratic Forms in $\cos \gamma$ for Steady Capillary-Gravity Waves

We factor the quadratic denominator \(a+b \cos \gamma+c \cos ^2 \gamma\) and reduce the computation of its Fourier coefficients to those of \(1 /(\cos \gamma-\lambda)\). Solving the associated…

Fluid Mechanics
Kelvin Wedge

Diagonalizing Azimuthal Mode Coupling via a Discrete Fourier Transform

We recast the azimuthal mode-coupled surface equations as a block-Toeplitz convolution in the mode index and diagonalize this coupling via a discrete Fourier transform in…

Fluid Mechanics