Spectral Derivative with FFT in NumPy

One can use the Fast-Fourier Transform to obtain derivatives of functions on periodic domains. This builds the basis of any spectral method. A crucial ingredient is the creation of the wavenumber vector. Here is the code: github.com/Ceyron/machine-lea...
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Timestamps:
00:00 Intro
00:20 Creating a mesh (without the right boundary point)
01:11 A simple function and its plot
01:59 Analytical derivative and its plot
03:12 Rough implementation of the spectral derivative
03:45 A first attempt of getting the wavenumbers
04:06 Plot of the first attempt and fix a complex warning
05:01 Fix the wavenumber setup
06:26 Summary
07:57 Outro