2D Spectral Derivatives with NumPy.FFT

The Fast Fourier Transform allows to easily take derivatives of periodic functions. In this video, we look at how this concept extends to two dimensions, such as how to create the wavenumber grid and how to deal with partial derivatives. Here is the notebook: https://github.com/Ceyron/machine-lea...

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Timestamps:
00:00 Intro & Overview
02:50 Domain, Discretization & Mesh
05:53 Example function and its analytical derivatives
09:30 Plot & Discussion of function
13:58 Wavenumber grid in 2d
18:15 Perform spectral derivatives and compare
22:41 Bonus: Gradient (both partial derivatives at the same time)
24:43 Outro