A short ad hoc introduction to spectral methods for parabolic PDE and the Navier-Stokes equationsr

We provide and explain some simple self-contained matlab (octave) implementations of Fourier spectral solvers for nonlinear parabolic PDE and for the 2D Navier-Stokes equations in a periodic box, including a discussion of anti-aliasing and power spectra. We illustrate the solvers with various examples including some (weakly) turbulent flows.

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