Scientific Python and Julia tutorials

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Tool Python Advanced 40 min

The lattice Boltzmann method in NumPy: vortex shedding behind a cylinder

Afterwards you can write a lattice Boltzmann solver in NumPy, set its relaxation time from the Reynolds number, and measure a vortex shedding frequency.

Partial differential equations Engineering, Physics

Tool Python Advanced 40 min

Fourier spectral method for KdV: two solitons pass through each other

Afterwards you can solve a periodic PDE with numpy.fft and solve_ivp, treat its stiff term exactly with an integrating factor, and dealias it by the 2/3 rule.

Partial differential equations Engineering, Mathematics, Physics