Scientific Python and Julia tutorials

2 of 69 tutorials

Tool Python Intermediate 35 min

Chebyshev collocation for eigenvalue problems: a neutron on a mirror

Afterwards you can solve an eigenvalue or boundary value problem on an interval with a Chebyshev differentiation matrix and tell which eigenvalues to trust.

Partial differential equations Engineering, Mathematics, 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