Spectral methods in python

I am writing the codes given in Trefethen's Spectral Methods in Matlab in python. You can find them in the following links as ipython notebooks.

If you have any suggestions to improve them or find a mistake, then I would like to hear.

A similar project is another-chebpy. Some of the following code is borrowed from another-chebpy. To get all the files, do

$ git clone https://github.com/cpraveen/chebpy

1. Convergence of fourth order finite differences

2. Convergence of periodic spectral method

3. Band-limited interpolation

4. Periodic spectral differentiation

5. Repetition of Program 4 via FFT

6. Variable coefficient wave equation

7. Accuracy of periodic spectral differentiation

8. Eigenvalues of harmonic oscillator

9. Polynomial interpolation in equispaced and chebyshev points

10. Polynomials and corresponding equipotential curves

11. Chebyshev differentiation of a smooth function

12. Accuracy of Chebyshev spectral differentiation

13. Solve linear BVP

14. Solve nonlinear BVP

15. Solve eigenvalue BVP

16. Poisson equation on [-1,1]x[-1,1] with u=0 on boundary

17. Helmholtz equation

18. Chebyshev differentiation via FFT

19. Second order Wave Equation on Chebyshev Grid

20. Second order Wave Equation using FFT

21. Eigenvalues of Mathieu operator

22. 5'th eigenvector of Airy equation

23. Eigenvalues of perturbed Laplacian

24. Pseudospectra of Davies complex harmonic oscillator

25. Stability regions for ODE formulas

26. Eigenvalues of 2nd-order Chebyshev diff. matrix

27. Solve KdV equation