Introduction to Spectral Methods for Partial Differential Equations

Introducing spectral methods for solving one-dimensional PDEs with periodic boundary conditions. In particular, the pseudo-spectral method is demonstrated for the one-dimensional wave equation, and the viscous Burgers' equation using Python. Comparison between the spectral method and finite difference method is shown for varying numbers of grid points.

Here's a link to the Jupyter notebook. This has been updated (some comments noted a broken link).

[joshavery]

Great lecture! Fascinating how fast the convergence is for these methods.

[chrisli]

For example 1, why the rhsf has a minus sign in the return statement?

[tranthi]

Hi Dr. Lignell, thank you too much for your lecture, but something is wrong that i cannot access your notebook

[sinahamedi]

Thanks Dr. Lignell, do you recommend any book/online course smoothly and more generally explains Galerkin/spectral method ?

[YujieSU-xr]

Cannot open the notebook. Could you please check it? Thanks!

[amanifadiagarroudji]

Hi, can you please do another video but with pde in 2D??

[vijaykag]

Hi Dr. Lignell, thanks for your video, it was very helpful. How can I get access to this jupyter notebook

[murtathakuzaie]

hello dear doctor, i need ask you i have some Questions, I hope you can help me

[RicardoQuispeM]

Nbviewer says:

404 : Not Found
Remote HTTP 404: Not Found