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Introduction to Spectral Methods for Partial Differential Equations 

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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).
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12 окт 2024

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Комментарии : 19   
@joshavery
@joshavery Год назад
Great lecture! Fascinating how fast the convergence is for these methods.
@RicardoQuispeM
@RicardoQuispeM 3 года назад
Thanks a lot Dr! Greetings from Peru
@tranthi8525
@tranthi8525 2 года назад
Hi Dr. Lignell, thank you too much for your lecture, but something is wrong that i cannot access your notebook
@sinahamedi2786
@sinahamedi2786 3 года назад
Thanks Dr. Lignell, do you recommend any book/online course smoothly and more generally explains Galerkin/spectral method ?
@ignitebyuedu
@ignitebyuedu 3 года назад
Hi Sina, I don't know of an online course for this. One book that comes to mind is Spectral Methods in Matlab.
@chrisli6831
@chrisli6831 4 месяца назад
For example 1, why the rhsf has a minus sign in the return statement?
@jiayaoyan6628
@jiayaoyan6628 2 года назад
Hi Dr. Lignell, great lecture. I just had a quick question-is there a minus sign missing in the slide that introduces the pseudo-spectral method? should n=-N/2+1 under the summation sign?
@ignitebyuedu
@ignitebyuedu Год назад
Yep
@amanifadiagarroudji8976
@amanifadiagarroudji8976 5 месяцев назад
Hi , can you please do another video but with pde in 2D??
@vijaykag1144
@vijaykag1144 3 года назад
Hi Dr. Lignell, thanks for your video, it was very helpful. How can I get access to this jupyter notebook
@ignitebyuedu
@ignitebyuedu 2 года назад
See the video description (it had an issue that should now be corrected>
@YujieSU-x7r
@YujieSU-x7r Год назад
Cannot open the notebook. Could you please check it? Thanks!
@YuanpuLi
@YuanpuLi Год назад
thank you. very clear.
@murtathakuzaie4114
@murtathakuzaie4114 2 года назад
hello dear doctor , i need ask you i have some Questions ,I hope you can help me
@bhoopendragupta4782
@bhoopendragupta4782 2 года назад
insightful and helpful, thanks
@hasanmotam4256
@hasanmotam4256 3 года назад
Thanks so much!
@RicardoQuispeM
@RicardoQuispeM 3 года назад
Nbviewer says: 404 : Not Found Remote HTTP 404: Not Found
@ignitebyuedu
@ignitebyuedu 2 года назад
This works now
@wadedwyane1600
@wadedwyane1600 3 года назад
Thanks a lot!!
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