MAE6286 project: Compact finite difference schemes

[shantanu7]

Hi Prof. Barba

This is my submission for the course project. Please let me know if you have any recommendations/ suggestions so I can improve this work before the deadline.

Thank you,
Shantanu.

[ncclementi]

Hey Shantanu, I've read you project, it is really interesting. Here are some suggestions:

• In this report ----> In this notebook (to be consistent with previous notebook)

• for some reason nbviewer is not rendering this line:

  where: \begin{equation} 0 \leq x, y \leq 1 \end{equation}

  try using $ $

• Is there a reason why you put an image of the countour plots of u and laplacian
  of u instead of the code that generates them? I think it would be better to have the code.

• How you obtain the Pade scheme for f_xx ? I'm not following how you get it from the
  explanation in the section "Conducting a Pade scheme", because you explained for
  the first derivative. If you get it from another place, can you explain a little bit more about it?

• It will help a lot if you add docstrings in the functions, as we did in the notebooks for the class.

typo : conamination ---> contamination

[shantanu7]

Hey Naty,

Thanks for the feedback. Shall I make the changes and update the document on github? Do you want the changes today or can I make them over the weekend?

Shantanu

[labarba]

You can make updates whenever you want. I won't be merging any pull requests until I go over all the projects, and it will take a while!

[shantanu7]

Hi Naty, Prof. Barba:

I've made the changes that you suggested earlier this week. Particularly I included the derivation for the second order derivative formulation. Could you go check it out and let me know what you think of it? Thank you.