Lecture -- Matrix Operators

This video goes into more detail about what are matrix operators and how to build them. Discussion includes diagonal matrices that perform point-by-point multiplication and banded derivative matrices that calculate numerical derivatives across the grid.

[saicharanmarrivada]

These videos helped me a lot, thanks for uploading them!

[pipertripp]

This was great. Helped a lot with my understanding of how to implement the different kinds of boundary conditions. Here's a question that came up at the very end when you were considering higher order boundary conditions... in must of your examples, the order of the error for your 1st and 2nd derivatives was the same, O(h^2). And so I thought that maybe you need to have the same order of accuracy at each node for both derivative matrices, but upon seeing the Neuman and higher-order BC scenarios I'm thinking that this isn't required. Perhaps it's more about having the derivative value (regardless of order) be evaluated AT the node, rather than at some point between nodes. Did I get that right (I think you might have touched on this in another video)?

[mfaisal]

Dr. Raymond Rumpf, apologies for digressing but do you have any plan on signal processing? I would particularly be interested in something about implementation of direction of arrival estimation techniques in MATLAB. Thanks.

[fasepaul]

Hello can you please comment on how you built this function: [DX, DX2] = fdder1d(Nx, dx). Thank you very much

[im.meer-asif]

matrix free implementation, any videos comming?