POD for Partial Differential Equations

[@BCarli1395]

Thanks, Professor. Recently ordered your book and find these video lectures to be very helpful as I go through a chapter. Students have different styles of learning and I find my understanding is facilitated by hearing as well as reading the material. I stumbled upon your (and Steve Brunton’s) videotaped engineering math lectures to students at U of Washington a few years back and have watched most of them - well done.. I recommend the book, “Data-Driven Science and Engineering” , to all students of applied math. I was one of the first buyers of “Introduction to Applied Mathematics” about 35 years ago when Gilbert Strang had just started with Wellesley-Cambridge (he was nice enough to send a personal letter, regrettably misplaced, with my copy of the book). Your book has just the right blend of rigor and “hands-on” application (Python and Matlab code, website, examples and full-color illustrations) as Professor Strang’s books and I can find no higher compliment to give. It has been interesting to see the field of applied math evolve as computational math and data science have developed.

[@Azimsajid1729]

kzbin.info/www/bejne/sGexaYKkjrakmdE

[@carlosayam]

Best exposition I've seen of solving numerically non-linear PDEs. Thank you!

[@AnimationsJungle]

one of the best lectures .I learnt a lot from this lecture. Thank you for uploading this lecture sir. God bless you.

[@sinahamedi2786]

Thanks Dr. Kutz, I know it is a little bit off-topic but it would be great if you can make a video on choosing basis functions (FFT, Chebychev, Legendre, etc.) for PDEs based on boundary conditions. You usually use FFT which is not appropriate for non-periodic BCs, and in fluid dynamics we usually have other types of BCs.

[@florianarbes]

Great overview and very comprehensible. Thank you! Also thanks for the link to the book. I wondered if it is the same as the ebook you are selling?

[@cheikhbrahimabed4319]

Thank you for this amazing course. Can we apply this method for steady Partial Differential Equations?

[@yunlaifeng]

God bless you！Thank you sir!