ROM introduction

This lecture provides and introduction and overview of nonlinear model reduction. It highlights the key aspects of producing a low-dimensional model and the numerical difficulties of evaluating nonlinear terms.

[@Roma43534]

First time in my 10-years as mechanical engineer I can really understand and do get the algebra, not just memorizing rules and applying these after, but understanding what I am doing with maths.
VERY^n THANK YOU Professor.
Suscribed.

[@qantum251]

Well efficient teaching! I hope this is not too late Professor, I express my deep gratitude for the the quality courses you're making available. here is my point, for example, I can go read a book with no idea on pod or svd.... or I can watch your video courses have a practical idea then go read a book chapter.... and come back on to program it and that's where this comes really handy, especially the way you provide a top general view or big picture before diving in. thank you for your time and effort, teaching and sharing knowledge are outstandingly noble. God bless

[@alvinjamur1]

fantastic pedagogy. so privileged to view this….🙏🏼 👍👍👍

[@jasonchu852]

the best ROM lecture on TH-cam so far !

[@sameersalasakar5097]

Excellent introduction presented in very simple language

[@ovaisjafri422]

Very helpful indeed. Thanks Professor. Please keep posting such stuff , its really a large contribution

[@VasilevArtem-g4u]

Timecodes
0:00 Introduction
0:50 Motivational examples
5:12 Dynamical systems
9:20 Singular value decomposition
14:40 Galerkin projection
19:55 Non-linearity challenges
26:15 Summary

[@lien-chinwei4815]

So informative and concise teaching on ROM. Thank you.

[@juanmitc6021]

Awesome Explanation. Congratulations and many many thanks for the class!! It was very useful!! Thanks!!!

[@serhatbilyaz7850]

Thank you very much, Dr. Kutz, for the super clean explanations. The lecture was really helpful.

[@ClosiusBeg]

Thank you Dr. Kutz! Very useful and clear explanation!

[@rohithkamath5647]

Hello Professor, excellent lecture and very important mathematical topic. It would be really helpful if the next lectures are bundled together. Right now its not clear which is the next lecture in the series. Numerical hierarchy would be really helpful here, and If I am correct there is an entire series by you on Reduced order modeling.

[@sounghwanhwang5422]

Thank you very much, professor. Your dedicated works in this video are really helpful!!

[@matthewchunk3689]

It certainly is.

[@backbench3rs659]

very informative sir ...... if these vidoes that are on same topic are grouped together in play list its very helpful to start from one video and listen in a flow :)

[@tyrian007]

were you writing backwards sir?!!! That's really awesome......great lecture.

[@sejong4672]

Thank you professor! This lecture is what I've been looking for. I really want to take every class you've posted.
But I can't find where I can see the next lectures. Could you please tell me?

[@kaixuanchen6933]

I also want to know

[@GBabuu]

Awesome instructor!! Thank you for the post

[@maxentropy6368]

Very nice!

[@Atozanycome111]

Very helpful! Thanks

[@rdfing1996]

I feel some Matthew McConaughey vibes