Thanks alot Prof. Shen.. the best explanation i ever got

You lady are amazing! Thanks for sharing !

really great lecture, thank you for sharing!

It's really helpful. Thank you!

Very good teaching. Thank your very much.

One of your best videos, really interesting! I wish you where my professor :/

how can i implement the IMEX METHOD. i need your help

Could you please explain x_(n+1) = x_n + h*[ b_n*f_n + ...] how h appears in this step at 13:20? I undertsand b_n is the integral of l_n(t) but how is the h factored out from all the integrals?

VERY GOOD LECTURE. CHEERS

at 17:22, i did the integral and got something slightly different to that which is written. as i can tell, fn-1 should be (fn-1)/2. please correct me if i am wrong but i just want to be sure

Hi Wen, lectures are just amazing, so clear and instructive! Thank you! Listen, I have a couple of questions for you: what can we say in terms of the numerical stability of the AB-Moulton method? Does the numerical stability and/or the efficiency of this numerical methos depend on its order, i.e. on how many steps backwards I consider to predict the new one? Thank you so much, and I look forward to your reply. Cheers, Francesco

please show an example of ABM

I don't understand at 42:59 when you propose to use AB2 for calculate X1, this method requires 2 previous points but we only have one (Xo, which is given). Thanks :)

U are looking beautiful + u cleared my doubts.

thanks

读文献的时候，看到fractional calculus的linear multistep methods，没读懂。然后去整数阶，结果发现很像改进欧拉法，心中还是有不清晰的地方。直到看到您的视频，非常清晰易懂！// When I reading literature about linear multistep methods of fractional differential equations, I found I am confused. So I went back to common fractional differential equations and still not totally understand, but found that this method to some extent like improved Euler method. Until I watch your open math course, I think I understand it totally! Thank you for recording this video and wish your book a bestseller among students.

Wen, I like your classes so much. They are very easy to follow, your writing I very legible and you make numerical analysis a beautiful endeavor. However as I've commented in some of your past videos, the one who films you does injustice to the followers of your youtubes. He or she does not follow you when you move back and forth to make refer to points you already listed on the board. I believe you can fix this. Otherwise continue enlightening the world!