Thanks for bringing me a little closer to understanding this.
@mro2038
6 жыл бұрын
It's 3am now and my final paper is at 11am. You Literally saved by ass!
@the-Math-guy
6 жыл бұрын
Thats precious, I am glad I helped save it!!
@mikekalya
2 жыл бұрын
In the third sweep, the first line R3,3 it should be (R3,2-R2,2) not (R3,2-R3,1)
@wolfie8748
10 ай бұрын
yess
@mohitsaraswat8504
6 жыл бұрын
Great video bro helped me a lot for my tomorrow exam
@SequinBrain
2 жыл бұрын
Not sure how to know when to stop with the first set (row?column? it's confusing). Is there something that tells us to stop at 5,1 or this is just arbitrary?
@israelalozie6407
7 ай бұрын
Why did you have to multiply by 1/3 in the first one then 1/15 in the next and 1/63 in the next
@muhammadtaimourafzal5285
3 жыл бұрын
great video. can't thank you enough.
@mertbaydar8474
3 жыл бұрын
Hello, I have a question that I can't solve from this subject , can you help me about it? How can I reach you ?
@kayacanozdemir2440
5 жыл бұрын
R(3,3) = R(3,2) + 1/15(R(3,2)-R(2,2)) check this please
@kayacanozdemir2440
5 жыл бұрын
i saw now you correct it
@joshguevara9570
4 жыл бұрын
Why isn't R(3,3) = R(3,2) + 1/15(R(3,2)-R(2,2))
@dellpi3911
3 жыл бұрын
kzitem.info/news/bejne/y3iEyI15ZoegZKg
@alvy_._ahmed
3 жыл бұрын
thank you, sir! got an exam in about 2 hours or so..
@dellpi3911
3 жыл бұрын
kzitem.info/news/bejne/y3iEyI15ZoegZKg
@rajchaudhary4016
6 жыл бұрын
1/3 ,1/15,1/63 etc from where it comes
@the-Math-guy
6 жыл бұрын
Good question, well these multipliers come from the derivation of Romberg integration which is based on Richardon's extrapolation, which is an amazing concept and applies to both numerical differentiation and integration. However I have no video on the topic I planned to make one but found no time and its more a background material concept.
@rajchaudhary4016
6 жыл бұрын
The Math Guy thank u so much sir i will see derivation of romberg method thanks for ur reply and it was a good video 😊✌️
@simonorga-konto5389
9 ай бұрын
thx!!!!
@808__Prince
6 жыл бұрын
Thank god for this
@feridunabi7723
5 жыл бұрын
you made a mistake writing r33
@the-Math-guy
5 жыл бұрын
Yes you are correct that is a typo it should be R(2,2) instead of R(3,1), but he numerical value is correct as it is a solved example. So the formula is: R(3,3)=R(3,2)+(1/15)*(R(3,2)-R(2,2)). Thank you for pointing that out, and my apologies,
@omarmarie9687
6 жыл бұрын
you got some answers wrong
@the-Math-guy
6 жыл бұрын
Everything is correct I have checked please let me know which value you think is wrong. Thanks
@UrinatingTheCrowd
6 жыл бұрын
Excuse me, how can i apply romberg's method if the integration is for double integral? thank you.
@the-Math-guy
6 жыл бұрын
Well that is a difficult question. There is only the adapted Simpson's rule for double integration and higher. However, as for Romberg that is a research level question, I am not aware of any undergraduate level where this is taught. Postgraduate courses perhaps, but it gets into parallel computing where you will find some research papers on the topic but not in text books. I am afraid this is not a question I can answer here.
@UrinatingTheCrowd
6 жыл бұрын
Well that's pretty weird, i guess i have to ask my profesor about this because the teaching assistant gave us a MATLAB programming assignment to integrate ∫ 0 to 1 ∫ 0 to pi/2 e^y cos(x) dx dy using romberg's. Thanks for the quick response sir.
@the-Math-guy
6 жыл бұрын
Well that question does not even require numerical integration. Of course Matlab is a whole different ball game. Matlab has a lot of built in functions, and it can do double integration for you. Also remember that Romberg is based on Richardson's extrapolation, in essence it is an update procedure. So you solve an integral numerically in the first sweep which you can easily do using the adapted trapezoidal for double integrals and then afterwards it is just updates. I am sorry but I have not actually done this myself so am just giving you ideas of how it can be done.
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