Numerical Integration - Romberg Integration

[@chickenkorma3163]

Thank you so much, finally got it! Good mix of being easy enough to easily aply but detailed enough to get more into the theory behind it!

[@beoptimistic5853]

kzbin.info/www/bejne/rHenfpR-hpmejZo 💐.

[@dylanzelkin8506]

serious note for anyone look at this there is a major error in how R1,1 R2,1 R3,1 are handled: he has h = (b-a)/n up top... in reality for how the rest of the problem treats h, h is actually = b-a you will also notice an error where h/2[f()...] and h/4[f()....], so in these cases the value h/? = h/2n in summary: h=b-a and h/?=h/2n... hope someone gets help from this

[@dylanzelkin8506]

also its just the trapazoid rule, so u can go look it up and get the correct formula for R(?,1)

[@jordanfong4255]

At 3:48, the function should be f(a+h) instead of f(a+h/2)). This goes for all the values until it reaches the upper limit b.

[@ShivamSharma-me1sv]

Yeah I think there is something wrong at 3:48

[@RockBottom7626]

Nope, he did it correctly there. You want to calculate lower bound, upper bound and the center. h is the distance between a and b. This means that h/2 + a is exactly h/2 differing from the upper and lower bound.

[@dylanzelkin8506]

@@RockBottom7626 no, he defined h = (a-b)n, which means h = step size, h is treated differently in his equation from how he defined it

[@RockBottom7626]

@@dylanzelkin8506 Sorry, I missed that. You are correct.

[@rhemalight01]

Thank you, it was very enlightening

[@Amandaaaaaa123]

MWAH thank you

[@zhikunli475]

Great explanation! Unlike my stupid text book which only bothers to introduce the concepts haha

[@ronanm4418]

Fantastic explanation!

[@beoptimistic5853]

kzbin.info/www/bejne/rHenfpR-hpmejZo 💐

[@ajstyleslegend]

but how to find T02 for example some source it is start at 0

[@beoptimistic5853]

kzbin.info/www/bejne/rHenfpR-hpmejZo 💐

[@littlEMILYonaire]

Uuuhhh uuuummmm uuuuuhhhhhhm uh uh uh uh uh uh uhhhh uuuuummm uhm

[@maynafiesta]

what a sweat voice man

[@rafal6988]

i was surprised i wasnt hindu voice xDD

[@shoemakerleve9]

I still don't understand. :(

[@allamtajusarof5649]

thanks :)

[@beoptimistic5853]

kzbin.info/www/bejne/rHenfpR-hpmejZo 💐

[@barkinozk]

nice

[@mertcanonur3126]

Babushka boi selam :P

[@gohteikwei1289]

so basically its simpson's rule

[@zaidradwan4000]

Thanx