7.1.2-ODEs: Introduction to Runge-Kutta Methods

These videos were created to accompany a university course, Numerical Methods for Engineers, taught Spring 2013. The text used in the course was "Numerical Methods for Engineers, 6th ed." by Steven Chapra and Raymond Canale.

[@tburns3611]

Absolutely brilliant my guy. I love your explanations. Your explanation of how the integral thing is equal to the slope times the tiny step h was very clever.

[@slimjijo123]

Thank you for your effort sir.Very nice and easy to understand.
May God bless you
with love from India.

[@yigitsimsek2805]

That deletion effect @3:48 got me laughing for a solid minute at the library. Thanks for the lecture.

[@evileye4797]

xD

[@waleedahmad2012]

LMAO same

[@andrewlee7307]

Clear and intuitive, many thanks to your videos as an engineering guy stuck by math. :)

[@VinaoG]

You know how to explain this subject man, thank you very much....
Compliments from Brazil

[@adamrooski]

You're explanation was very concise. Thanks for the video.

[@YuwanaSetiabudi]

thank you for the lectures.. helps me a lot in my class..

[@lbitten]

Very nice job!! Whats the software u used to draw this?

[@kvyi]

Thanks. For these videos, I used SmoothDraw to draw, LyX to typeset equations, and Matlab to create graphics.

[@lbitten]

Thanks a lot! I'll try this! ;)

[@chriswang8189]

GOOD JOB!
AND , with love from China

[@newfynate4611]

While the comments arent wrong; the math behind it is significantly more important here than the pronounciation of Runge-Kutta; ffs people lol. Excellent explanation, thanks for the help in understanding this concept.

[@itsconrad132]

Question, what did you mean when you said, f(x,y) is the slope at around 4:37?

[@MusicNewb]

Because dy/dx = f(x,y), so f(x,y) is the slope.

[@romygupta1464]

how can i make fortran -77 program on Runge Kutta 4th order method for ODE2

[@ajeerahra]

sir can you solve this equation, 3.5d2i/dt2 + Adi/dt + Bi = 0 ?? A-B range from -10.0 to 10.0. The step size h should not be more than 1.0.

[@abdulrahmanradwan2046]

Thanx

[@zins_9122]

What is the step size in x?

[@kvyi]

The step size is whatever you decide. There are even clever ways of deciding, and changing the step size on the fly. See ua-cam.com/video/6bHdFef1S60/v-deo.html If you need more, then take a look at stiff solvers, ua-cam.com/video/KS_6mxdzQws/v-deo.html

[@howardman3926]

It's pronounced "R-oon-jeh" or "R-oon-geh"

[@ny6u]

👍🏻

[@salemmohamed968]

Are you sure this is runge kutta method?

[@visemihjanice7717]

Cus I haven't seen this in my text book... nor the examples in class...

[@obviously1871]

Just came here to find the right pronunciation of the name

[@andrewgazelka]

Is it just me or does Jacob sound like Ben Shapiro at 2x speed

[@jayant9151]

Yesss

[@lazyfate9357]

lol

[@faizanazam3902]

Your voice is a bit stinky....

[@azzteke]

RUNGE is German.
Your pronuciation is crap.
It's pronounced "R-oon-geh"

[@kvyi]

This has been covered by a comment already. Two, actually. You're right. You've educated me now, and I'll try to make more accurate pronunciations in the future. I'm not a native German speaker and make no pretensions. Thanks for watching.

[@navjotsingh2251]

Jacob Bishop dont worry. I say it how you say it in this video too. Not everyone can know german lol.