7.1.2-ODEs: Introduction to Runge-Kutta Methods

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7.1.2-ODEs: Introduction to Runge-Kutta Methods

Рет қаралды 128,161

11 жыл бұрын

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.

Пікірлер: 34

@yigitsimsek2805 5 жыл бұрын

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

@evileye4797 5 жыл бұрын

@waleedahmad2012 Ай бұрын

LMAO same

@andrewlee7307 8 жыл бұрын

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

@slimjijo123 10 жыл бұрын

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

@tburns3611 Жыл бұрын

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.

@adamrooski 9 жыл бұрын

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

@YuwanaSetiabudi 8 жыл бұрын

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

@VinaoG 9 жыл бұрын

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

@romygupta1464 7 жыл бұрын

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

@itsconrad132 8 жыл бұрын

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

@MusicNewb 7 жыл бұрын

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

@chriswang8189 9 жыл бұрын

GOOD JOB! AND , with love from China

@lbitten 10 жыл бұрын

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

@kvyi 10 жыл бұрын

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

@lbitten 10 жыл бұрын

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

@zins_9122 7 жыл бұрын

What is the step size in x?

@kvyi 7 жыл бұрын

The step size is whatever you decide. There are even clever ways of deciding, and changing the step size on the fly. See kzfaq.info/get/bejne/bMh4l6mWy5e3ZmQ.html If you need more, then take a look at stiff solvers, kzfaq.info/get/bejne/gbmPadCpyeC1p6c.html

@abdulrahmanradwan2046 4 жыл бұрын

Thanx

@ajeerahra 8 жыл бұрын

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.

@howardman3926 7 жыл бұрын

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

@newfynate4611 5 жыл бұрын

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.

@ny6u 4 жыл бұрын

👍🏻

@salemmohamed968 4 жыл бұрын

Are you sure this is runge kutta method?

@visemihjanice7717 Ай бұрын

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

@obviously1871 5 жыл бұрын

Just came here to find the right pronunciation of the name

@andrewgazelka 5 жыл бұрын

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

@jayant9151 5 жыл бұрын

Yesss

@lazyfate9357 5 жыл бұрын

lol

@azzteke 6 жыл бұрын

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

@kvyi 6 жыл бұрын

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 4 жыл бұрын

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