ME564 Lecture 18: Runge-Kutta integration of ODEs and the Lorenz equation

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Steve Brunton

Steve Brunton

Күн бұрын

ME564 Lecture 18
Engineering Mathematics at the University of Washington
Runge-Kutta integration of ODEs and the Lorenz equation
Notes: faculty.washington.edu/sbrunto...
Matlab code:
* faculty.washington.edu/sbrunto...
* faculty.washington.edu/sbrunto...
* faculty.washington.edu/sbrunto...
* faculty.washington.edu/sbrunto...
Course Website: faculty.washington.edu/sbrunto...
faculty.washington.edu/sbrunton/

Пікірлер: 11
@onurkurum
@onurkurum 2 жыл бұрын
Been watching the whole lecture up to this point and I really felt like commenting when you said your students are doing really well! It’s because you are a really good teacher sir. Much respect and appreciation coming your way by a senior scientist\engineer. You deserve everything you have achieved and please don’t let anyone say otherwise. Cheers!
@AdzkaMumtaz
@AdzkaMumtaz 11 ай бұрын
have been binge watching this playlist at 1.5 playback speed for past 2 days kinda expecting you to forget the factorial again at 5:07 lol. but you wrote it at the end, you got me there :) thank you for making the lecture open to public
@mariostudio7
@mariostudio7 Жыл бұрын
That's how every maths lecture should be like. Dedicating a bit of time to explain the code and visualize the result is what makes the most difference.
@mohamedelshami3823
@mohamedelshami3823 Жыл бұрын
great lecture, thanks a lot!
@jeremielhomme8572
@jeremielhomme8572 Жыл бұрын
Quality teaching! Thank you so much!
@danielhoven570
@danielhoven570 4 жыл бұрын
watching through these at high playback speed. Great refresher since it's been a few years, and I'm getting into higher level analysis.
@Eigensteve
@Eigensteve 4 жыл бұрын
Glad you like them!
@shroqsaeed8772
@shroqsaeed8772 4 жыл бұрын
Computational Physics (phys303) 1. (Project #1, Chaos Theory) The equation of periodically driven pendulum is given by d 2 θ dt2 + β dθ dt + sin(θ) = f cos(Ωt) take Ω = 3/2, β = 0.5, and note that ω = dθ dt . Solve the above equation (you can solve this equation using Runga-Kutta method) over −π < θ < π for the following values of f : 0.9, 1.075, 1.12, 1.2, 1.4, 1.45, 1.47, 1.5, 1.51 Now, make the following graphs: (a) Draw ω versus θ for the above f values. (b) Draw θ versus t for f = 1.12 and f = 1.2 (c) Draw the attractor (Ω versus f) for the range of f : 0.9 − 1.6. (d) Draw the Lyapunov exponent, which is defined as P3 i=1 σi = −β. Here, σ1 = σ2 = −β/2, and σ3 = 0. Now, draw σ1 versus f for the range of f : 0.9 − 1.6. This question hasn't been answered can you help me please
@antonete125
@antonete125 4 жыл бұрын
amazing lecture, do you write the spaces before and after the equal '=' , or Matlab do it for you. Thanks for this video
@Eigensteve
@Eigensteve 4 жыл бұрын
I do the spacing manually to make it more readable.
@Goodluck_2
@Goodluck_2 4 жыл бұрын
It is sweet
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