Why Runge-Kutta is SO Much Better Than Euler's Method #somepi
299K views · Aug 18, 2024 · Education
Comments · 440
@decare696 · 2 years ago · pinned
please learn how to pronounce Runge.You don't have to be perfect, but at least try.
388
@Zxv975 · 11 months ago
"What is rhe language of nature?"<br>Me, a physicist: DIFFERENTIAL EQUATIONS <br>"if you were to ask a physicist, they'd probably say 'differential equations'"
107
@o_-_o · 2 years ago (edited)
My favorite quote<br>from engineer courses<br>is: everything is linear<br>if you watch it really closely.
861
@berryesseen · 2 years ago
Great video! It's funny that 3Blue1Brown's manim environment became the official animation framework of Youtube math videos. Every time I see some video made by manim, before watching it, I know that it is gonna be a good one. It never disappoints.
267
@Eevee8858 · 2 years ago
Idk man seems youtube glitch or something but it's missing 'k' after 898 in your sub count hope youtube fix the issue soon, once again thanks for a great video
561
@ProjectPhysX · 2 years ago
Runge-Kutta still leaks energy.<br><br>For the equations of motion, the one integration scheme to rule them all is Velocity-Verlet. That conserves energy <i>exactly</i> (apart from floating-point round-off), is 2nd order, and is just as computationally cheap as Euler.
300
@WilliamStrealy · 2 years ago
Hahaha, thanks for the Vsauce callback at <a href="https://www.youtube.com/watch?v=dShtlMl69kY&t=68">1:08</a>
56
@pierreabbat6157 · 2 years ago
The other end of the spring is fastened to a Hooke.
9
@scottmiller2591 · 2 years ago
Runge = Run-ge.
5
@KStarGamer_ · 1 year ago
I'm surprised how no one seems to have brought this up but for v(t) at <a href="https://www.youtube.com/watch?v=dShtlMl69kY&t=150">2:30</a>, it should be sin not cos
5
@geuros · 2 years ago
I really didn't expect to hear Gaspard de la Nuit :)
24
@Sammy-cq5gp · 1 year ago
love the use of gaspard
5
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