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Why Runge-Kutta is SO Much Better Than Euler's Method

submitted by happytoes to mathematics 9 monthsAug 23, 2024 16:00:43 ago (+2/-0)     (www.youtube.com)

https://www.youtube.com/watch?v=dShtlMl69kY

A video about numerical methods for solving differential equations. With pretty animations. And a nice exposition of fourth order Runge-Kutta


4 comments block

Had a quick watch of the first three minutes of the first video.

It is very nice when you have a problem that you can solve exactly but almost no problems are exactly solvable, that is the problem and that is why it is difficult. And all the exactly solvable problems (and there are about three or four of them, that's all) um, have already been solved unfortunately and all the rest of the interesting problems that need to be solved cannot be solved exactly ...

I've also taken a peak at lecture number three where he starts off talking about other ways to make solving x^5+x=1 into a perturbation problem, so I think that lecture number one is about to turn into hard maths and its past my bed time,...