A Better Integrator? The Runge-Kutta Family of Integrators - Part 1 of 2 - Mathematical Foundation

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  • Опубліковано 14 жов 2024

КОМЕНТАРІ • 34

  • @mnks2413
    @mnks2413 5 років тому +20

    I would like to say that this is one of the best presentation I ever seen before. very clear and simple and staitforward presentation. It would be beter if you add the full derivation of the four k's slips of RK4. One more thing, please would you tell me which apps or software you are using to create your tutorial. thank you in advance and good luck.

  • @nighthawk2174
    @nighthawk2174 2 роки тому +2

    Hard to express how good you explained this. Saved my grades or sure thank you!

  • @wassefah7779
    @wassefah7779 4 роки тому +1

    why dislike, we still have such people even here, uh those heaters...
    thank you sir highly appreciated work thank you so much.

  • @edsonrodrigues3147
    @edsonrodrigues3147 8 місяців тому

    I swear the god that I was just hearing a beautiful song, but it was just your class!

  • @gillesh333
    @gillesh333 4 місяці тому +1

    I never comment but this time it's worth it, thank you, great video

  • @zhongxuanhou2727
    @zhongxuanhou2727 6 років тому +1

    Watch a lot of your videos today, and thumbs up every video. Very straightforward and helpful!

  • @razmy27
    @razmy27 2 роки тому +1

    Wonderful explanation! Thank you.

  • @adeo6530
    @adeo6530 4 роки тому +5

    such helpful videos, i appreciate every single one
    👏 thank you

  • @emredag3768
    @emredag3768 2 роки тому

    Thank you very much for the content. I can not describe how insightful it is. Have a lovely life :D

  • @juniorsilva5713
    @juniorsilva5713 2 роки тому +1

    Amazing lecture!

  • @AlanTorresSorek
    @AlanTorresSorek 6 років тому +2

    Your videos are awesome! they have helped me a lot, thanks. I would like to know if you will talk about finite differences, i'm working with the quarter car model and i'm stuck with the equations. I'm making a real time numerical simulation of a suspension and your videos have been a great tool, thanks for all.

    • @Freeball99
      @Freeball99  6 років тому

      Thanks for the feedback, it's nice to hear.
      Finite difference is conceptually much the same thing as this - a slight re-working of the math. Where are you stuck?

  • @sachinjindal9283
    @sachinjindal9283 3 роки тому +1

    Thank You, Brilliantly explained. I am trying to automate this in MATLAB, this was helpful

    • @AJ-et3vf
      @AJ-et3vf 3 роки тому

      That's nice. You can actually also read the documentation for ode45, the standard MATLAB ode solver. It has plenty of examples there including solving systems of ODEs or higher ODEs, which can guide you well and save time.

  • @umedina98
    @umedina98 2 роки тому

    Amazing explanation! Thanks for sharing

  • @dylaninho2500
    @dylaninho2500 3 роки тому +1

    Very good video as always, what do you mean by the ‘weights’?

  • @theizil5240
    @theizil5240 4 роки тому +2

    Thanks so much for the video it was of a great help to me, can you make a video about the Cowel method ?

  • @alialhameedi990
    @alialhameedi990 6 років тому +1

    Perfectly you have explained. Thanks a lot

  • @doktorphys810
    @doktorphys810 4 роки тому +2

    so Runge Kutta is derived from the terms in the Taylor series but what I don't understand is how we can say these K_i vectors could be equivalent to terms in the taylor expansion.

    • @Freeball99
      @Freeball99  4 роки тому +1

      That's what makes the RK method so smart. The math to derive it is not that difficult, but quite tedious - especially for the RK4 case. I thought that all that math would clutter this video and I'd lose people. Here is a derivation for the RK2 case, which is somewhat simpler than RK4, if you are interested. ua-cam.com/video/X-_qCcYDbuY/v-deo.html

  • @achrafbenammar6936
    @achrafbenammar6936 2 роки тому +1

    you're life saver

  • @eustacenjeru7225
    @eustacenjeru7225 2 місяці тому

    Brilliant

  • @michaeldifranco7551
    @michaeldifranco7551 4 роки тому +1

    What software are you using? It looks really nice.

    • @Freeball99
      @Freeball99  4 роки тому +2

      App is "Paper" by WeTransfer running on a iPad 13-inch and using an Apple Pencil.

  • @alxyok
    @alxyok 3 роки тому +2

    hey, what software do you use to draw on your ipad?

    • @Freeball99
      @Freeball99  3 роки тому +2

      Using an app called "Paper" by WeTransfer. Running on an iPad Pro 13 inch and using a Apple Pencil.

  • @FabrizioSberla
    @FabrizioSberla 3 роки тому

    What are the software and the tools you used to write?

    • @Freeball99
      @Freeball99  3 роки тому

      The app is called "Paper" by WeTransfer. Running on an iPadPro 13 inch and using an Apple Pencil.

  • @drover7476
    @drover7476 2 роки тому

    I love you sir

  • @modernbabylonacademy8788
    @modernbabylonacademy8788 10 місяців тому

    Sir can I know what the software that u use to write

    • @Freeball99
      @Freeball99  10 місяців тому

      The app is called "Paper" by WeTransfer. It is running on an iPad Pro 13 inch.