This is a great reflection of the tradeoffs in engineering and simulations. In the case of adopting Verlet integrations, I believe that it is largely used for systems where realistic renderings are preferred over physical accuracy.
arjunpat
It seems like a viable alternative to Verlet integration and Euler's method could be simpson's method which can have a pretty small error. There are also other quadrature techniques, like Richardson's extrapolation which are particularly effective at reducing the error.
SuryaTalla22
My best guess is that this method is highly recommended over the other methods because of the relative tradeoff between efficiency and accuracy. Even though there is a method that can be made unconditionally stable, it has a much higher order of growth. Although Verlet integration is not physically based, it still offers enough accuracy to be considered recommended in comparison to the other methods.
AnikethPrasad
Unlike Euler's method, Verlet integration doesn't introduce numerical errors and energy drift over time. It is also relatively efficient which explains why it is recommended.
ArjunPalkhade
Here's a short video on the principles of Verlet Integration: https://www.youtube.com/watch?v=g55QvpAev0I
This is a great reflection of the tradeoffs in engineering and simulations. In the case of adopting Verlet integrations, I believe that it is largely used for systems where realistic renderings are preferred over physical accuracy.
It seems like a viable alternative to Verlet integration and Euler's method could be simpson's method which can have a pretty small error. There are also other quadrature techniques, like Richardson's extrapolation which are particularly effective at reducing the error.
My best guess is that this method is highly recommended over the other methods because of the relative tradeoff between efficiency and accuracy. Even though there is a method that can be made unconditionally stable, it has a much higher order of growth. Although Verlet integration is not physically based, it still offers enough accuracy to be considered recommended in comparison to the other methods.
Unlike Euler's method, Verlet integration doesn't introduce numerical errors and energy drift over time. It is also relatively efficient which explains why it is recommended.
Here's a short video on the principles of Verlet Integration: https://www.youtube.com/watch?v=g55QvpAev0I
https://www.reddit.com/r/Unity3D/comments/pks6ys/i_learned_about_verlet_integration_thanks_to/
very cool simulation in a reddit post i found!