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The springs are not damped yet, but for the main example, drag is enabled[1]. This continuously slows down the particles.

Drag is computed[2] for all the particles using something similar to the Drag equation[3].

Also, like electricslpnsld said, having a small enough time step helps.

[1] https://github.com/loicbourgois/gravitle/blob/master/fronten...

[2] https://github.com/loicbourgois/gravitle/blob/master/src/par...

[3] https://en.wikipedia.org/wiki/Drag_equation

You might want to look into finite elements. That's a bit harder conceptually, but it's not that hard to implement and should be far more realistic and robust.

I presume by keeping the time step small enough? If you go into the integrator settings in the demo and crank the time step, it does go unstable.

Like the old xspringies from '93.