Bonus Lecture: Simulation and Geometry

In this lecture, we saw some of the geometry underlying classical mechanics and explored how understanding this geometry can lead us to well-behaved simulation algorithms. Along the way, we explored conservation laws and Noether’s theorem.

Discrete Mechanics

You can find a demo of the different Euler integrators applied to a pendulum here, and you can find a demo of how they flow particles on phase space here.

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