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Symbolic integration requires an accurate model of the system, whereas you can throw numerical methods at most problems and get results that are good enough. If
by donquichotte 8y ago
Symbolic integration requires an accurate model of the system, whereas you can throw numerical methods at most problems and get results that are good enough. If you worry about your satellite falling down you can always try energy-preserving integrators.
I would wager the guess that most PID controllers, arguably the most common application of numerical integration, work just fine with just basic forward Euler integration.
- thanatropism 8y agoI can't disagree with your reply because it seems we're living in entirely different planets. It's a good thing that we don't have to develop a full-scale polemic (I was thinking sociologists and economists, but heck look at Taleb the professional polemist) since the world can reward us both for adding value as technologists and engineers.