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Leapfrog integration will also get you conservation of energy.

See this thesis: http://umu.diva-portal.org/smash/get/diva2:140361/FULLTEXT01...

the basis for this awesome physics simulator: http://www.algodoo.com/

Conservation of the hamiltonian with leapfrog integration is also the principle behind Hybrid Monte Carlo methods http://www.mcmchandbook.net/HandbookChapter5.pdf



That thesis looks insteresting, but is also 472 pages. Is there a TL;DR version?




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