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On numerics: there are entire textbooks at a relatively elementary level (no differential geometry) with titles like "Simulating Hamiltonian dynamics". At the e
by thanatropism 10y ago
On numerics: there are entire textbooks at a relatively elementary level (no differential geometry) with titles like "Simulating Hamiltonian dynamics". At the end of the day, verifying that a discrete map (approximating a Hamiltonian system) is symplectomorphic is a matter of linear algebra.
On theory: there are a couple of good lectures by Dusa McDuff on YouTube; she also has a short tutorial-like PDF somewhere googleable.