Symplectic integrators

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Relevant courses Physics 105: Analytic Mechanics
Keywords integration, differential equations, sho, hamiltonian, louisvillian, flow, symplectic, volume-preserving
Student levels Advanced undergrads, Grads
Learning objectives appreciate some fundamental properties of Hamiltonian flows,
understand what kinds of coordinate transformations preserve Hamiltonian structure,
construct integrators that preserve Hamiltonian structure,
observe that symplectic integrators approximately conserve energy and understand why,
compare methods of numerical integration of ODEs

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