Available versions | problems, solutions |
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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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