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math-ph2014
Variational integrators for perturbed non-canonical Hamiltonian systems
J. W. Burby, C. L. Ellison, H. Qin
Finite-dimensional non-canonical Hamiltonian systems arise naturally from Hamilton's principle in phase space. We present a method for deriving variational integrators that can be…
physics.comp-ph2014★ 3 cited
Initializing and stabilizing variational multistep algorithms for modeling dynamical systems
C. L. Ellison, J. W. Burby, J. M. Finn +2
Backward error initialization and parasitic mode control are well-suited for use in algorithms that arise from a discrete variational principle on phase-space dynamics. Dynamical s…