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math.NA2011
Geometric Integration of Non-autonomous Systems with Application to Rotor Dynamics
Klas Modin
Geometric integration of non-autonomous classical engineering problems, such as rotor dynamics, is investigated. It is shown, both numerically and by backward error analysis, that…
math.NA2011★ 27 cited
Geometric Integration of Hamiltonian Systems Perturbed by Rayleigh Damping
Klas Modin, Gustaf Söderlind
Explicit and semi-explicit geometric integration schemes for dissipative perturbations of Hamiltonian systems are analyzed. The dissipation is characterized by a small parameter $ε…