Geometric Integration of Non-autonomous Systems with Application to Rotor Dynamics

Details Geometric Integration of Non-autonomous Systems with Application to Rotor Dynamics Geometric Integration of Non-autonomous Systems with Application to Rotor Dynamics

2011-03-09

arxiv.org/abs/1103.1920v1

Mathematics

Numerical Analysis

Scientific paper

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 geometric (structure preserving) integration
algorithms are superior to conventional Runge-Kutta methods.

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