Geometric Integration of Non-autonomous Systems with Application to Rotor Dynamics
arXiv:1103.1920h-index: 20
Originality Synthesis-oriented
AI Analysis
It provides a practical demonstration of geometric integration's superiority for a class of engineering problems, though the approach is incremental.
The paper demonstrates that geometric integration methods outperform conventional Runge-Kutta methods for non-autonomous systems like rotor dynamics, as shown by numerical experiments and backward error analysis.
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.