非自治系统的几何积分及其在转子动力学中的应用
Geometric Integration of Non-autonomous Systems with Application to Rotor Dynamics
AI总结:
研究非自治经典工程问题(如转子动力学)的几何积分,通过数值实验和向后误差分析证明几何(保结构)积分算法优于传统龙格-库塔方法。
摘要:
研究了非自治经典工程问题(如转子动力学)的几何积分。通过数值实验和向后误差分析表明,几何(保结构)积分算法优于传统龙格-库塔方法。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。