数值方法解算四元微分方程的稳定性分析  

Analysis of the Stability of Solving Quaternion Differential Equations Based on Numerical Method

作　　者：王德春[1] 况敬波[2] 

机构地区：[1]海军潜艇学院,青岛266071 [2]哈尔滨工程大学,哈尔滨150001

出　　处：《战术导弹技术》2006年第6期73-75,共3页Tactical Missile Technology

摘　　要：详细分析了经典R-K算法的稳定性,计算得到了它的稳定区间.在此基础上提出了一种改进的R-K算法,它在[-∞,0]上绝对稳定,并且与经典R-K算法具有相同的计算精度.The stability of classical R-K algorithm is analyzed in detail and the stable interval is calculated. An improved R-K algorithm to solve the quaternion differential equation is presented. The results show that it is absolute stable at the range of [ - ∞ , 0 ], and the accuracy is the same as that of classical R-K algorithm.

关 键 词：稳定性 分析 数值方法 四元数微分方程 

分 类 号：TJ765.1[兵器科学与技术—武器系统与运用工程]