摘要
传统获取船舶航行的轨迹需要大量的数据点,这对船东监测船舶运行状况带来了很大困难,为了能根据少量的船舶数据点推算出船舶航行的轨迹,提出了用数值分析法来推算船舶航行的轨迹。运用拉格朗日插值法和牛顿差值对船舶航行轨迹推算,理论分析了解决这一问题的关键点及进行了误差分析,并给出了相关公式,对相关结果进行了Matlab仿真,得出拉格朗日插值法在处理船舶航行轨迹时有简单之处,随着节点数的增加,但计算量大大增加。运用牛顿插值推算船舶航迹相比拉格朗日差值计算量大大减小,而且有较高的精度,得出了数值分析推算船舶航行轨迹的可行性。
The traditional way to get trajectory of ship sailing requires a lot of data points, which brought great difficulties to ship owners in monitoring the ship running condition. In order to project the ship navigation track based on less ship sailing ship data points, the paper proposes the method of numerical analysis to project the ship navigation track and apply the methods of Lagrange interpolation and Newton interpolation to project the ship navigation track. It does theoretical analysis on the key point of this problem, error analysis and presents relevant formula. Then it does Mat- lab simulation to the results and obtains a easy way to deal with the navigation track based on Lagrange interpolation：With the number of nodes in- creasing, the calculation increases. Compared with Lagrange interpolation method, Newton interpolation method requires less calculation and has high- er accuracy and then gets the result that it is feasible to use numerical analysis to project ship sailing trajectory.
出处
《科技视界》
2013年第1期101-102,共2页
Science & Technology Vision
关键词
航迹推算
插值法
均差
数值分析
Dead reckoning
Interpolation
Error
Numerical analysis
