In order to study the transport of beams with arbitrary phase space contours, the spline function representation of phase space contours is proposed.
为了研究具有任意形状相空间的束流的传输，提出了束流相空间变换的样条函数表述。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
This paper set out from the high order shear deformation theory at first, and utilize the spline finite point method to set up a new dynamic model of piezoelectric intellectual plate.
本文首先从高阶剪切变形理论出发，利用样条有限点法，建立了压电智能层合板新的动力模型；
The influence of nodal points interval of angle of attack and order of spline function on estimation results is also researched.
同时还研究了迎角节点间隔和样条函数的次数对估计结果的影响。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Its number of variables is similar to the cubic spline. Its order of smoothness and approximation is one order lower than that of cubic spline. Therefore it is similar to the binary spline.
其变量个数类似于三次样条，光滑性与逼近阶都比三次样条降低一次，即类似于二次样条。
Chapter 3: Introduce the numerical solution of the second order matrix differential using matrix spline function.
第三章讨论的是基于矩阵样条函数的二阶矩阵微分方程数值解。
In chapter 3, in order to obtain a fast algorithm of computing the foot point of a given point to a spiral curve, we study the problem of circular spline fitting.
在第三章，为了得到点到空间曲线距离的快速计算算法，我们研究了利用圆弧样条拟合点集的问题。
In chapter 3, in order to obtain a fast algorithm of computing the foot point of a given point to a spiral curve, we study the problem of circular spline fitting.
在第三章，为了得到点到空间曲线距离的快速计算算法，我们研究了利用圆弧样条拟合点集的问题。
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