作者初步研究了将样条函数引用于逼近石油馏份，即所谓由“连续”组份构成的“复杂”物系。
The author introduced the spline approximation techniques to the numerical simulation of petroleum fractions, which are known as the so called "continua" mixtures of "infinite" number of components.
样条函数以其特有的优点可以用来逼近任意的连续曲线，且具有很高的精度。
Spline functions can be used to approach arbitrary continuous curves with high accuracy.
本文就非闭光滑曲线上关于第二类边界条件的复三次样条函数的逼近误差进行了论讨，取得了较好的结果。
In this paper, we discussed the approximation errors of complex cubic interpolation spline on open smooth curves under the second boundary condition and got the better results.
然后分析了多结点样条插值方法的逼近精度、正则性、插值核函数的频域特性。
Then the accuracy of approximation, regularity of many-knot splines interpolation method and frequency property of the interpolation kernel are worked out for comparison.
讨论曲线上柯西型奇异积分利用三次复样条进行近似计算的误差估计，对于相关函数类给出了这类逼近的误差阶。
This paper discusses the estimation of approximation orders of singular integrals over a general curve by means of cubic complex spline.
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。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
张力样条插值函数在给定区间上分段逼近真值。
Tension spline interpolation function maintains smoothness on a given interval, and it approaches a true function subinterval by subinterval.
在给出了凸轮的廓线坐标后，采用三次样条函数对凸轮廓线进行逼近，使得理论分析结果更具实用价值。
After give out the coordinates of cam profile, the paper uses cubic spline interpolation to approximate the cam profile, which make theoryly result more practicable.
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。
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。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
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