三次样条函数

This is for my use of cubic spline function interpolation method procedures.

详细说明：这是我编的利用三次样条法进行函数插值的程序。

This is a cubic spline interpolation function of the realization of the C code.

详细说明：这是一个三次样条插值函数实现的C代码。

Prepared by the cubic spline interpolation function, TSS method diagonal matrix equation function, interpolation function point value function.

C#编写的三次样条插值函数，TSS法求解对角矩阵方程函数，插值点函数值计算函数。

Application of FLAC and numerical differential to surface deformation observation;2. The formulas solving numerical differential and integral of discrete function arc deduced in this paper.

推导了三次样条插值在求解列表函数的数值微分与积分的公式，给出了余项估计，编写了用于求解数值微分与积分的通用程序，通过数值算例表明，三次样条在插值逼近中具有非常好的性质。

The LMD algorithm uses extrema to define the local mean and envelope, then to smooth the mean and envelope. To decrease errors in the smoothing process by using moving averaging, a new local mean and envelope definition method (the spline-based LMD) is proposed. The upper envelope and the lower envelope are obtained by connecting the local maxima and the local minima using a cubic spline line. The local mean is defined as a mean of the upper envelope and the lower envelope. A nonlinear simulation signal and a practical vibration signal are decomposed by the LMD and the spline-based LMD.

LMD算法用极值点来定义局部均值函数和局域包络函数，然后用滑动平均来平滑均值和包络函数，针对用滑动平均平滑均值和包络函数误差较大的缺点，提出了采用三次样条对上、下极值点分别插值求得上下包络线，然后由上下包络线的平均获得局部平均函数，由上下包络线相减的绝对值获得局部包络的方法。

From the minimum potential energy principle, the shape discrimination is transformed into the solution of minimum characteristic value.

将轧后板带离散为若干纵向条元，用三次样条插值函数和正弦函数构造挠度模式，根据最小势能原理，将板形判别——失稳判别——归结为最小特征值的求解。

Based on the analysis and summary of basic ideas and methods,this thesis proposes two new estimation of error of higher order approximation.

方法二是在等距分布的条件下，基于三次样条插值函数的三弯距算法，通过利用节点处弯距的加权和近似计算区间中点处的二阶导数。

This thesis will be expanded from two aspects: first, delta-sequence obtained by cubic spline interpolation cardinal function showed the properties of symmetry, Riesz basis and interpolation. Non linear convection diffusion equation (Burgers′equation) was used as an example. Then we modified this delta-sequence to improve the attenuation, the same example was used in numerical application.

在小波方法与PDE算法相结合方面，本文主要从两方面入手：首先是以样条插值基函数为基础构造δ-序列核，以非线性对流扩散方程为例给出了一种数值算法；进而对三次样条插值基函数进行改进，构造新的具有更快衰减性质的δ-序列核，同样以非线性对流扩散方程为例验证了新函数在数值求解中的有效性。

This paper uses cubic spline interpolation function, setting up a mapping between control inputs and control outputs directly based on the data of control input-output, and receives the control algorithm of cubic spline interpolative control for single variable and two variables to separately control the first order system and second order system.

本文利用三次样条插值函数，直接由控制输入输出数据对建立了控制输入与控制输出之间的映射关系，得到了一元三次样条插值控制算法和二元双三次样条插值控制算法，二者可以分别对单输入单输出系统和双输入单输出系统进行控制。

First,using cubic spline function to describe the geologic model in detail,then using fermat's principle to introduce deferential form for a set of raypath equations.

首先利用三次样条函数详细描述地质模型，根据费马原理导出微分形式的射线路径方程组。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。