Description: 第一型样条插值，边界条件为两端的二阶导数值已知 第一型样条插值，边界条件为两端的一阶导数值已知-first-spline interpolation, boundary conditions for the two ends of the second derivative known numerical first-spline interpolation, boundary conditions for the two ends of a derivative known Numerical Platform: |
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Author:叶真 |
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Description:
在三次样条中，要寻找三次多项式，以逼近每对数据点间的曲线。在样条术语中，这些数据点称之为断点。因为，两点只能决定一条直线，而在两点间的曲线可用无限多的三次多项式近似。因此，为使结果具有唯一性。在三次样条中，增加了三次多项式的约束条件。通过限定每个三次多项式的一阶和二阶导数，使其在断点处相等，就可以较好地确定所有内部三次多项式。此外，近似多项式通过这些断点的斜率和曲率是连续的。然而，第一个和最后一个三次多项式在第一个和最后一个断点以外，没有伴随多项式。因此必须通过其它方法确定其余的约束。最常用的方法，也是函数spline所采用的方法，就是采用非扭结(not-a-knot)条件。这个条件强迫第一个和第二个三次多项式的三阶导数相等。对最后一个和倒数第二个三次多项式也做同样地处理。
-the Cubic Spline, to find three polynomial, approaching every right to point the data curve. The kind of terms, these data points called breakpoints. Because only two points a straight decisions, and in between the two curves can be used an infinite number of cubic polynomial approximation. Therefore, in order for the outcome of uniqueness. The Cubic Spline, add the cubic polynomial bound by the conditions. By limiting each cubic polynomial of the first order and second-order derivative, it breakpoint in the same Department, we can better identify all internal cubic polynomial. In addition, the polynomial approximation of these breakpoints slope and curvature is continuous. However, the last one and a cubic polynomial in a breakpoint and the final one, not accompanied by polynomials. There Platform: |
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Author:讲演 |
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Description: 利用样条插值求取一组数据点在各点的导数
(只提供函数)-using spline interpolation to strike a group of data points in the points in the derivative (only provide functions) Platform: |
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Author:zenger |
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Description:
在三次样条中，要寻找三次多项式，以逼近每对数据点间的曲线。在样条术语中，这些数据点称之为断点。因为，两点只能决定一条直线，而在两点间的曲线可用无限多的三次多项式近似。因此，为使结果具有唯一性。在三次样条中，增加了三次多项式的约束条件。通过限定每个三次多项式的一阶和二阶导数，使其在断点处相等，就可以较好地确定所有内部三次多项式。此外，近似多项式通过这些断点的斜率和曲率是连续的。然而，第一个和最后一个三次多项式在第一个和最后一个断点以外，没有伴随多项式。因此必须通过其它方法确定其余的约束。最常用的方法，也是函数spline所采用的方法，就是采用非扭结(not-a-knot)条件。这个条件强迫第一个和第二个三次多项式的三阶导数相等。对最后一个和倒数第二个三次多项式也做同样地处理。
-the Cubic Spline, to find three polynomial, approaching every right to point the data curve. The kind of terms, these data points called breakpoints. Because only two points a straight decisions, and in between the two curves can be used an infinite number of cubic polynomial approximation. Therefore, in order for the outcome of uniqueness. The Cubic Spline, add the cubic polynomial bound by the conditions. By limiting each cubic polynomial of the first order and second-order derivative, it breakpoint in the same Department, we can better identify all internal cubic polynomial. In addition, the polynomial approximation of these breakpoints slope and curvature is continuous. However, the last one and a cubic polynomial in a breakpoint and the final one, not accompanied by polynomials. There Platform: |
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Author:讲演 |
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Description: 进行分段三次Hermite插值和分段三次Spline插值，比较F-C取导数方法所得到期收益率曲线逼近中债结算公司的到期收益率曲线的效果的程序-Hermite interpolation for sub-three and three sub-Spline interpolation, comparing FC take derivative curve approximation method, due in settlement of debts due the company s procedures for the effect of yield curve Platform: |
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Author:youyouhun |
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Description: 问题：用三次样条插值法求节点的函数值。
算法描述：
1． 以 为参数变量的方法（三弯矩方程）
用二阶导数值
来计算S(x)。
首由有条件构造函数 的线性表达式，然后对 积分，在利用连续性得到三次样条函数S(x)在区间[ ]上的表达式
式中 是未知参数。
由第一类边界 ,导出关于 的三对角方程组
=
式中，
k=1,2,…n-1
,
求出 后再代入S(x)得到函数值。
-Question: using cubic spline interpolation method node function value. Algorithm Description: 1. That the parameter variables (three moment equation) used to calculate the numerical second derivative S (x). The first constructor from the conditional linear expression, and then on the points to be continuity in the use of cubic spline function S (x) in the interval [] where the expression is the unknown parameters. From the first category boundaries, derived on the tridiagonal equations where =, k = 1,2, ... n-1, obtained after the substitution S (x) be function values. Platform: |
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Author:wangyangyang |
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Description: 利用MATLAB编程实现“已知直升飞机旋转机翼外形曲线上的一些型值点及端点处一阶导数值”。-The use of MATLAB Programming known helicopter rotary wing shape curve at some point and the endpoint-type value of one derivative values. Platform: |
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Author:肖宗花 |
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Description: 中点公式求取导数
三点法求函数的导数
五点法求函数的导数
三次样条法求函数的导数
自适应法求函数的导数
辛普森数值微分法法求函数的导数
-Midpoint formula to strike a derivative of a function point method five-point derivative of the derivative of the function Method cubic spline derivative of a function of the adaptive function of the derivative Method Numerical Differentiation Method Simpson derivative of the function Platform: |
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Author:chris_zhou |
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Description: 三次样条函数插值，用于数值计算；内部有高效的子程序。已经写出的样条函数：自然样条；边界导数限定样条。-The program is used in Cubic spline interpolation for numerical calculation,with efficient internal subroutine. It has been written some spline functions: natural spline the boundary derivative qualified spline. Platform: |
Size: 2048 |
Author:linmt |
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Description: 背单词程序 数值微分包括用插值多项式求数值导数 用三次样条函数-Memorizing words program numerical differentiation include numerical derivative with interpolation polynomial Using cubic spline function Platform: |
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Author:pvanreline |
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