Integro sextic spline interpolation and its super convergence
Integro sextic spline interpolation and its super convergence
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DOI：
10.1016/j.amc.2012.12.062
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发表时间：
2013-02
期刊：
影响因子：
--
通讯作者：
Jinming Wu;Xiaolei Zhang
中科院分区：
文献类型：
--
作者：
Jinming Wu;Xiaolei Zhang
在本文中，我们使用六次b样条构造一个基于积分值的近似函数，而不是基于通常在结点处的函数值。它被称为积分六次样条插值。主要证明了在结点处逼近函数值、二阶导数值和四阶导数值的超收敛性（分别为八阶、六阶和四阶）。
In this paper, we use sextic B-splines to construct an approximating function based on the integral values, rather than the usual function values at the knots. It is called integro sextic spline interpolation. The super convergence (eighth, sixth and fourth order, respectively) in approximating function values, second-order derivative values and fourth-order derivative values at the knots is mainly proved.