论文标题
可变顺序的局部分段多项式曲线及其用于计算节点衍生物的设备
Local piecewise polynomial curve of variable order and its appliance for calculating of nodal derivatives
论文作者
论文摘要
在本文中，我们提出了一种新的Hermite型曲线在不均匀网格上的C1连续性的分段多项式。根据网格结的位置（均匀和非均匀），曲线是二次或立方的。研究了近似误差。对于非均匀网格，提出了一种计算结中第一和第二个衍生物的方法。我们还执行了几个数值实验，以说明拟议曲线的性质。给出了图形示例。
In this paper, we present a new Hermite type curve piecewise polynomial of C1 continuity on nonuniform grids. Depending on the location of the knots of the grid (uniform and nonuniform), the curve is quadratic or cubic. The approximation error is investigated. For nonuniform grids a method for calculating the first and second derivatives in knots is proposed. We also perform several numerical experiments which exemplify the properties of the proposed curve. Graphic examples are given.
