THE NOT-A-KNOT PIECEWISE INTERPOLATORY CUBIC POLYNOMIAL

被引：7

作者：

BEHFOROOZ, G

机构：

[1] Department of Mathematics Utica College, Syracuse University Utica

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1992年 / 52卷 / 01期

关键词：

D O I：

10.1016/0096-3003(92)90096-J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the main idea of the not-a-knot cubic spline of De Boor [8] will be extended to all the interior points (knots) of the spline interval to obtain a piecewise interpolatory cubic polynomial. Instead of the original and conventional not-a-knot cubic spline, to construct this piecewise polynomial we do not need to solve a tridiagonal system of linear equations, and this provides a shortcut which helps us save the time of doing more computations. The order of convergence of this piecewise cubic polynomial is O(h4).

引用

页码：29 / 35

页数：7

共 10 条

[1] ON THE CONVERGENCE OF SOME CUBIC SPLINE INTERPOLATION SCHEMES [J].