Quartic spline-on-spline interpolation

被引：1
|
作者：
Gao, XP [1 ]
Shu, S [1 ]
Fu, KX [1 ]
机构：
[1] XIANGTAN UNIV,DEPT MATH,XIANGTAN 411105,HUNAN,PEOPLES R CHINA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 71卷 / 02期
关键词：
quartic spline; spline-on-spline; interpolation;
D O I：
10.1016/0377-0427(95)00223-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper provides a class of quartic spline-on-spline interpolation S-[k](x) on the function f(x), k = 0(1)4. Under the end conditions selected appropriately, we show that when the knots are equally spaced, with spacing h, then the order of accuracy of the spline-on-spline S-[0](x), S-[1](x) approximations f(x), f' (x) are O(h(5)), respectively, and the order of accuracy of the spline-on-spline S-[k](x) approximations f((k))(x) are O(h(4)), k = 2, 3, 4.
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页码：213 / 223
页数：11
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