Monotone and convex interpolation by weighted cubic splines

被引：8
|
作者：
Kvasov, B. I. [1 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Inst Computat Technol, Novosibirsk 630090, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 10期
基金：
俄罗斯基础研究基金会;
关键词：
monotone and convex interpolation; weighted cubic splines; adaptive choice of the shape-controlling parameters;
D O I：
10.1134/S0965542513100102
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Algorithms for interpolating by weighted cubic splines are constructed with the aim of preserving the monotonicity and convexity of the original discrete data. The analysis performed in this paper makes it possible to develop two algorithms with the automatic choice of the shape-controlling parameters (weights). One of them preserves the monotonicity of the data, while the other preserves the convexity. Certain numerical results are presented.
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页码：1428 / 1439
页数：12
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