样条函数插值法

样条函数插值法

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contributed at 2018-12-04

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Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
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Geography SubjectPhysical GeographyClimatology
Earth System SubjectEarth Surface SystemAtmosphere

Detailed Description

样条函数插值法

 

设在区间[𝑎,𝑏]上有插值结点𝑎£𝑥1<𝑥2<<𝑥n£𝑏对应值𝑦1,𝑦2,…,𝑦n,则二次样条函数的分段表达式为:

式中,𝑎i𝑏i𝑐i为待定系数;𝑥i£𝑥£𝑥i+1

样条函数满足条件:

插值条件:

连接条件:

边界条件:

若取,则:

 

式中,𝑦1为端点导数值,可用三点抛物插值法求得。

 

参考文献

张连强,赵新平,欧阳宗继等:求算界限温度日期的一种新方法。地理学报,1993,48(1)

 

How to cite

《资源环境数学模型手册》 (2018). 样条函数插值法, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/41c8f7aa-d51c-4dd5-b301-af1cbd5efeb5
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Contributor

contributed at 2018-12-04

Authorship

Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
Homepage:  
View
Is authorship not correct? Feed back

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