Hermite interpolation with radial basis functions on spheres

被引：0
|
作者：
Fasshauer, GE [1 ]
机构：
[1] IIT, Dept Comp Sci & Appl Math, Chicago, IL 60616 USA
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 1998年 / 10卷 / 01期
关键词：
spherical interpolation; Hermite interpolation; radial basis functions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show how conditionally negative definite functions on spheres coupled with strictly completely monotone functions (or functions whose derivative is strictly completely monotone) can be used for Hermite interpolation. The classes of functions thus obtained have the advantage over the strictly positive definite functions studied in [17] that closed form representations (as opposed to series expansions) are readily available. Furthermore, our functions include the historically significant spherical multiquadrics. Numerical results are also presented.
引用
收藏
页码：81 / 96
页数：16
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