A rescaled method for RBF approximation
A rescaled method for RBF approximation
复制标题
DOI：
10.1007/978-3-319-59912-0_3
复制
发表时间：
2016-05
期刊：
影响因子：
--
通讯作者：
S. Marchi;A. Idda;G. Santin
中科院分区：
文献类型：
--
作者：
S. Marchi;A. Idda;G. Santin
在最近的论文[1]中，提出了一种计算稳定核插值的新方法。这种重新缩放的插值方法结合了标准核插值和适当定义的重新缩放操作，平滑了插值器的振荡。这一过程虽然前景广阔，但缺乏系统的理论研究。通过我们的分析，这种新方法可以理解为通过适当的重新缩放核的标准核插值。这种观点允许我们考虑它的误差和稳定性。
In the recent paper [1], a new method to compute stable kernel-based interpolants has been presented. Thisrescaled interpolationmethod combines the standard kernel interpolation with a properly defined rescaling operation, which smooths the oscillations of the interpolant. Although promising, this procedure lacks a systematic theoretical investigation. Through our analysis, this novel method can be understood as standard kernel interpolation by means of a properly rescaled kernel. This point of view allows us to consider its error and stability properties.