Article ID Journal Published Year Pages File Type
512465 Engineering Analysis with Boundary Elements 2013 6 Pages PDF
Abstract

This is a continuation of our former study, Luh [1], of the shape parameter ββ contained in Gaussian e−β|x|2e−β|x|2, x∈Rnx∈Rn. Instead of using the error bound presented by Madych and Nelson [2], here we adopt an improved error bound constructed by Luh to evaluate the influence of ββ on error estimates. This results in a new set of criteria for the optimal choice of ββ and much sharper error estimates for Gaussian interpolation. What is important is that the notorious ill-conditioning of Gaussian interpolation can be greatly relieved because in this approach the fill distance need not be very small.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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