Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
512465 | Engineering Analysis with Boundary Elements | 2013 | 6 Pages |
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
Authors
Lin-Tian Luh,