Title   name
KSIAM 2006 Annual Meeting
 
  Title
  Speaker   Yoon, Jungho  
  Date 2006-11-25
  Host
  Place 건국대학교
  File  의 1 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다.
 
Abstract : In this paper, we study the convergence behavior of interpolants by smooth radial basis functionsto polynomial interpolants in Rd, as the radial basis functions are scaled to be increasinglyflat. Larson and Fornberg [1] conjectured a sufficient property for this convergence, and theyalso conjectured that Bessel radial functions do not satisfy this property. First, in the case ofpositive definite radial functions, we prove both conjectures by Larsson and Fornberg for theconvergence of increasingly flat radial function interpolants. Next, we extend the results to thecase of conditionally positive definite radial functions of order m > 0.