Colloquium- Charlie Micchelli (U. Albany)

When:
November 14, 2014 @ 3:30 pm – 4:30 pm
2014-11-14T15:30:00-10:00
2014-11-14T16:30:00-10:00
Where:
Keller 401

Speaker:Charlie Micchelli (U. Albany)

Title: A Fourier analysis to identifying the limit of “flat” interpolation by radial basis functions approach.

Abstract: Following the work of several authors we are led to consider the limit of RBF interpolation when both the centers of the RBF and the argument of the interpolant simultaneously go to zero. In this talk, we refine and approach that was used about forty years ago in the study of stability of difference methods with least local truncation error for parabolic equations and provide general conditions on the Fourier transform of the RBF which allows for the precise description of the limit of “Flat” RBF interpolation.