Computational and Applied Math Proseminar

Department of Mathematics, Arizona State University

Thursday, January 31, 2002, 12:15 p.m. in GWC Room 604

Jungho Yoon

Department of Mathematics

Approximation from a space spanned by the scattered shifts of a radial basis function

Abstract Approximation by translates of suitable radial basis functions is an important approach towards solving the (multivariate) scattered data problem. Its strengths are as follows:

(i) it facilitates the evaluation of the approximant;
(ii) the accuracy of approximation is usually very satisfactory provided the approximand f is reasonably smooth;
(iii) there is enough flexibility in the choice of basis functions.

In this talk, general theories on interpolation and quis-interpolation will be discussed. The major concern will be approximation powers depending on the choice of radial basis functions.

For further information please contact: mittelmann@asu.edu