Tel-Aviv University
School of Mathematical Sciences
Department of Applied Mathematics

Applied Mathematics Seminar


Tuesday, October 26st, 2010

Schreiber 309, 15:10



David Levin

Tel Aviv University



Extrapolation Models

Abstract:

We discuss the role of linear models for two extrapolation problems. The first is the extrapolation to the limit of infinite series, i.e. convergence acceleration. The second is an extension problem: Given function values on a domain, , possibly with noise, we would like to extend the function to a larger domain , . In addition to smoothness at the boundary of , the extension on should also resemble behavioral trends of the function on such as growth and decay or even oscillations. In both problems we discuss the univariate and the bivariate cases, and emphasize the role of linear models with varying coefficients.