Extrapolation Models

Monday, October 11, 2010 -
4:00pm to 6:00pm
We discuss the role of linear models for two extrapolation problems. The rst is the ex-trapolation to the limit of in nite series, i.e. convergence acceleration. The second is an extension problem: Given function values on a domain $D_0$, possibly with noise, we would like to extend the function to a larger domain $D, D_0 \subset D$.  In addition to smoothness at the boundary of $D_0$, the extension on $D \ D_0$ should also resemble behavioral trends of the function on $D_0$, 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.
David Levin
Tel Aviv University
Event Location: 
Fine Hall 214