Applied Interdisciplinary Mathematics

Date:  Friday, January 11, 2013
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Spectra of multiplication operators as a numerical tool

Abstract:   We introduce a numerical procedure for the construction of interpolation and quadrature formulae on bounded regions in the plane. The construction is based on the behavior of spectra of certain multiplication operators and leads to nodes which are inside a prescribed region in R^2 . The resulting interpolation schemes are numerically stable and the quadrature formulae have positive weights and almost (but not quite) optimal numbers of nodes. The performance of the algorithm is illustrated by several numerical examples and applications.


Speaker:  Bogdan Vioreanu
Institution:  University of Michigan

Event Organizer:   AIM Seminar Organizers    millerpd@umich.edu

 

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