**Date & Time:** Thursday, June 23, 2011,
16:15-17:00

**Venue:**Room No. 215, Department of Mathematics

**Title:** A new Nystrom method to treat a nonlinear integral equation of the second kind

**Speaker:** Prof. Laurence Grammont
La Muse, University of Lyon,
France

**Abstract: **

In order to treat a nonlinear integral equation, one usually discretizes the equation first to obtain a nonlinear system of a finite dimension, which is then solved by a Newton like method. We propose to apply the Newton scheme first and then discretize the linear equations obtained. We prove that, with Nystrom method as a discretization, while both approaches are not equivalent, our approach is an improvement over the classical treatment.