Date & Time: Thursday, June 23, 2011,
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
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.