Projection and Nyström methods for FIE on bounded and unbounded intervals

Applied and Computational Mathematics Seminar
Monday, February 9, 2009 - 1:00pm for 1 hour (actually 50 minutes)
Skiles 255
Giuseppe Mastroianni – Dept. of Mathematics and Informatics, Univ. of Basilicata, Italy)
Haomin Zhou
In this talk I will show a simple projection method for Fredholm integral equation (FIE) defined on finite intervals and a Nyström method for FIE defined on the real semiaxis. The first method is based the polynomial interpolation of functions in weighted uniform norm. The second one is based on a Gauss truncated quadrature rule. The stability and the convergence of the methods are proved and the error estimates are given.