Eventos > Applied and Numerical Analysis Seminar

High-order methods for Volterra integral equations with weak singularities

27/03/2014 Thursday 27th March 2014, 15:00 (Room P3.10, Mathematics Building)  More
Arvet Pedas, Institute of Applied Mathematics, Tartu University, Estonia

We consider the numerical solution of some classes of linear Volterra integral equations with singularities. We apply to them a smoothing transformation so that the exact solution of the resulting equation does not contain any singularities in its derivatives up to a certain order. After that the regularized equation is solved by a piecewise polynomial collocation method on a mildly graded or uniform grid. Global convergence estimates are derived and some superconvergence results are given.