Applied Mathematics and Numerical Analysis Seminar   RSS

27/03/2014, 15:00 — 16:00 — Room P3.10, Mathematics Building
, Institute of Applied Mathematics, Tartu University, Estonia

High-order methods for Volterra integral equations with weak singularities

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.

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