Abstract:In this paper convergence results with respect to Hölder-Zygmund norms-including also maximum norm error estimates-are derived for the fully discrete trigonometric collocation method presented earlier by Saranen and Vainikko for solution of boundary integral equations on smooth closed curves. Approximation of the integral operator is based on product integration for which the explicit Fourier representation of the main part is not needed, and still the convergence of arbitrarily high rate for smooth solutions … Show more
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