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The authors consider the interior Dirichlet problem for Laplace's equation onplanar domains with corners. In order to approximate the solution of thecorresponding double layer boundary integral equation, they propose a numericalmethod of Nystrom type, based on a Lobatto quadrature rule.The convergence andstability of the method are proved and some numerical tests are included.

A Nystrom method for a boundary integral equation related to the Dirichlet problem on domains with corners