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Superconvergence in the Maximum Norm of a Class of Piecewise Polynomial Collocation Methods for Solving Linear Weakly Singular Volterra Integro-Differential Equations
A piecewise polynomial collocation method on graded grids for solving linear weakly singular integrodifferential equations of Volterra type is studied.It is shown that a special choice of collocation parameters improves the convergence rate of the method, the error estimates for all values of the nonuniformity parameter of the grid are …