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Weakly singular Volterra integral equations of the different types areconsidered. The construction of accuracy-optimal numerical methods forone-dimensional and multidimensional equations is discussed. Since thisquestion is closely related with the optimal approximation problem, the ordersof the Babenko and Kolmogorov \(n-\)widths of compact sets from some classes offunctions have been evaluated. In conclusion we adduce some numericalillustrations for 2-D Volterra equations.

Numerical Methods of Optimal Accuracy for Weakly Singular Volterra Integral Equations