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Numerical Methods of Optimal Accuracy for Weakly Singular Volterra Integral Equations

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 نشر من قبل Ilya Boykov Dr.
 تاريخ النشر 2013
  مجال البحث
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Weakly singular Volterra integral equations of the different types are considered. The construction of accuracy-optimal numerical methods for one-dimensional and multidimensional equations is discussed. Since this question is closely related with the optimal approximation problem, the orders of the Babenko and Kolmogorov (n-)widths of compact sets from some classes of functions have been evaluated. In conclusion we adduce some numerical illustrations for 2-D Volterra equations.



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