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Статья
2016

On a method of calculation of hypersingular integrals


I. V. BoikovI. V. Boikov, M. A. SyomovM. A. Syomov
Русская математика
https://doi.org/10.3103/S1066369X16030014
Abstract / Full Text

We propose a method for calculation of one-dimensional and two-dimensional hypersingular integrals, which allows to obtain a solution in the analytic form in a series of cases. Based on this method, we construct an approximate method for calculation of one-dimensional and twodimensional hypersingular integrals having singularities on rather complicated manifolds. We give estimates of errors of suggested algorithms.

Author information
  • Penza State University, ul. Krasnaya 40, Penza, 440026, RussiaI. V. Boikov & M. A. Syomov
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