Geodesic
On a~method of calculation of hypersingular integrals
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 3-17

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We propose an analytic method for calculation of one-dimensional and two-dimensional hypersingular integrals. Based on this method, we construct approximate method for calculation of one-dimensional and two-dimensional hypersingular integrals having singularities on rather complicated manifolds. We give estimates of errors of suggested algorithms.
Keywords: hypersingular integrals, cubature formulas.
Mots-clés : quadrature formulas 
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     author = {I. V. Boikov and M. A. Semov},
     title = {On a~method of calculation of hypersingular integrals},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     number = {3},
     year = {2016},
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}
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I. V. Boikov; M. A. Semov. On a~method of calculation of hypersingular integrals. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2016), pp. 3-17. http://geodesic.mathdoc.fr/item/IVM_2016_3_a0/