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University proceedings. Volga region. Physical and mathematical sciences, 2012, Issue 1, Pages 3–21
(Mi ivpnz504)
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Mathematics
Optimal methods for calculating multidimensional hypersingular integrals
I. V. Boykov, J. F. Zakharova Penza State University, Penza
Abstract:
The authors suggest a method of lower estimate of calculation error of multidimensional hypersingular integrals by cubature formulas, applying N nodes of a subintegral function. The estimations has been obtained for arbitrary class of the function $\Psi$, integrated in the sense of Hadamard. For the range of function classes the authors have built cubatury formulas, optimal in order and accuracy.
Keywords:
multidimensional hypersingular integrals, cubatury formulas, accuracy-optimal algorithms.
Citation:
I. V. Boykov, J. F. Zakharova, “Optimal methods for calculating multidimensional hypersingular integrals”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 1, 3–21
Linking options:
https://www.mathnet.ru/eng/ivpnz504 https://www.mathnet.ru/eng/ivpnz/y2012/i1/p3
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Abstract page: | 22 | Full-text PDF : | 7 | References: | 9 |
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