Article 1112

Title of the article

OPTIMAL METHODS OF MULTIDIMENSIONAL HYPER SINGULAR INTEGRAL EVALUATION

Authors

Boykov Ilya Vladimirovich, Doctor of physical and mathematical sciences, professor, head of sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru
Zakharova Yuliya Fridrikhovna, Candidate of physical and mathematical sciences, associate professor, sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru

Index UDK

517.392

Abstract

The authors suggest a method of lower estimate of calculation error of mul-tidimensional hypersingular integrals by cubature formulas, applying N nodes of a subintegral function. The estimations has been obtained for arbitrary class of the function ψ , integrated in the sense of Hadamard. For the range of function classes the authors have built cubatury formulas, optimal in order and accuracy.

Key words

multidimensional hypersingular integrals, cubatury formulas, accuracy-optimal algorithms.

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Дата создания: 17.07.2014 07:03
Дата обновления: 17.07.2014 09:11