Numerical methods of computation of singular and hypersingular integrals
In solving numerous problems in mathematics, mechanics, physics, and technology one is faced with necessity of calculating different singular integrals. In analytical form calculation of singular integrals is possible only in unusual cases. Therefore approximate methods of singular integrals calcula...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010924 |
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| _version_ | 1832562442977148928 |
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| author | I. V. Boikov |
| author_facet | I. V. Boikov |
| author_sort | I. V. Boikov |
| collection | DOAJ |
| description | In solving numerous problems in mathematics, mechanics, physics,
and technology one is faced with necessity of calculating different singular integrals. In analytical form calculation of singular integrals is possible only in unusual cases. Therefore approximate methods of singular integrals calculation are an active developing direction of computing in mathematics. This review is devoted to the optimal with respect to accuracy algorithms of the calculation of singular integrals with fixed singularity, Cauchy and Hilbert kernels, polysingular and many-dimensional singular integrals. The isolated section is devoted to the optimal with respect to accuracy algorithms of the calculation of the hypersingular integrals. |
| format | Article |
| id | doaj-art-0b495c3f9d1640a0915ef02708ca429d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0b495c3f9d1640a0915ef02708ca429d2025-02-03T01:22:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128312717910.1155/S0161171201010924Numerical methods of computation of singular and hypersingular integralsI. V. Boikov0Penza State University, Krasnay Street, 40, Penza 440017, RussiaIn solving numerous problems in mathematics, mechanics, physics, and technology one is faced with necessity of calculating different singular integrals. In analytical form calculation of singular integrals is possible only in unusual cases. Therefore approximate methods of singular integrals calculation are an active developing direction of computing in mathematics. This review is devoted to the optimal with respect to accuracy algorithms of the calculation of singular integrals with fixed singularity, Cauchy and Hilbert kernels, polysingular and many-dimensional singular integrals. The isolated section is devoted to the optimal with respect to accuracy algorithms of the calculation of the hypersingular integrals.http://dx.doi.org/10.1155/S0161171201010924 |
| spellingShingle | I. V. Boikov Numerical methods of computation of singular and hypersingular integrals International Journal of Mathematics and Mathematical Sciences |
| title | Numerical methods of computation of singular and hypersingular integrals |
| title_full | Numerical methods of computation of singular and hypersingular integrals |
| title_fullStr | Numerical methods of computation of singular and hypersingular integrals |
| title_full_unstemmed | Numerical methods of computation of singular and hypersingular integrals |
| title_short | Numerical methods of computation of singular and hypersingular integrals |
| title_sort | numerical methods of computation of singular and hypersingular integrals |
| url | http://dx.doi.org/10.1155/S0161171201010924 |
| work_keys_str_mv | AT ivboikov numericalmethodsofcomputationofsingularandhypersingularintegrals |