KFU. Card publication. Quadrature formulas for calculating the hadamard integral of a special form

KAZAN
FEDERAL UNIVERSITY

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QUADRATURE FORMULAS FOR CALCULATING THE HADAMARD INTEGRAL OF A SPECIAL FORM

Form of presentation

Articles in international journals and collections

Year of publication

2017

Язык

английский

Authors, employees of KFU

Voroncova Valeriya Leonidovna, author

Bibliographic description in the original language

Galimyanov, A.F., Vorontsova, V.L., Gilemzyanov, A.F., Gorskay, T.Y. Quadrature formulas for calculating the hadamard integral of a special form.International journal of Pharmacy and Technology. -Vol.6,Is.4,- P. 24169- 24181.

Annotation

Currently, the issues related to finding solutions to some economic problems, such as problems pertaining to the queuing systems are of great interest. These problems, in turn, result in, inter alia, the need to calculate the Hadamard integrals of a special form. The study includes the construction of an optimal quadrature formula for the approximate solution to the Hadamard integral of a special form; such formula is selected depending on the singularities of integrals. This is because of the fact that an error of the quadrature formula for a hypersingular integral is a point function of any singularity. There is a movable singularity, when parameters of the quadrature formula do not depend on the singularity's position, and a fixed singularity, when the quadrature formula nodes are the singularity's point functions. In this way, choice of the quadrature formula nodes depends on the choice of singularities.

Keywords

Hadamard integrals; Optimization; Quadrature formulas

The name of the journal

International journal of Pharmacy and Technology

URL

https://www.scopus.com/record/display.uri?eid=2-s2.0-85018209300&origin=SingleRecordEmailAlert&dgcid=scalert_sc_search_email&txGid=B55D7AE4F4EB9D62575504C00BA5ADAD.wsnAw8kcdt7IPYLO0V48gA%3a6

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=157458&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Voroncova Valeriya Leonidovna	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Galimyanov, A.F., Vorontsova, V.L., Gilemzyanov, A.F., Gorskay, T.Y. Quadrature formulas for calculating the hadamard integral of a special form.International journal of Pharmacy and Technology. -Vol.6,Is.4,- P. 24169- 24181.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=157458&p_lang=2	ru_RU
dc.description.abstract	International journal of Pharmacy and Technology	ru_RU
dc.description.abstract	Currently, the issues related to finding solutions to some economic problems, such as problems pertaining to the queuing systems are of great interest. These problems, in turn, result in, inter alia, the need to calculate the Hadamard integrals of a special form. The study includes the construction of an optimal quadrature formula for the approximate solution to the Hadamard integral of a special form; such formula is selected depending on the singularities of integrals. This is because of the fact that an error of the quadrature formula for a hypersingular integral is a point function of any singularity. There is a movable singularity, when parameters of the quadrature formula do not depend on the singularity's position, and a fixed singularity, when the quadrature formula nodes are the singularity's point functions. In this way, choice of the quadrature formula nodes depends on the choice of singularities.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Quadrature formulas for calculating the hadamard integral of a special form	ru_RU
dc.type	Articles in international journals and collections	ru_RU