Precision computation of one-dimensional quadratures

V. S. Khokhlachev; Хохлачев В. С.; M. A. Tintul; Тинтул М. А.; A. A. Belov; Белов А. А.

doi:10.31857/S0367676524020162

Precision computation of one-dimensional quadratures

Autores: Khokhlachev V.S.¹, Tintul M.A.¹, Belov A.A.¹^,2
Afiliações:
1. Lomonosov Moscow State University
2. Peoples’ Friendship University of Russia
Edição: Volume 88, Nº 2 (2024)
Páginas: 259-263
Seção: Wave Phenomena: Physics and Applications
URL: https://edgccjournal.org/0367-6765/article/view/654760
DOI: https://doi.org/10.31857/S0367676524020162
EDN: https://elibrary.ru/RRDWNS
ID: 654760

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Somente assinantes

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Sobre autores
Bibliografia
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Estatísticas

Resumo

The calculation of quadratures arises in many physical and technical applications. In this paper, the best quadrature formulas are selected and their quantitative comparison is carried out on a number of representative examples.

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Sobre autores

V. Khokhlachev

Lomonosov Moscow State University

Email: maksim.tintul@mail.ru
Rússia, Moscow

M. Tintul

Lomonosov Moscow State University

Autor responsável pela correspondência
Email: maksim.tintul@mail.ru
Rússia, Moscow

A. Belov

Lomonosov Moscow State University; Peoples’ Friendship University of Russia

Email: maksim.tintul@mail.ru
Rússia, Moscow; Moscow

Bibliografia

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Гельфанд И.М., Фролов А.С., Ченцов Н.Н. // Изв. вузов. Сер. матем. № 5 (6). Т. 1958. С. 32.
Белов А.А. // Матем. моделир. 2013. Т. 25. № 6. С. 72; Belov A.A. // Math. Model. Comput. Simulation. 2013. V. 25. No. 6. P. 46.
Лебедев В.И, Бабурин О.В. // Журн. вычисл. мат. и мат. физ. 1965. Т. 5. № 3. С. 454.
Golub G.H., Welsch J.H. // Math. Comput. 1969. V. 23. No. 106. P. 221.
https://github.com/ABelov91/GaussKristoffel.
Хохлачев В.С., Белов А.А. // Изв. РАН. Сер. физ. 2022. Т. 86. № 7. С. 1032; Khokhlachev V.S., Belov A.A. // Bull. Russ. Acad. Sci. Phys. 2022. V. 86. No. 7. P. 861.
Belov A.A., Khokhlachev V.S. // Comput. Math. Math. Phys. 2024. V. 64. No. 1. P. 1.
Тинтул М.А., Хохлачев В.С., Белов А.А. // Изв. РАН. Сер. физ. 2022. Т. 86. № 11. С. 1621; Tintul M.A., Khokhlachev V.S., Belov A.A. // Bull. Russ. Acad. Sci. Phys. 2022. V. 86. No. 11. P. 1350.