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://rjpbr.com/0367-6765/article/view/654760
DOI: https://doi.org/10.31857/S0367676524020162
EDN: https://elibrary.ru/RRDWNS
ID: 654760

Citar

Texto integral

Acesso aberto
Acesso é fechado

Acesso está concedido
Acesso é fechado

Acesso é pago ou somente para assinantes

Resumo
Texto integral
Sobre autores
Bibliografia
Arquivos suplementares
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.

Texto integral

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

Калиткин Н.Н., Альшина Е.А. Численные методы. Т. 1. Численный анализ. М.: Академия, 2013.
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.