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

Authors: Khokhlachev V.S.¹, Tintul M.A.¹, Belov A.A.¹^,2
Affiliations:
1. Lomonosov Moscow State University
2. Peoples’ Friendship University of Russia
Issue: Vol 88, No 2 (2024)
Pages: 259-263
Section: Wave Phenomena: Physics and Applications
URL: https://ruspoj.com/0367-6765/article/view/654760
DOI: https://doi.org/10.31857/S0367676524020162
EDN: https://elibrary.ru/RRDWNS
ID: 654760

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription or Fee Access

Abstract

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.

Full Text

About the authors

V. S. Khokhlachev

Lomonosov Moscow State University

Email: maksim.tintul@mail.ru
Russian Federation, Moscow

M. A. Tintul

Lomonosov Moscow State University

Author for correspondence.
Email: maksim.tintul@mail.ru
Russian Federation, Moscow

A. A. Belov

Lomonosov Moscow State University; Peoples’ Friendship University of Russia

Email: maksim.tintul@mail.ru
Russian Federation, Moscow; Moscow

References

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.