Computation of pairs of related Gauss-type quadrature rules

Alqahtani, H; Borges, C,F,; Đukić, Dušan; Mutavdžić Đukić, Rada; Reichel, Lothar; Spalević, Miodrag

doi:10.1016/j.apnum.2024.03.003

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Authors

Alqahtani, H
Borges, C,F,
Đukić, Dušan

Mutavdžić Đukić, Rada

Reichel, Lothar
Spalević, Miodrag

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Abstract

The evaluation of Gauss-type quadrature rules is an important topic in scientific computing. To determine estimates or bounds for the quadrature error of a Gauss rule often another related quadrature rule is evaluated, such as an associated Gauss-Radau or Gauss-Lobatto rule, an anti-Gauss rule, an averaged rule, an optimal averaged rule, or a Gauss-Kronrod rule when the latter exists. We discuss how pairs of a Gauss rule and a related Gauss-type quadrature rule can be computed efficiently by a divide-and-conquer method.

Keywords:

Divide-and-conquer method / Gauss rule / Gauss-Radau rule / Gauss-Lobatto rule / Averaged Gauss rule / Optimal averaged Gauss rule

Source:
Applied Numerical Mathematics, 2024

Publisher:

Elsevier

Funding / projects:

Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200105 (University of Belgrade, Faculty of Mechanical Engineering) (RS-MESTD-inst-2020-200105)

DOI: 10.1016/j.apnum.2024.03.003

TY  - JOUR
AU  - Alqahtani, H
AU  - Borges, C,F,
AU  - Đukić, Dušan
AU  - Mutavdžić Đukić, Rada
AU  - Reichel, Lothar
AU  - Spalević, Miodrag
PY  - 2024
UR  - https://www.sciencedirect.com/science/article/abs/pii/S0168927424000515
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/7800
AB  - The evaluation of Gauss-type quadrature rules is an important topic in scientific computing. To determine estimates or bounds for the quadrature error of a Gauss rule often another related quadrature rule is evaluated, such as an associated Gauss-Radau or Gauss-Lobatto rule, an anti-Gauss rule, an averaged rule, an optimal averaged rule, or a Gauss-Kronrod rule when the latter exists. We discuss how pairs of a Gauss rule and a related Gauss-type quadrature rule can be computed efficiently by a divide-and-conquer method.
PB  - Elsevier
T2  - Applied Numerical Mathematics
T1  - Computation of pairs of related Gauss-type quadrature rules
DO  - 10.1016/j.apnum.2024.03.003
ER  -

@article{
author = "Alqahtani, H and Borges, C,F, and Đukić, Dušan and Mutavdžić Đukić, Rada and Reichel, Lothar and Spalević, Miodrag",
year = "2024",
abstract = "The evaluation of Gauss-type quadrature rules is an important topic in scientific computing. To determine estimates or bounds for the quadrature error of a Gauss rule often another related quadrature rule is evaluated, such as an associated Gauss-Radau or Gauss-Lobatto rule, an anti-Gauss rule, an averaged rule, an optimal averaged rule, or a Gauss-Kronrod rule when the latter exists. We discuss how pairs of a Gauss rule and a related Gauss-type quadrature rule can be computed efficiently by a divide-and-conquer method.",
publisher = "Elsevier",
journal = "Applied Numerical Mathematics",
title = "Computation of pairs of related Gauss-type quadrature rules",
doi = "10.1016/j.apnum.2024.03.003"
}

Alqahtani, H., Borges, C., Đukić, D., Mutavdžić Đukić, R., Reichel, L.,& Spalević, M.. (2024). Computation of pairs of related Gauss-type quadrature rules. in Applied Numerical Mathematics
Elsevier..
https://doi.org/10.1016/j.apnum.2024.03.003

Alqahtani H, Borges C, Đukić D, Mutavdžić Đukić R, Reichel L, Spalević M. Computation of pairs of related Gauss-type quadrature rules. in Applied Numerical Mathematics. 2024;.
doi:10.1016/j.apnum.2024.03.003 .

Alqahtani, H, Borges, C,F,, Đukić, Dušan, Mutavdžić Đukić, Rada, Reichel, Lothar, Spalević, Miodrag, "Computation of pairs of related Gauss-type quadrature rules" in Applied Numerical Mathematics (2024),
https://doi.org/10.1016/j.apnum.2024.03.003 . .