Computation of pairs of related Gauss-type quadrature rules
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Alqahtani, HBorges, C,F,
Đukić, Dušan
Mutavdžić Đukić, Rada
Reichel, Lothar
Spalević, Miodrag
Article (Published version)
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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 ruleSource:
Applied Numerical Mathematics, 2024Publisher:
- 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)
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https://www.sciencedirect.com/science/article/abs/pii/S0168927424000515https://machinery.mas.bg.ac.rs/handle/123456789/7800
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Mašinski fakultetTY - 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 . .
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