Radau- and Lobatto-type averaged Gauss rules
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2024
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We describe numerical methods for the construction of interpolatory quadrature rules of Radau and Lobatto types. In particular, we are interested in deriving efficient algorithms for computing optimal averaged Gauss–Radau and Gauss–Lobatto type javascript:undefined;quadrature rules. These averaged rules allow us to estimate the quadrature error in Gauss–Radau and Gauss–Lobatto quadrature rules. This is important since the latter rules have higher algebraic degree of exactness than the corresponding Gauss rules, and this makes it possible to construct averaged quadrature rules of higher algebraic degree of exactness than the corresponding “standard” averaged Gauss rules available in the literature.
Izvor:
Journal of Computational and Applied Mathematics, 2024, 437, Art 115477Izdavač:
- Elsevier
Finansiranje / projekti:
- Ministarstvo nauke, tehnološkog razvoja i inovacija Republike Srbije, institucionalno finansiranje - 200105 (Univerzitet u Beogradu, Mašinski fakultet) (RS-MESTD-inst-2020-200105)
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Institucija/grupa
Mašinski fakultetTY - JOUR AU - Reichel, Lothar AU - Spalević, Miodrag PY - 2024 UR - https://machinery.mas.bg.ac.rs/handle/123456789/7067 AB - We describe numerical methods for the construction of interpolatory quadrature rules of Radau and Lobatto types. In particular, we are interested in deriving efficient algorithms for computing optimal averaged Gauss–Radau and Gauss–Lobatto type javascript:undefined;quadrature rules. These averaged rules allow us to estimate the quadrature error in Gauss–Radau and Gauss–Lobatto quadrature rules. This is important since the latter rules have higher algebraic degree of exactness than the corresponding Gauss rules, and this makes it possible to construct averaged quadrature rules of higher algebraic degree of exactness than the corresponding “standard” averaged Gauss rules available in the literature. PB - Elsevier T2 - Journal of Computational and Applied Mathematics T1 - Radau- and Lobatto-type averaged Gauss rules IS - Art 115477 VL - 437 DO - 10.1016/j.cam.2023.115475 ER -
@article{ author = "Reichel, Lothar and Spalević, Miodrag", year = "2024", abstract = "We describe numerical methods for the construction of interpolatory quadrature rules of Radau and Lobatto types. In particular, we are interested in deriving efficient algorithms for computing optimal averaged Gauss–Radau and Gauss–Lobatto type javascript:undefined;quadrature rules. These averaged rules allow us to estimate the quadrature error in Gauss–Radau and Gauss–Lobatto quadrature rules. This is important since the latter rules have higher algebraic degree of exactness than the corresponding Gauss rules, and this makes it possible to construct averaged quadrature rules of higher algebraic degree of exactness than the corresponding “standard” averaged Gauss rules available in the literature.", publisher = "Elsevier", journal = "Journal of Computational and Applied Mathematics", title = "Radau- and Lobatto-type averaged Gauss rules", number = "Art 115477", volume = "437", doi = "10.1016/j.cam.2023.115475" }
Reichel, L.,& Spalević, M.. (2024). Radau- and Lobatto-type averaged Gauss rules. in Journal of Computational and Applied Mathematics Elsevier., 437(Art 115477). https://doi.org/10.1016/j.cam.2023.115475
Reichel L, Spalević M. Radau- and Lobatto-type averaged Gauss rules. in Journal of Computational and Applied Mathematics. 2024;437(Art 115477). doi:10.1016/j.cam.2023.115475 .
Reichel, Lothar, Spalević, Miodrag, "Radau- and Lobatto-type averaged Gauss rules" in Journal of Computational and Applied Mathematics, 437, no. Art 115477 (2024), https://doi.org/10.1016/j.cam.2023.115475 . .