Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind
Само за регистроване кориснике
2019
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Generalized averaged Gaussian quadrature rules associated with some measure, and truncated variants of these rules, can be used to estimate the error in Gaussian quadrature rules. However, the former quadrature rules may have nodes outside the interval of integration and, therefore, it may not be possible to apply them when the integrand is defined on the interval of integration only. This paper investigates whether generalized averaged Gaussian quadrature rules associated with modified Chebyshev measures of the second kind, and truncated variants of these rules, are internal, i.e. if all nodes of these quadrature rules are in the interval of integration.
Кључне речи:
Truncated generalized averaged Gauss quadrature / Modified Chebyshev measure of the second kind / Internality of the quadrature / Gauss quadrature / Averaged Gauss quadratureИзвор:
Journal of Computational and Applied Mathematics, 2019, 345, 70-85Издавач:
- Elsevier Science Bv, Amsterdam
Финансирање / пројекти:
- Методе нумеричке и нелинеарне анализе са применама (RS-MESTD-Basic Research (BR or ON)-174002)
- NSF, USA [DMS-1720259, DMS-1729509]
DOI: 10.1016/j.cam.2018.06.017
ISSN: 0377-0427
WoS: 000447084300006
Scopus: 2-s2.0-85049329830
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Đukić, Dušan AU - Reichel, Lothar AU - Spalević, Miodrag AU - Tomanović, Jelena PY - 2019 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3078 AB - Generalized averaged Gaussian quadrature rules associated with some measure, and truncated variants of these rules, can be used to estimate the error in Gaussian quadrature rules. However, the former quadrature rules may have nodes outside the interval of integration and, therefore, it may not be possible to apply them when the integrand is defined on the interval of integration only. This paper investigates whether generalized averaged Gaussian quadrature rules associated with modified Chebyshev measures of the second kind, and truncated variants of these rules, are internal, i.e. if all nodes of these quadrature rules are in the interval of integration. PB - Elsevier Science Bv, Amsterdam T2 - Journal of Computational and Applied Mathematics T1 - Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind EP - 85 SP - 70 VL - 345 DO - 10.1016/j.cam.2018.06.017 ER -
@article{ author = "Đukić, Dušan and Reichel, Lothar and Spalević, Miodrag and Tomanović, Jelena", year = "2019", abstract = "Generalized averaged Gaussian quadrature rules associated with some measure, and truncated variants of these rules, can be used to estimate the error in Gaussian quadrature rules. However, the former quadrature rules may have nodes outside the interval of integration and, therefore, it may not be possible to apply them when the integrand is defined on the interval of integration only. This paper investigates whether generalized averaged Gaussian quadrature rules associated with modified Chebyshev measures of the second kind, and truncated variants of these rules, are internal, i.e. if all nodes of these quadrature rules are in the interval of integration.", publisher = "Elsevier Science Bv, Amsterdam", journal = "Journal of Computational and Applied Mathematics", title = "Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind", pages = "85-70", volume = "345", doi = "10.1016/j.cam.2018.06.017" }
Đukić, D., Reichel, L., Spalević, M.,& Tomanović, J.. (2019). Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind. in Journal of Computational and Applied Mathematics Elsevier Science Bv, Amsterdam., 345, 70-85. https://doi.org/10.1016/j.cam.2018.06.017
Đukić D, Reichel L, Spalević M, Tomanović J. Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind. in Journal of Computational and Applied Mathematics. 2019;345:70-85. doi:10.1016/j.cam.2018.06.017 .
Đukić, Dušan, Reichel, Lothar, Spalević, Miodrag, Tomanović, Jelena, "Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind" in Journal of Computational and Applied Mathematics, 345 (2019):70-85, https://doi.org/10.1016/j.cam.2018.06.017 . .
Related items
Showing items related by title, author, creator and subject.
-
The error bounds of Gauss quadrature formula for the modified weight functions of Chebyshev type / The error bounds of Gauss quadrature formula for the modified weight functions of Chebyshev type
Orive, Ramon; Pejčev, Aleksandar; Spalević, Miodrag (Faculty of Mechanical Engineering, University of Belgrade, 2022) -
Error estimates for Gaussian quadratures of analytic functions
Milovanović, Gradimir V.; Spalević, Miodrag; Pranić, Miroslav S. (Elsevier Science Bv, Amsterdam, 2009) -
Error Bounds for Some Quadrature Rules With Maximal Trigonometric Degree of Exactness
Stanić, Marija P.; Cvetković, Aleksandar; Tomović, Tatjana V. (Amer Inst Physics, Melville, 2012)