Internality of truncated averaged Gaussian quadratures
Само за регистроване кориснике
2018
Конференцијски прилог (Објављена верзија)
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When moments or modi ed moments of the weight function are difficult to
compute, generalized averaged Gaussian quadratures can serve as good substitutes.
These formulas were introduced by Spalević [3], where it was demonstrated
that they may yield a smaller error compared to the Gauss quadrature
rules. However, generalized averaged Gaussian quadratures may have external
nodes. This would make them unusable when the domain of the integrand is
limited to the convex hull of the support of the weight function. In this paper
we investigate whether removing some of the last rows and columns of their
Jacobi matrices (cf. [2]) will produce quadrature rules with no external nodes.
The results that will be presented have been recently published in [1].
Кључне речи:
Truncated averaged Gaussian quadratures / InternalityИзвор:
Proceedings Book of MICOPAM2018 conference, 2018, 62-66Издавач:
- Department of Mathematics, Faculty of Science, Akdeniz University,Turkey
Финансирање / пројекти:
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Đukić, Dušan AU - Reichel, Lothar AU - Spalević, Miodrag PY - 2018 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6106 AB - When moments or modi ed moments of the weight function are difficult to compute, generalized averaged Gaussian quadratures can serve as good substitutes. These formulas were introduced by Spalević [3], where it was demonstrated that they may yield a smaller error compared to the Gauss quadrature rules. However, generalized averaged Gaussian quadratures may have external nodes. This would make them unusable when the domain of the integrand is limited to the convex hull of the support of the weight function. In this paper we investigate whether removing some of the last rows and columns of their Jacobi matrices (cf. [2]) will produce quadrature rules with no external nodes. The results that will be presented have been recently published in [1]. PB - Department of Mathematics, Faculty of Science, Akdeniz University,Turkey C3 - Proceedings Book of MICOPAM2018 conference T1 - Internality of truncated averaged Gaussian quadratures EP - 66 SP - 62 UR - https://hdl.handle.net/21.15107/rcub_machinery_6106 ER -
@conference{ author = "Đukić, Dušan and Reichel, Lothar and Spalević, Miodrag", year = "2018", abstract = "When moments or modi ed moments of the weight function are difficult to compute, generalized averaged Gaussian quadratures can serve as good substitutes. These formulas were introduced by Spalević [3], where it was demonstrated that they may yield a smaller error compared to the Gauss quadrature rules. However, generalized averaged Gaussian quadratures may have external nodes. This would make them unusable when the domain of the integrand is limited to the convex hull of the support of the weight function. In this paper we investigate whether removing some of the last rows and columns of their Jacobi matrices (cf. [2]) will produce quadrature rules with no external nodes. The results that will be presented have been recently published in [1].", publisher = "Department of Mathematics, Faculty of Science, Akdeniz University,Turkey", journal = "Proceedings Book of MICOPAM2018 conference", title = "Internality of truncated averaged Gaussian quadratures", pages = "66-62", url = "https://hdl.handle.net/21.15107/rcub_machinery_6106" }
Đukić, D., Reichel, L.,& Spalević, M.. (2018). Internality of truncated averaged Gaussian quadratures. in Proceedings Book of MICOPAM2018 conference Department of Mathematics, Faculty of Science, Akdeniz University,Turkey., 62-66. https://hdl.handle.net/21.15107/rcub_machinery_6106
Đukić D, Reichel L, Spalević M. Internality of truncated averaged Gaussian quadratures. in Proceedings Book of MICOPAM2018 conference. 2018;:62-66. https://hdl.handle.net/21.15107/rcub_machinery_6106 .
Đukić, Dušan, Reichel, Lothar, Spalević, Miodrag, "Internality of truncated averaged Gaussian quadratures" in Proceedings Book of MICOPAM2018 conference (2018):62-66, https://hdl.handle.net/21.15107/rcub_machinery_6106 .