Internality of Averaged Gaussian Quadrature Rules
Apstrakt
The averaged and optimal averaged quadrature rules provide a convenient method of approximating the error in the Gauss quadrature. However, they are fully applicable only if their nodes are internal. We discuss two approaches to determine averaged quadrature rules with internal nodes: (i) truncating the Jacobi matrix associated with the optimal averaged rule, and (ii) weighting the optimal averaged quadrature rule. A survey of our results on internality of averaged Gaussian quadrature rules will be presented.
Izvor:
6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS, 2023Finansiranje / projekti:
- Ministarstvo nauke, tehnološkog razvoja i inovacija Republike Srbije, institucionalno finansiranje - 200105 (Univerzitet u Beogradu, Mašinski fakultet) (RS-MESTD-inst-2020-200105)
Kolekcije
Institucija/grupa
Mašinski fakultetTY - CONF AU - Đukić, Dušan AU - Mutavdžić Đukić, Rada AU - Reichel, Lothar AU - Spalević, Miodrag PY - 2023 UR - http://www.ic-mrs.org/ UR - https://machinery.mas.bg.ac.rs/handle/123456789/7662 AB - The averaged and optimal averaged quadrature rules provide a convenient method of approximating the error in the Gauss quadrature. However, they are fully applicable only if their nodes are internal. We discuss two approaches to determine averaged quadrature rules with internal nodes: (i) truncating the Jacobi matrix associated with the optimal averaged rule, and (ii) weighting the optimal averaged quadrature rule. A survey of our results on internality of averaged Gaussian quadrature rules will be presented. C3 - 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS T1 - Internality of Averaged Gaussian Quadrature Rules UR - https://hdl.handle.net/21.15107/rcub_machinery_7662 ER -
@conference{ author = "Đukić, Dušan and Mutavdžić Đukić, Rada and Reichel, Lothar and Spalević, Miodrag", year = "2023", abstract = "The averaged and optimal averaged quadrature rules provide a convenient method of approximating the error in the Gauss quadrature. However, they are fully applicable only if their nodes are internal. We discuss two approaches to determine averaged quadrature rules with internal nodes: (i) truncating the Jacobi matrix associated with the optimal averaged rule, and (ii) weighting the optimal averaged quadrature rule. A survey of our results on internality of averaged Gaussian quadrature rules will be presented.", journal = "6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS", title = "Internality of Averaged Gaussian Quadrature Rules", url = "https://hdl.handle.net/21.15107/rcub_machinery_7662" }
Đukić, D., Mutavdžić Đukić, R., Reichel, L.,& Spalević, M.. (2023). Internality of Averaged Gaussian Quadrature Rules. in 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS. https://hdl.handle.net/21.15107/rcub_machinery_7662
Đukić D, Mutavdžić Đukić R, Reichel L, Spalević M. Internality of Averaged Gaussian Quadrature Rules. in 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS. 2023;. https://hdl.handle.net/21.15107/rcub_machinery_7662 .
Đukić, Dušan, Mutavdžić Đukić, Rada, Reichel, Lothar, Spalević, Miodrag, "Internality of Averaged Gaussian Quadrature Rules" in 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS (2023), https://hdl.handle.net/21.15107/rcub_machinery_7662 .