Numerical Computation of Generalized Averaged Gaussian and AntiGauss Quadrature Rules
Abstract
Gauss-Kronrod quadrature rules (named the quadratures of the 20th century) have been developing in the last 60 years in order to solve the question of efficient estimating the error of the Gauss quadrature formula. Anti-Gauss and the generalized averaged Gaussian quadrature rules, as well as their Radau and Lobatto extensions, are introduced lately as alternatives to the Gauss-Kronrod. We present here a survey of the results on their stable numerical calculation.
Source:
6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS, 2023Funding / 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)
URI
http://www.ic-mrs.org/ chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/http://www.ic-mrs.org/files/abstracts-2023.pdfhttps://machinery.mas.bg.ac.rs/handle/123456789/7661
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Spalević, Miodrag PY - 2023 UR - http://www.ic-mrs.org/ chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/http://www.ic-mrs.org/files/abstracts-2023.pdf UR - https://machinery.mas.bg.ac.rs/handle/123456789/7661 AB - Gauss-Kronrod quadrature rules (named the quadratures of the 20th century) have been developing in the last 60 years in order to solve the question of efficient estimating the error of the Gauss quadrature formula. Anti-Gauss and the generalized averaged Gaussian quadrature rules, as well as their Radau and Lobatto extensions, are introduced lately as alternatives to the Gauss-Kronrod. We present here a survey of the results on their stable numerical calculation. C3 - 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS T1 - Numerical Computation of Generalized Averaged Gaussian and AntiGauss Quadrature Rules UR - https://hdl.handle.net/21.15107/rcub_machinery_7661 ER -
@conference{ author = "Spalević, Miodrag", year = "2023", abstract = "Gauss-Kronrod quadrature rules (named the quadratures of the 20th century) have been developing in the last 60 years in order to solve the question of efficient estimating the error of the Gauss quadrature formula. Anti-Gauss and the generalized averaged Gaussian quadrature rules, as well as their Radau and Lobatto extensions, are introduced lately as alternatives to the Gauss-Kronrod. We present here a survey of the results on their stable numerical calculation.", journal = "6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS", title = "Numerical Computation of Generalized Averaged Gaussian and AntiGauss Quadrature Rules", url = "https://hdl.handle.net/21.15107/rcub_machinery_7661" }
Spalević, M.. (2023). Numerical Computation of Generalized Averaged Gaussian and AntiGauss Quadrature Rules. in 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS. https://hdl.handle.net/21.15107/rcub_machinery_7661
Spalević M. Numerical Computation of Generalized Averaged Gaussian and AntiGauss Quadrature Rules. in 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS. 2023;. https://hdl.handle.net/21.15107/rcub_machinery_7661 .
Spalević, Miodrag, "Numerical Computation of Generalized Averaged Gaussian and AntiGauss Quadrature Rules" in 6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES BOOK OF ABSTRACTS (2023), https://hdl.handle.net/21.15107/rcub_machinery_7661 .