Radau- and Lobatto-Type Averaged Gauss Rules
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 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 “stan- dard'' averaged Gauss rules available in the literature. This is the joint research with Lothar Reichel (Kent State University, U.S.)
Source:
Abstract Book of the ICOLES 2023, 6th INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES ANTALYA, TURKEY NOVEMBER 2-5, 2023, 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
https://icoles.net/wp-content/uploads/abstractsproceedings/abstract2023.pdfhttps://machinery.mas.bg.ac.rs/handle/123456789/7664
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Institution/Community
Mašinski fakultetTY - CONF AU - Spalević, Miodrag PY - 2023 UR - https://icoles.net/wp-content/uploads/abstractsproceedings/abstract2023.pdf UR - https://machinery.mas.bg.ac.rs/handle/123456789/7664 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 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 “stan- dard'' averaged Gauss rules available in the literature. This is the joint research with Lothar Reichel (Kent State University, U.S.) C3 - Abstract Book of the ICOLES 2023, 6th INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES ANTALYA, TURKEY NOVEMBER 2-5, 2023 T1 - Radau- and Lobatto-Type Averaged Gauss Rules UR - https://hdl.handle.net/21.15107/rcub_machinery_7664 ER -
@conference{ author = "Spalević, Miodrag", year = "2023", 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 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 “stan- dard'' averaged Gauss rules available in the literature. This is the joint research with Lothar Reichel (Kent State University, U.S.)", journal = "Abstract Book of the ICOLES 2023, 6th INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES ANTALYA, TURKEY NOVEMBER 2-5, 2023", title = "Radau- and Lobatto-Type Averaged Gauss Rules", url = "https://hdl.handle.net/21.15107/rcub_machinery_7664" }
Spalević, M.. (2023). Radau- and Lobatto-Type Averaged Gauss Rules. in Abstract Book of the ICOLES 2023, 6th INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES ANTALYA, TURKEY NOVEMBER 2-5, 2023. https://hdl.handle.net/21.15107/rcub_machinery_7664
Spalević M. Radau- and Lobatto-Type Averaged Gauss Rules. in Abstract Book of the ICOLES 2023, 6th INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES ANTALYA, TURKEY NOVEMBER 2-5, 2023. 2023;. https://hdl.handle.net/21.15107/rcub_machinery_7664 .
Spalević, Miodrag, "Radau- and Lobatto-Type Averaged Gauss Rules" in Abstract Book of the ICOLES 2023, 6th INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES ANTALYA, TURKEY NOVEMBER 2-5, 2023 (2023), https://hdl.handle.net/21.15107/rcub_machinery_7664 .