Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii
Abstract
The paper deals with new contributions to the theory of the Gauss quadrature formulas with multiple nodes that are published after 2001, including numerical construction, error analysis and applications. The first part was published in Numerical analysis 2000, Vol. V, Quadrature and orthogonal polynomials (W. Gautschi, F. Marcellan, and L. Reichel, eds.) [J. Comput. Appl. Math. 127 (2001), no. 1-2, 267-286].
Keywords:
Weights / Spline function / Spline defect / s- and sigma-orthogonal polynomials / Quadratures with multiple nodes / Nodes / Gauss-Turan quadrature rules / Degree of precision / Chebyshev polynomialsSource:
Applicable Analysis and Discrete Mathematics, 2019, 13, 1, 1-27Publisher:
- Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd
Funding / projects:
- Serbian Academy of Sciences and Arts [Phi-96]
- Ministry of Science and Technology of R. Srpska
- Methods of Numerical and Nonlinear Analysis with Applications (RS-MESTD-Basic Research (BR or ON)-174002)
- Approximation of integral and differential operators and applications (RS-MESTD-Basic Research (BR or ON)-174015)
DOI: 10.2298/AADM180730018M
ISSN: 1452-8630
WoS: 000465282900001
Scopus: 2-s2.0-85065525022
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Milovanović, Gradimir V. AU - Pranić, Miroslav S. AU - Spalević, Miodrag PY - 2019 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3083 AB - The paper deals with new contributions to the theory of the Gauss quadrature formulas with multiple nodes that are published after 2001, including numerical construction, error analysis and applications. The first part was published in Numerical analysis 2000, Vol. V, Quadrature and orthogonal polynomials (W. Gautschi, F. Marcellan, and L. Reichel, eds.) [J. Comput. Appl. Math. 127 (2001), no. 1-2, 267-286]. PB - Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd T2 - Applicable Analysis and Discrete Mathematics T1 - Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii EP - 27 IS - 1 SP - 1 VL - 13 DO - 10.2298/AADM180730018M ER -
@article{ author = "Milovanović, Gradimir V. and Pranić, Miroslav S. and Spalević, Miodrag", year = "2019", abstract = "The paper deals with new contributions to the theory of the Gauss quadrature formulas with multiple nodes that are published after 2001, including numerical construction, error analysis and applications. The first part was published in Numerical analysis 2000, Vol. V, Quadrature and orthogonal polynomials (W. Gautschi, F. Marcellan, and L. Reichel, eds.) [J. Comput. Appl. Math. 127 (2001), no. 1-2, 267-286].", publisher = "Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd", journal = "Applicable Analysis and Discrete Mathematics", title = "Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii", pages = "27-1", number = "1", volume = "13", doi = "10.2298/AADM180730018M" }
Milovanović, G. V., Pranić, M. S.,& Spalević, M.. (2019). Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii. in Applicable Analysis and Discrete Mathematics Univerzitet u Beogradu - Elektrotehnički fakultet, Beograd i Akademska misao, Beograd., 13(1), 1-27. https://doi.org/10.2298/AADM180730018M
Milovanović GV, Pranić MS, Spalević M. Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii. in Applicable Analysis and Discrete Mathematics. 2019;13(1):1-27. doi:10.2298/AADM180730018M .
Milovanović, Gradimir V., Pranić, Miroslav S., Spalević, Miodrag, "Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part ii" in Applicable Analysis and Discrete Mathematics, 13, no. 1 (2019):1-27, https://doi.org/10.2298/AADM180730018M . .