Errors of Gauss-Radau and Gauss-Lobatto quadratures with double end point
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Published:2019
Issue:2
Volume:13
Page:463-477
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ISSN:1452-8630
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Container-title:Applicable Analysis and Discrete Mathematics
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language:en
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Short-container-title:APPL ANAL DISCRETE M
Author:
Pejcev Aleksandar1,
Mihic Ljubica2
Affiliation:
1. Faculty of mechanical engineering, Belgrade
2. Faculty of information technology and engineering, University Union - Nikola Tesla, Belgrade
Abstract
Starting from the explicit expression of the corresponding kernels, derived by Gautschi and Li (W. Gautschi, S. Li: The remainder term for analytic functions of Gauss-Lobatto and Gauss-Radau quadrature rules with multiple end points, J. Comput. Appl. Math. 33 (1990) 315{329), we determine the exact dimensions of the minimal ellipses on which the modulus of the kernel starts to behave in the described way. The effective error bounds for Gauss- Radau and Gauss-Lobatto quadrature formulas with double end point(s) are derived. The comparisons are made with the actual errors.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
1 articles.
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