A quadrature rule of Lobatto-Gaussian for numerical integration of analytic functions
| Autor: | Sanjit Kumar Mohanty, Rajani Ballav Dash |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Control and Optimization
Algebra and Number Theory Applied Mathematics Gaussian 0211 other engineering and technologies 020101 civil engineering 02 engineering and technology 0201 civil engineering Numerical integration symbols.namesake Asymptotic error 021105 building & construction symbols Applied mathematics Gaussian quadrature Point (geometry) Mathematics Analytic function |
| Zdroj: | Numerical Algebra, Control and Optimization. 12:705 |
| ISSN: | 2155-3297 2155-3289 |
| DOI: | 10.3934/naco.2021031 |
| Popis: | A novel quadrature rule is formed combining Lobatto six point transformed rule and Gauss-Legendre five point transformed rule each having precision nine. The mixed rule so formed is of precision eleven. Through asymptotic error estimation the novelty of the quadrature rule is justified. Some test integrals have been evaluated using the mixed rule and its constituents both in non-adaptive and adaptive modes. The results are found to be quite encouraging for the mixed rule which is in conformation with the theoretical prediction. |
| Databáze: | OpenAIRE |
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