On minimal cubature formulae for product weight functions
| Autor: | Borislav Bojanov, Guergana Petrova |
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| Jazyk: | angličtina |
| Předmět: |
Pure mathematics
Applied Mathematics Numerical analysis Mathematical analysis Lagrange polynomial Lagrange interpolation Expression (computer science) Minimal and near-minimal cubature formulae Polynomial interpolation Numerical integration Mathematics::Numerical Analysis Computational Mathematics symbols.namesake Corollary Simple (abstract algebra) Product (mathematics) symbols Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. (1):113-121 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/S0377-0427(97)00133-7 |
| Popis: | We derive in a simple way certain minimal cubature formulae, obtained by Morrow and Patterson [2], and Xu [4], using a different technique. We also obtain in explicit form new near minimal cubature formulae. Then, as a corollary, we get a compact expression for the bivariate Lagrange interpolation polynomials, based on the nodes of the cubature. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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