Truncated generalized averaged Gauss quadrature rules
Апстракт
Generalized averaged Gaussian quadrature formulas may yield higher accuracy than Gauss quadrature formulas that use the same moment information. This makes them attractive to use when moments or modified moments are cumbersome to evaluate. However, generalized averaged Gaussian quadrature formulas may have nodes outside the convex hull of the support of the measure defining the associated Gauss rules. It may therefore not be possible to use generalized averaged Gaussian quadrature formulas with integrands that only are defined on the convex hull of the support of the measure. Generalized averaged Gaussian quadrature formulas are determined by symmetric tridiagonal matrices. This paper investigates whether removing some of the last rows and columns of these matrices gives quadrature rules whose nodes live in the convex hull of the support of the measure.
Кључне речи:
Truncations of the generalized averaged Gauss quadrature rule / Gauss quadrature / Averaged Gauss rulesИзвор:
Journal of Computational and Applied Mathematics, 2016, 308, 408-418Издавач:
- Elsevier Science Bv, Amsterdam
Финансирање / пројекти:
- Serbian Ministry of Education, Science and Technological Development
- Методе нумеричке и нелинеарне анализе са применама (RS-174002)
DOI: 10.1016/j.cam.2016.06.016
ISSN: 0377-0427
WoS: 000381546600027
Scopus: 2-s2.0-84977674909
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Đukić, Dušan AU - Reichel, Lothar AU - Spalević, Miodrag PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2402 AB - Generalized averaged Gaussian quadrature formulas may yield higher accuracy than Gauss quadrature formulas that use the same moment information. This makes them attractive to use when moments or modified moments are cumbersome to evaluate. However, generalized averaged Gaussian quadrature formulas may have nodes outside the convex hull of the support of the measure defining the associated Gauss rules. It may therefore not be possible to use generalized averaged Gaussian quadrature formulas with integrands that only are defined on the convex hull of the support of the measure. Generalized averaged Gaussian quadrature formulas are determined by symmetric tridiagonal matrices. This paper investigates whether removing some of the last rows and columns of these matrices gives quadrature rules whose nodes live in the convex hull of the support of the measure. PB - Elsevier Science Bv, Amsterdam T2 - Journal of Computational and Applied Mathematics T1 - Truncated generalized averaged Gauss quadrature rules EP - 418 SP - 408 VL - 308 DO - 10.1016/j.cam.2016.06.016 ER -
@article{ author = "Đukić, Dušan and Reichel, Lothar and Spalević, Miodrag", year = "2016", abstract = "Generalized averaged Gaussian quadrature formulas may yield higher accuracy than Gauss quadrature formulas that use the same moment information. This makes them attractive to use when moments or modified moments are cumbersome to evaluate. However, generalized averaged Gaussian quadrature formulas may have nodes outside the convex hull of the support of the measure defining the associated Gauss rules. It may therefore not be possible to use generalized averaged Gaussian quadrature formulas with integrands that only are defined on the convex hull of the support of the measure. Generalized averaged Gaussian quadrature formulas are determined by symmetric tridiagonal matrices. This paper investigates whether removing some of the last rows and columns of these matrices gives quadrature rules whose nodes live in the convex hull of the support of the measure.", publisher = "Elsevier Science Bv, Amsterdam", journal = "Journal of Computational and Applied Mathematics", title = "Truncated generalized averaged Gauss quadrature rules", pages = "418-408", volume = "308", doi = "10.1016/j.cam.2016.06.016" }
Đukić, D., Reichel, L.,& Spalević, M.. (2016). Truncated generalized averaged Gauss quadrature rules. in Journal of Computational and Applied Mathematics Elsevier Science Bv, Amsterdam., 308, 408-418. https://doi.org/10.1016/j.cam.2016.06.016
Đukić D, Reichel L, Spalević M. Truncated generalized averaged Gauss quadrature rules. in Journal of Computational and Applied Mathematics. 2016;308:408-418. doi:10.1016/j.cam.2016.06.016 .
Đukić, Dušan, Reichel, Lothar, Spalević, Miodrag, "Truncated generalized averaged Gauss quadrature rules" in Journal of Computational and Applied Mathematics, 308 (2016):408-418, https://doi.org/10.1016/j.cam.2016.06.016 . .