A note on generalized averaged Gaussian formulas
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2007
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We have recently proposed a very simple numerical method for constructing the averaged Gaussian quadrature formulas. These formulas exist in many more cases than the real positive Gauss–Kronrod formulas. In this note we try to answer whether the averaged Gaussian formulas are an adequate alternative to the corresponding Gauss–Kronrod quadrature formulas, to estimate the remainder term of a Gaussian rule.
Ključne reči:
Averaged gaussian quadrature formulas / Gauss–Kronrod quadrature formulasIzvor:
Numerical Algorithms, 2007, 46, 3, 253-264Izdavač:
- Springer
Finansiranje / projekti:
- Serbian Ministry of Science and Environmental Protection (Project #144005A: “Approximation of linear operators”)
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Spalević, Miodrag PY - 2007 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5084 AB - We have recently proposed a very simple numerical method for constructing the averaged Gaussian quadrature formulas. These formulas exist in many more cases than the real positive Gauss–Kronrod formulas. In this note we try to answer whether the averaged Gaussian formulas are an adequate alternative to the corresponding Gauss–Kronrod quadrature formulas, to estimate the remainder term of a Gaussian rule. PB - Springer T2 - Numerical Algorithms T1 - A note on generalized averaged Gaussian formulas EP - 264 IS - 3 SP - 253 VL - 46 DO - 10.1007/s11075-007-9137-8 ER -
@article{ author = "Spalević, Miodrag", year = "2007", abstract = "We have recently proposed a very simple numerical method for constructing the averaged Gaussian quadrature formulas. These formulas exist in many more cases than the real positive Gauss–Kronrod formulas. In this note we try to answer whether the averaged Gaussian formulas are an adequate alternative to the corresponding Gauss–Kronrod quadrature formulas, to estimate the remainder term of a Gaussian rule.", publisher = "Springer", journal = "Numerical Algorithms", title = "A note on generalized averaged Gaussian formulas", pages = "264-253", number = "3", volume = "46", doi = "10.1007/s11075-007-9137-8" }
Spalević, M.. (2007). A note on generalized averaged Gaussian formulas. in Numerical Algorithms Springer., 46(3), 253-264. https://doi.org/10.1007/s11075-007-9137-8
Spalević M. A note on generalized averaged Gaussian formulas. in Numerical Algorithms. 2007;46(3):253-264. doi:10.1007/s11075-007-9137-8 .
Spalević, Miodrag, "A note on generalized averaged Gaussian formulas" in Numerical Algorithms, 46, no. 3 (2007):253-264, https://doi.org/10.1007/s11075-007-9137-8 . .