Editing Gaussian quadrature (section)

== References ==
=== Citations ===
<references/>
=== Bibliography ===
{{refbegin}}
{{sfn whitelist | CITEREFAbramowitzStegun1983}}
* {{AS ref | 25.4, Integration }}
*{{cite journal | first1 = Donald G. | last1 = Anderson | title = Gaussian quadrature formulae for <math>\int_0^1 -\ln(x)f(x) dx</math> | year = 1965 | volume = 19 | number = 91 | pages = 477–481 | journal = Math. Comp. | doi = 10.1090/s0025-5718-1965-0178569-1 | doi-access = free }}
*{{cite journal | first1 = Bernard | last1 = Danloy | title = Numerical construction of Gaussian quadrature formulas for <math>\int_0^1 (-\log x) x^\alpha f(x) dx</math> and <math>\int_0^\infty E_m(x) f(x) dx</math> | journal = Math. Comp. | year = 1973 | volume = 27 | number = 124 | pages = 861–869 | doi = 10.1090/S0025-5718-1973-0331730-X | mr = 0331730}}
* {{cite web | last1 = Eaton | first1 = John W. | last2 = Bateman | first2 = David | last3 = Hauberg | first3 = Søren | last4 = Wehbring | first4 = Rik | title = Functions of One Variable (GNU Octave) | url = https://octave.org/doc/v4.2.2/Functions-of-One-Variable.html#XREFquadl | access-date = 28 September 2018 | year = 2018}}
*{{cite journal | title = Adaptive Quadrature - Revisited | last1 = Gander | first1 = Walter | last2 = Gautschi | first2 = Walter | journal = BIT Numerical Mathematics | date = 2000 | volume = 40 | issue = 1 | pages = 84–101 | doi = 10.1023/A:1022318402393 | url = https://www.inf.ethz.ch/personal/gander/}}
* {{cite book | last = Gauss | first = Carl Friedrich | author-link = Carl Friedrich Gauss | title = Methodus nova integralium valores per approximationem inveniendi | series = Comm. Soc. Sci. Göttingen Math | volume = 3 | year = 1815 | at = S. 29–76 | url = http://gallica.bnf.fr/ark:/12148/bpt6k2412190.r=Gauss.langEN }} datiert 1814, auch in Werke, Band 3, 1876, S. 163–196. [[s:Translation:Methodus_nova_integralium_valores_per_approximationem_inveniendi|English Translation]] by Wikisource.
*{{cite journal | first1 = Walter | last1 = Gautschi | title = Construction of Gauss–Christoffel Quadrature Formulas | journal= Math. Comp. | year = 1968 | volume = 22 | issue= 102 | pages = 251–270 | doi = 10.1090/S0025-5718-1968-0228171-0 | mr = 0228171}}
*{{cite journal | first1 = Walter | last1 = Gautschi | title = On the construction of Gaussian quadrature rules from modified moments | journal= Math. Comp. | year = 1970 | volume = 24 | issue = 110 | pages = 245–260 | doi = 10.1090/S0025-5718-1970-0285117-6 | mr = 0285177}}
* {{cite book | first = Walter | last = Gautschi | title = A Software Repository for Gaussian Quadratures and Christoffel Functions | publisher = SIAM | isbn = 978-1-611976-34-2 | year = 2020}}
* {{citation | last1 = Gil | first1 = Amparo | last2 = Segura | first2 = Javier | last3 = Temme | first3 = Nico M. | chapter=§5.3: Gauss quadrature | title = Numerical Methods for Special Functions | year = 2007 | publisher = SIAM | isbn = 978-0-89871-634-4 }}
* {{cite journal | first1 = Gene H. | last1 = Golub | title = Calculation of Gauss Quadrature Rules | journal = Mathematics of Computation | author-link = Gene Golub | first2 = John H. | last2 = Welsch | volume = 23 | issue = 106 | year = 1969 | pages = 221–230 | jstor = 2004418 | doi = 10.1090/S0025-5718-69-99647-1 | doi-access= free}}
*{{cite journal | first = C. G. J. | last = Jacobi | author-link = Carl Gustav Jacob Jacobi | title = Ueber Gauß' neue Methode, die Werthe der Integrale näherungsweise zu finden | journal = Journal für die Reine und Angewandte Mathematik | volume = 1 | year = 1826 | at = S. 301–308 | url = http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN243919689_0001&DMDID=DMDLOG_0035 | postscript = und Werke, Band 6.}}
* {{Cite journal | last1 = Kabir | first1 = Hossein | last2 = Matikolaei | first2 = Sayed Amir Hossein Hassanpour | date = 2017 | title = Implementing an Accurate Generalized Gaussian Quadrature Solution to Find the Elastic Field in a Homogeneous Anisotropic Media  | journal = Journal of the Serbian Society for Computational Mechanics | volume = 11 | issue = 1 | pages = 11–19 | doi = 10.24874/jsscm.2017.11.01.02}}
*{{cite book | last1 = Kahaner | first1 = David | last2 = Moler | first2 = Cleve | author2-link = Cleve Moler | last3 = Nash | first3 = Stephen | title = Numerical Methods and Software | year = 1989 | publisher = [[Prentice-Hall]] | isbn = 978-0-13-627258-8 | url-access = registration | url = https://archive.org/details/numericalmethods0000kaha }}
* {{cite journal | first1 = Teresa | last1 = Laudadio | first2 = Nicola | last2 = Mastronardi | first3 = Paul | last3 = Van Dooren | title = Computing Gaussian quadrature rules with high relative accuracy | journal = Numerical Algorithms | volume = 92 | year = 2023 | pages = 767–793|doi=10.1007/s11075-022-01297-9| doi-access = free }}
* {{citation | first1 = Dirk P. | last1 = Laurie | title = Accurate recovery of recursion coefficients from Gaussian quadrature formulas | year = 1999 | volume = 112 | number = 1–2 | pages = 165–180 | journal = J. Comput. Appl. Math. | doi = 10.1016/S0377-0427(99)00228-9 | doi-access = free }}
* {{ cite journal | first1 = Dirk P. | last1 = Laurie | title = Computation of Gauss-type quadrature formulas | year = 2001 | pages = 201–217 | volume = 127 | number = 1–2 | journal = J. Comput. Appl. Math. | doi = 10.1016/S0377-0427(00)00506-9 | bibcode = 2001JCoAM.127..201L }}
* {{cite web | title = Numerical integration - MATLAB integral | url = https://www.mathworks.com/help/matlab/ref/integral.html | author = MathWorks | date = 2012}} <!-- first introduced in version R2012a -->
*{{cite journal | first1 = R. | last1 = Piessens | title = Gaussian quadrature formulas for the numerical integration of Bromwich's integral and the inversion of the laplace transform | year = 1971 | volume = 5 | number = 1 | journal= J. Eng. Math. | pages = 1–9 | doi = 10.1007/BF01535429 | bibcode = 1971JEnMa...5....1P }}
*{{Citation | last1 = Press | first1 = WH | author1-link = William H. Press | last2 = Teukolsky | first2 = SA | last3 = Vetterling | first3 = WT | last4 = Flannery | first4 = BP | year = 2007 | title = Numerical Recipes: The Art of Scientific Computing | edition = 3rd | publisher = Cambridge University Press | location = New York | isbn = 978-0-521-88068-8 | chapter = Section 4.6. Gaussian Quadratures and Orthogonal Polynomials | chapter-url = http://apps.nrbook.com/empanel/index.html?pg=179}}
* {{cite book | author-link1= Alfio Quarteroni | last1 = Quarteroni | first1 = Alfio | first2 = Riccardo | last2 = Sacco | first3 = Fausto | last3 = Saleri | title = Numerical Mathematics | location = New York | publisher = [[Springer-Verlag]] | pages = 425–478 | date = 2000 | isbn = 0-387-98959-5 | title-link = Numerical Mathematics |doi=10.1007/978-3-540-49809-4_10}}
*{{cite journal | first1 = Cordian | last1 = Riener | last2 = Schweighofer | first2 = Markus | title = Optimization approaches to quadrature: New characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions | year = 2018 | journal = Journal of Complexity | volume = 45 | pages = 22–54 | doi = 10.1016/j.jco.2017.10.002 | arxiv = 1607.08404 }}
* {{ cite journal | first1 = Robin P. | last1 = Sagar | title = A Gaussian quadrature for the calculation of generalized Fermi-Dirac integrals | year = 1991 | journal = Comput. Phys. Commun. | volume = 66 | pages = 271–275 | number = 2–3 | doi = 10.1016/0010-4655(91)90076-W | bibcode = 1991CoPhC..66..271S }}
* {{citation | last1 = Stoer | first1 = Josef | last2 = Bulirsch | first2 = Roland | year = 2002 | title = Introduction to Numerical Analysis | edition = 3rd | publisher = [[Springer-Verlag | Springer]] | isbn = 978-0-387-95452-3<!-- 0-387-95452-X --> }}
*{{dlmf | title=§3.5(v): Gauss Quadrature | id = 3.5.v | last = Temme | first = Nico M.}}
*{{cite journal | first1 = E. | last1 = Yakimiw | title = Accurate computation of weights in classical Gauss–Christoffel quadrature rules | year = 1996 | journal = J. Comput. Phys. | volume = 129 | issue = 2 | pages = 406–430 | bibcode = 1996JCoPh.129..406Y | doi = 10.1006/jcph.1996.0258}}
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