Geodesic
Weighted Hermite quadrature rules
Electronic transactions on numerical analysis, Tome 45 (2016), pp. 476-498.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, a new representation of Hermite osculatory interpolation is presented in order to construct weighted Hermite quadrature rules. Then, explicit forms of several special cases of the established quadrature are obtained such as weighted Hermite quadrature rules with arithmetic and geometric nodes as well as standard Gauss-Christoffel quadrature rules and Gaussian quadratures rules using only function derivatives. Some numerical examples are also given for the above mentioned cases.
Classification : 65D05, 65D30, 41A55, 65D32
Keywords: weighted Hermite quadrature rule, Hermite interpolation, Gaussian quadrature, divided differences, distribution of nodes 
@article{ETNA_2016__45__a1,
     author = {Masjed-Jamei, Mohammad and Milovanovi\'c, Gradimir V.},
     title = {Weighted {Hermite} quadrature rules},
     journal = {Electronic transactions on numerical analysis},
     pages = {476--498},
     publisher = {mathdoc},
     volume = {45},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2016__45__a1/}
}
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Masjed-Jamei, Mohammad; Milovanović, Gradimir V. Weighted Hermite quadrature rules. Electronic transactions on numerical analysis, Tome 45 (2016), pp. 476-498. http://geodesic.mathdoc.fr/item/ETNA_2016__45__a1/