Weighted quadrature formulae of Gauss-Christoffel-Stancu type

Dimitrie D. Stancu; Ioana Taşcu; Alina Beian-Putura

doi:10.33993/jnaat322-751

Authors

Dimitrie D. Stancu “Babes-Bolyai” University, Cluj-Napoca, Romania
Ioana Taşcu North University, Baia Mare, Romania
Alina Beian-Putura Computer Science Highschool, Bistrita, Romania

DOI:

https://doi.org/10.33993/jnaat322-751

Keywords:

weighted quadrature formulae, multiple fixed nodes and simple Gaussian nodes, Stancu method of parameters, Christoffel--Szegő formula

Abstract views: 286

Abstract

In the present paper we consider weighted integrals and develop explicit quadrature formulae of Gauss-Christoffel-Stancu type using simple Gaussian nodes and multiple fixed nodes. Given the multiple fixed nodes and their multiplicities, we present some algorithms for finding the Gaussian nodes, the coefficients and the remainders of the corresponding quadrature formulae. Several illustrative examples are presented in the case of some classical weight functions.

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References

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