A note on weighted quadrature rules

作者：Masjed Jamei Mohammad; Area Ivan^*

来源：Mathematical Methods in the Applied Sciences, 2017, 40(17): 6103-6113.

DOI：10.1002/mma.3785

• changing the integration basis
• Gaussian quadratures
• extension of Gauss-Jacobi and Gauss-Laguerre rules
• classical orthogonal polynomials

In this paper, it is shown how to change the integration basis in some Gaussian (weighted) quadrature rules in order to obtain new quadrature models and improve classical results in the sequel. The main advantage of this approach is its simplicity, which can be implemented in any numerical integration package. Several remarkable numerical evidences are then given to show the advantage and efficiency of the proposed approach with respect to classical methods.

• 出版日期2017-11-30