2018•Communications of the Byurakan Astrophysical ObservatoryOpen access
Numerical calculation of zeros and weights for Gaussian quadrature: Legendre polynomials
NAS RA V. Ambartsumian Byurakan Astrophysical Observatory (BAO), H. A. Harutyunian, H. A. Poghosyan, NAS RA V. Ambartsumian Byurakan Astrophysical Observatory (BAO)
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Abstract
The roots of the Legendre polynomials and corresponding weights necessary for Gaussian quadrature of integrals are calculated numerically. A package of program created for high accuracy calculations is used for the machine computing. The numerical procedure used for determination of the Legendre polynomials’ roots and corresponding weights is described. We also bring here some results of numerical calculations as an illustration.
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