Journal or Publication Title:
Date of publication:
Volume:
Number:
ISSN:
Title:
Calculation of Gaussian Quadrature with High Accuracy Mathematics Package
Creator:
Subject:
Uncontrolled Keywords:
Numerical calculations ; Gaussian quadrature ; Hermite polynomials ; zeros and weights
Coverage:
Abstract:
We are checking here the dependence of numerical integration accuracy on the quantity of integration points and the accuracy of machine representation of numbers. For this purpose, the package HAHMath is applied. This package allows one to carry out calculations with arbitrary long machine decimal numbers, presented as vectors of integers. Integrals are substituted for Gaussian sums where Hermite polynomials zeros and corresponding weights, computed by the same package are used. It is shown that the chosen case accuracy of final calculations depends on the used machine numbers’ length more strictly than on the quantity of the integration points.