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.
oai:arar.sci.am:292962
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան
Nov 25, 2024
Dec 17, 2021
23
https://arar.sci.am/publication/320191
Edition name | Date |
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Poghosyan, H., Calculation of Gaussian Quadrature with High Accuracy Mathematics Package | Nov 25, 2024 |
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