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Mathematics of Computation

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Gaussian quadratures for the integrals $ \sb{0}\sp{\infty }\,{\rm exp}(-x\sp{2})f(x)dx$ and $ \sb{0}\sp{b}\,{\rm exp}(-x\sp{2})f(x)dx$


Authors: N. M. Steen, G. D. Byrne and E. M. Gelbard
Journal: Math. Comp. 23 (1969), 661-671
MSC: Primary 65.25
DOI: https://doi.org/10.1090/S0025-5718-1969-0247744-3
Note: Math. Comp. 23, no. 107 (1969), p. 673.
MathSciNet review: 0247744
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Abstract: Gaussian quadratures are developed for the evaluation of the integrals given in the title. The weights and abscissae for the semi-infinite integral are given for two through fifteen points with fifteen places. For $ b = 1$, the weights and abscissae are given for two through ten points with fifteen places.


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DOI: https://doi.org/10.1090/S0025-5718-1969-0247744-3
Article copyright: © Copyright 1969 American Mathematical Society

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