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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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
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.


References [Enhancements On Off] (What's this?)

  • [1] N. M. Steen Gaussian Quadratures, Westinghouse Electric Co. Report, WAPD-TM-773, July, 1968.
  • [2] Walter Gautschi, Recursive computation of certain integrals, J. Assoc. Comput. Mach. 8 (1961), 21–40. MR 0119392 (22 #10156)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1969-0247744-3
PII: S 0025-5718(1969)0247744-3
Article copyright: © Copyright 1969 American Mathematical Society