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

 

An error bound for quadratures


Author: J. H. Hetherington
Journal: Math. Comp. 26 (1972), 695-698
MSC: Primary 65D30
MathSciNet review: 0331732
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Abstract: A definition of a length scale is given for analytic functions. Quadrature error bounds based on this length scale can be used to compare different orders and types of quadrature rules.


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

  • [1] Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, vol. 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR 0167642 (29 #4914)
  • [2] Similar behavior has been found experimentally by K. E. Hillstrom, Comm. ACM, v. 13, 1970, p. 362.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1972-0331732-2
PII: S 0025-5718(1972)0331732-2
Keywords: Quadrature, error bound
Article copyright: © Copyright 1972 American Mathematical Society