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

 

Abscissas and weights for Lobatto quadrature of high order


Author: Philip Rabinowitz
Journal: Math. Comp. 14 (1960), 47-52
MSC: Primary 65.00
MathSciNet review: 0110194
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  • [2] W. L. Frank, ``Mathematical subroutines for the UNIVAC scientific computer,'' Computers and Automation, v. 6, No. 9, 1957, p. 10-13.
  • [3] I. M. Longman, Note on a method for computing infinite integrals of oscillatory functions, Proc. Cambridge Philos. Soc. 52 (1956), 764–768. MR 0082193 (18,515f)
  • [4] R. Lobatto, Lessen over de Integraal-Rekening, The Hague, 1852, p. 207-210.
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  • [7] R. Radau, ``Étude sur les formules d'approximation qui servent à calculer la valeur d'une integrale definie,'' J. Math. Pures Appl., v. 6, No. 3, 1880, p. 283.
  • [8] Zdeněk Kopal, Numerical analysis. With emphasis on the application of numerical techniques to problems of infinitesimal calculus in single variable, John Wiley & Sons, Inc., New York, 1955. MR 0077213 (17,1007c)
  • [9] A. Erdelyi, et al., Higher Transcendental Functions, v. 2, McGraw-Hill Book Co., New York, 1953, p. 179.
  • [10] P. Davis and P. Rabinowitz, Abscissas and weights for Gaussian quadratures of high order, J. Res. Nat. Bur. Standards 56 (1956), 35–37. MR 0076463 (17,902g)
  • [11] P. Davis & P. Rabinowitz, ``Additional abscissas and weights for Gaussian quadratures of high order: values for n = 64, 80 and 96,'' NBS, Jn. of Research, v. 60, 1958, p. 613.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1960-0110194-6
PII: S 0025-5718(1960)0110194-6
Article copyright: © Copyright 1960 American Mathematical Society