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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Abscissas and weight coefficients for Lobatto quadrature
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by H. H. Michels PDF
Math. Comp. 17 (1963), 237-244 Request permission
References
  • 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, DOI 10.6028/jres.056.005
  • P. Davis & P. Rabinowitz, “Additional Abscissas and Weights for Gaussian Quadrature of High Order: values for n = 64, 80, and 96,” NBS J. of Research, v. 60, 1958, p. 613. R. Lobatto, Lessen over de Integraal-Rekening, The Hague, 1852, p. 207. M. R. Radau, “Etude sur les formules d’approximation qui servant à calculer la valeur numérique d’une intégrale définie.” J. de Math., (3), v. 6, 1880, p. 283. Ibid, p. 307.
  • Philip Rabinowitz, Abscissas and weights for Lobatto quadrature of high order, Math. Comput. 14 (1960), 47–52. MR 0110194, DOI 10.1090/S0025-5718-1960-0110194-6
  • E. T. Whitaker & G. N. Watson, Modern Analysis, 4th Edition, Cambridge University Press, 1927. H. Szegö, Orthogonal Polynomials, American Math. Soc. Publ., v. 23, American Math. Soc., N. Y., 1939.
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Additional Information
  • © Copyright 1963 American Mathematical Society
  • Journal: Math. Comp. 17 (1963), 237-244
  • MSC: Primary 65.55
  • DOI: https://doi.org/10.1090/S0025-5718-1963-0158540-4
  • MathSciNet review: 0158540