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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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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