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Abscissas and weight coefficients for Lobatto quadrature


Author: H. H. Michels
Journal: Math. Comp. 17 (1963), 237-244
MSC: Primary 65.55
MathSciNet review: 0158540
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  • [1] 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
  • [2] 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.
  • [3] R. Lobatto, Lessen over de Integraal-Rekening, The Hague, 1852, p. 207.
  • [4] 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.
  • [5] Ibid, p. 307.
  • [6] Philip Rabinowitz, Abscissas and weights for Lobatto quadrature of high order, Math. Comput. 14 (1960), 47–52. MR 0110194, 10.1090/S0025-5718-1960-0110194-6
  • [7] E. T. Whitaker & G. N. Watson, Modern Analysis, 4th Edition, Cambridge University Press, 1927.
  • [8] H. Szegö, Orthogonal Polynomials, American Math. Soc. Publ., v. 23, American Math. Soc., N. Y., 1939.

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DOI: http://dx.doi.org/10.1090/S0025-5718-1963-0158540-4
Article copyright: © Copyright 1963 American Mathematical Society