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On some Gauss and Lobatto based integration formulae


Author: T. N. L. Patterson
Journal: Math. Comp. 22 (1968), 877-881
DOI: https://doi.org/10.1090/S0025-5718-68-99865-7
MathSciNet review: 0240983
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References | Additional Information

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

  • [1] A. S. Kronrod, Nodes and Weights of Quadrature Formulas, English transl. from Russian, Consultants Bureau, New York, 1965. MR 32 #597. MR 0183116 (32:598)
  • [2] C. W. Clenshaw & A. R. Curtiss, "A method for numerical integration on an automatic computer," Numer. Math., v. 2, 1960, pp. 197-205. MR 22 #8659. MR 0117885 (22:8659)
  • [3] C. Lanczos, Applied Analysis, Prentice-Hall, Englewood Cliffs, N. J., 1956. MR 18, 823. MR 0084175 (18:823c)
  • [4] H. J. Gawlik, Zeros of Legendre Polynomials of Orders 2-64 and Weight Coefficients of Gauss Quadrature Formulae, Armament Research and Development Establishment Memorandum (B) 77/58, Fort Halstead, Kent, England, 1958.
  • [5] P. Rabinowitz, "Abscissas and weights for Lobatto quadrature of high order," Math. Comp., v. 14, 1960, pp. 47-52. MR 22 #1076. MR 0110194 (22:1076)


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-68-99865-7
Article copyright: © Copyright 1968 American Mathematical Society

American Mathematical Society