On the construction of Gauss-Legendre quadrature rules

DOI10.1016/0771-050X(78)90019-0zbMath0384.65009MaRDI QIDQ1249027

Frank G. Lether

Publication date: 1978

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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Cites Work

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• Sugli zeri dei polinomi sferici ed ultrasferici
• Expansion of the hypergeometric function in series of confluent ones and application to the Jacobi polynomials
• Abscissas and weights for Gaussian quadratures of high order
• Additional abscissas and weights for Gaussian quadratures of high order: Values for n=64, 80, and 96
• A Note on the Optimal Addition of Abscissas to Quadrature Formulas of Gauss and Lobatto Type
• First One Hundred Zeros of J 0 (x) Accurate to 19 Significant Figures
• Calculation of the principal values, weights and nodes of the gauss quadrature formulae of integrals
• Technical Notes and Short Papers