Numerical construction of Gaussian quadrature formulas for and

Author:
Bernard Danloy

Journal:
Math. Comp. **27** (1973), 861-869

MSC:
Primary 65D30

DOI:
https://doi.org/10.1090/S0025-5718-1973-0331730-X

MathSciNet review:
0331730

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Abstract: Most nonclassical Gaussian quadrature rules are difficult to construct because of the loss of significant digits during the generation of the associated orthogonal polynomials. But, in some particular cases, it is possible to develop stable algorithms. This is true for at least two well-known integrals, namely

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1973-0331730-X

Keywords:
Gaussian quadrature rules,
numerical condition,
orthogonal polynomials

Article copyright:
© Copyright 1973
American Mathematical Society