Gaussian quadrature of integrands involving the error function

Authors:
J. P. Vigneron and Ph. Lambin

Journal:
Math. Comp. **35** (1980), 1299-1307

MSC:
Primary 65A05; Secondary 65D30

DOI:
https://doi.org/10.1090/S0025-5718-1980-0583507-1

MathSciNet review:
583507

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Abstract: Orthogonal polynomials corresponding to the weight function and defined on the positive real axis are constructed. Abscissas and weight factors for the associated Gaussian quadrature are then deduced (up to 12-point formulas). The stability of the algorithm used for this particular computation is discussed. An example is provided to test the efficiency of the new Gaussian rule.

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DOI:
https://doi.org/10.1090/S0025-5718-1980-0583507-1

Article copyright:
© Copyright 1980
American Mathematical Society