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How and how not to check Gaussian quadrature formulae. (English) Zbl 0518.65007

65D32Quadrature and cubature formulas (numerical methods)
41A55Approximate quadratures
Full Text: DOI
[1] F. D. Crary,A versatile precompiler for nonstandard arithmetics, ACM Trans. Mathematical Software 5 (1979), 204--217. · Zbl 0399.68039 · doi:10.1145/355826.355834
[2] J. J. Dongarra et al.,LINPACK User’s Guide, SIAM, Philadelphia (1979).
[3] W. Gautschi,On generating orthogonal polynomials, SIAM J. Sci. Statist. Comput. 3 (1982), 289--317. · Zbl 0482.65011 · doi:10.1137/0903018
[4] R. G. Gordon,Error bounds in equilibrium statistical mechanics, J. Mathematical Phys. 9 (1968), 655--663. · Zbl 0182.30002 · doi:10.1063/1.1664624
[5] Soo-Y. Lee,The inhomogeneous Airy functions Gi(z)and Hi(z), J. Chem. Phys. 72 (1980), 332--336. · doi:10.1063/1.438852