Generalized Gauss – Radau and Gauss – Lobatto Formulae ∗

نویسنده

  • WALTER GAUTSCHI
چکیده

Computational methods are developed for generating Gauss-type quadrature formulae having nodes of arbitrary multiplicity at one or both end points of the interval of integration. Positivity properties of the boundary weights are investigated numerically, and related conjectures are formulated. Applications are made to moment-preserving spline approximation. AMS subject classification: 65D30.

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تاریخ انتشار 2004