Generalized Gauss-Radau and Gauss-Lobatto formulae
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.
positivity moment-preserving spline approximation gauss-radau quadrature gauss-lobatto quadrature multiple boundary node(s)