Approximate cubature formulas with simple Gaussian nodes and with multiple fixed nodes
In this paper we use the multivariate interpolation for construction of cubature formulas of high degree of exactness, when the domain of interpolation is a rectangle. These formulas are of Gauss-Christoffel-Stancu type. The coordinates of the Gaussian nodes are determined by using the roots of the orthogonal polynomials of Christoffel-Szego.
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