Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
Copyright policy )Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
The authors present a numerical algorithm for the construction of generalized Gaussian quadrature rules for a Chebyshev system on the interval \([a,b]\), originally introduced by \textit{S. Karlin} and \textit{W. J. Studden} [Tchebycheff systems: With applications in analysis and statistics (1966; Zbl 0153.38902)]. This algorithm is extended to functions with end-point singularities. The performance of the algorithm is demonstrated with several numerical examples.
numerical examples, algorithm, end-point singularities, Gaussian quadrature rules, Chebyshev system, Numerical quadrature and cubature formulas, Approximate quadratures
numerical examples, algorithm, end-point singularities, Gaussian quadrature rules, Chebyshev system, Numerical quadrature and cubature formulas, Approximate quadratures
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