A Family of Gauss-Kronrod Quadrature Formulae

DOI10.2307/2008774zbMath0699.65016OpenAlexW4245549849MaRDI QIDQ3477873

T. J. Rivlin, Walter Gautschi

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2008774

zbMATH Keywords

Gauss-Kronrod quadrature formulaeGauss nodesKronrod nodesexplicit formulae for the weights

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Stieltjes polynomials and functions of the second kind, Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type, Algorithms for the construction of high-order Kronrod rule extensions with application to sparse-grid integration, Positivity of the Weights of Extended Clenshaw-Curtis Quadrature Rules, Weight functions admitting repeated positive Kronrod quadrature, On generalized averaged Gaussian formulas. II, Comparison of boundary collocation methods for singular and non-singular axisymmetric heat transfer problems, Stieltjes polynomials and Lagrange interpolation, Stieltjes polynomials and related quadrature formulae for a class of weight functions, Stieltjes polynomials and related quadrature formulae for a class of weight functions. II., Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials, On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas, Stopping functionals for Gaussian quadrature formulas

Cites Work

• An Algebraic Study of Gauss-Kronrod Quadrature Formulae for Jacobi Weight Functions
• Stieltjes Polynomials and Related Quadrature Rules
• A Note on Extended Gaussian Quadrature Rule
• Positivity of the Weights of Extended Gauss-Legendre Quadrature Rules
• Unnamed Item
• Unnamed Item