Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules
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Publication:1692299
DOI10.1007/s00211-017-0901-yzbMath1384.41022OpenAlexW2679179110MaRDI QIDQ1692299
Miodrag M. Spalević, Bernardo de la Calle Ysern
Publication date: 26 January 2018
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-017-0901-y
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55)
Related Items (2)
On the computation of Patterson-type quadrature rules ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind
Uses Software
Cites Work
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- New block quadrature rules for the approximation of matrix functions
- Generalized averaged Gauss quadrature rules for the approximation of matrix functionals
- Gauss-Kronrod quadrature formulae. A survey of fifty years of research
- Internality of generalized averaged Gauss rules and their truncations for Bernstein-Szegő weights
- Generalized averaged Szegő quadrature rules
- Truncated generalized averaged Gauss quadrature rules
- Suboptimal Kronrod extension formulae for numerical quadrature
- On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas
- Modified optimal quadrature extensions
- Stieltjes polynomials and Gauss-Kronrod quadrature for Jacobi weight functions
- A historical note on Gauss-Kronrod quadrature
- Stieltjes polynomials and functions of the second kind
- Quadrature formulas for Fourier coefficients
- Calculation of Radau-Kronrod and Lobatto-Kronrod quadrature formulas
- A note on generalized averaged Gaussian formulas
- On generalized averaged Gaussian formulas. II
- Stieltjes-type polynomials on the unit circle
- Addition of Points to Gauss–Laguerre Quadrature Formulas
- On generalized averaged Gaussian formulas
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- Stieltjes Polynomials and Related Quadrature Rules
- Calculation of Gauss-Kronrod quadrature rules
- An algorithm for generating interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions
- Algorithm 672: generation of interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions
- Anti-Gaussian quadrature formulas
- Ultraspherical Gauss--Kronrod Quadrature Is Not Possible for $\lambda > 3$
- Computation of Gauss-Kronrod quadrature rules
- Optimal extension of the Szeg quadrature
- Ultraspherical Stieltjes Polynomials and Gauss–Kronrod Quadrature Behave Nicely for $\lambda< 0$
- The Optimum Addition of Points to Quadrature Formulae
- An overview of the computational aspects of Kronrod quadrature rules
- A connection between quadrature formulas on the unit circle and the interval \([-1,1\)]
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