scientific article
From MaRDI portal
Publication:3938409
zbMath0479.65001MaRDI QIDQ3938409
Publication date: 1981
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
convergenceCauchy principle value integralsoscillatory integralsextended bibliographyGauss-Christoffel quadrature formulaeremainder theory
Computation of special functions and constants, construction of tables (65D20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) History of mathematics in the 19th century (01A55) History of numerical analysis (65-03) Tables in numerical analysis (65A05)
Related Items (83)
The error norm of Gauss-Lobatto quadrature formulae for weight functions of Bernstein-Szegö type ⋮ The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization ⋮ Fast algorithms using orthogonal polynomials ⋮ Polynomials orthogonal on the semicircle ⋮ The numerical evaluation of singular integrals with coth-kernel ⋮ Computing the Hilbert transform of a Jacobi weight function ⋮ The error norm of Gauss-Radau quadrature formulae for Chebyshev weight functions ⋮ On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line ⋮ On the evaluation of Hilbert transforms by means of a particular class of Turán quadrature rules ⋮ Moment-preserving spline approximation on finite intervals ⋮ On the variance of Gaussian quadrature formulae in the ultraspherical case ⋮ On sensitivity of Gauss-Christoffel quadrature ⋮ Numerical Integration of Highly Oscillating Functions ⋮ New error bounds for modified quadrature formulas for Cauchy principal value integrals ⋮ Some error bounds for Gauss-Jacobi quadrature rules ⋮ Uniform approximation to Cauchy principal value integrals with logarithmic singularity ⋮ Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates ⋮ Minkowski's question mark measure ⋮ A note on Peano constants of Gauss-Kronrod quadrature schemes ⋮ \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae ⋮ Properties of certain piecewise polynomial product integration rules ⋮ Associated symmetric quadrature rules ⋮ Quadrature Rules with Multiple Nodes ⋮ Anti-Gaussian quadrature formulae of Chebyshev type ⋮ Gauss-type quadrature rules for variable-sign weight functions ⋮ Truncated Hermite polynomials ⋮ A Stieltjes Algorithm for Generating Multivariate Orthogonal Polynomials ⋮ Gauss-type quadrature rules with respect to external zeros of the integrand ⋮ Conformal mapping of a \(Z\)-shaped domain ⋮ Kernel polynomials from \(L\)-orthogonal polynomials ⋮ Computing the Weighted Geometric Mean of Two Large-Scale Matrices and Its Inverse Times a Vector ⋮ Exact cubature rules for symmetric functions ⋮ An outline of the life and work of E. B. Christoffel (1829-1900) ⋮ Hermite orthogonal rational functions ⋮ Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules ⋮ On the computation of the Gauss-Legendre quadrature formula with a given precision ⋮ Generalized quadrature rules of Gaussian type for numerical evaluation of singular integrals ⋮ On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures ⋮ Padé-type approximants for functions of Markov-Stieltjes type ⋮ Calculation of Radau-Kronrod and Lobatto-Kronrod quadrature formulas ⋮ Orthogonality with respect to the sum of two semiclassical regular linear forms ⋮ A note on the error in Gaussian quadrature ⋮ Stieltjes polynomials and related quadrature formulae for a class of weight functions. II. ⋮ Acceleration of Gauss-Legendre quadrature for an integrand with an endpoint singularity ⋮ Confluent Prony approximation ⋮ Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle ⋮ Convergence acceleration of some Gaussian quadrature formulas for analytic functions ⋮ How to generate unknown orthogonal polynomials out of known orthogonal polynomials ⋮ The Lanczos algorithm and complex Gauss quadrature ⋮ An efficient and reliable quadrature algorithm for integration with respect to binomial measures ⋮ A matrix approach to the computation of quadrature formulas on the unit circle ⋮ Stopping functionals for Gaussian quadrature formulas ⋮ Computation of Gauss-type quadrature formulas ⋮ Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation ⋮ Corrections to On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures ⋮ Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle ⋮ Para-orthogonal polynomials from constant Verblunsky coefficients ⋮ \(d\)-fold Hermite-Gauss quadrature ⋮ The error norm of quadrature formulae ⋮ Quadrature formulas associated with rational modifications of the Chebyshev weight functions ⋮ Quadrature rules from finite orthogonality relations for Bernstein-Szegö polynomials ⋮ Approximating Spectral Densities of Large Matrices ⋮ Quadrature rules from a \(R_{II}\) type recurrence relation and associated quadrature rules on the unit circle ⋮ Cubature rules for unitary Jacobi ensembles ⋮ An evaluation of Clenshaw-Curtis quadrature rule for integration w.r.t. singular measures ⋮ Quadrature formulas associated with Rogers-Szegő polynomials ⋮ P. L. Chebyshev (1821-1894). A guide to his life and work ⋮ Associated orthogonal polynomials of the first kind and Darboux transformations ⋮ Some large-scale matrix computation problems ⋮ Discrete approximations to spherically symmetric distributions ⋮ The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegö weight functions ⋮ Laurent-Hermite-Gauss quadrature ⋮ Two-point Padé expansions for a family of analytic functions ⋮ The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis ⋮ Weighted integration of periodic functions on the real line. ⋮ On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions ⋮ Gauss-Radau and Gauss-Lobatto quadratures with double end points ⋮ Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros ⋮ On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas ⋮ Quadrature formulae connected to sigma-orthogonal polynomials ⋮ Exactness of Quadrature Formulas ⋮ Weighted nonstandard quadrature formulas based on values of linear differential operators ⋮ Spline approximations to spherically symmetric distributions
This page was built for publication:
