On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas

DOI10.1016/S0377-0427(01)00407-1zbMath1002.41014MaRDI QIDQ1602780

Sven Ehrich

Publication date: 24 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

error estimationextended quadrature formulasGauss-Hermite quadrature formulasGauss-Laguerre quadrature formulas

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items

Averaged Gauss quadrature formulas: properties and applications, Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes, Gauss quadrature rules for a generalized Hermite weight function, Generalized averaged Gauss quadrature rules for the approximation of matrix functionals, Radau- and Lobatto-type averaged Gauss rules, Error estimates for a Gaussian rule involving Bessel functions, Decompositions of optimal averaged Gauss quadrature rules, Averaged cubature schemes on the real positive semiaxis, Optimal averaged Padé-type approximants, Modified anti-Gaussian quadrature formulae of Chebyshev type, Error estimates of anti-Gaussian quadrature formulae, Unnamed Item, A note on generalized averaged Gaussian formulas, Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients, Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials, Modified anti-Gauss and degree optimal average formulas for Gegenbauer measure, On numerical computation of integrals with integrands of the form \(f(x)\sin(w/x^r)\) on [0,1], Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity, A new representation of generalized averaged Gauss quadrature rules, Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind, Truncated generalized averaged Gauss quadrature rules, Efficient computation of highly oscillatory Fourier-type integrals with monomial phase functions and Jacobi-type singularities, On generalized averaged Gaussian formulas

Uses Software

• QUADPACK

Cites Work

• Suboptimal Kronrod extension formulae for numerical quadrature
• Nonexistence of extended Gauss-Laguerre and Gauss-Hermite quadrature rules with positive weights
• Modified optimal quadrature extensions
• Stratified nested and related quadrature rules
• Addition of Points to Gauss–Laguerre Quadrature Formulas
• Stieltjes Polynomials and Related Quadrature Rules
• STRATIFIED SEQUENCES OF NESTED QUADRATURE FORMULAS
• Anti-Gaussian quadrature formulas
• Stopping functionals for Gaussian quadrature formulas
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item