An improved error bound on Gauss quadrature

DOI10.1016/j.aml.2016.01.015zbMath1336.41012OpenAlexW2258903751MaRDI QIDQ274227

Shuhuang Xiang

Publication date: 22 April 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.01.015

zbMATH Keywords

Gauss quadratureconvergence ratealiasingChebyshev expansion

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (3)

Sensitivity Analysis for Stability of Uncertain Delay Differential Equations Using Polynomial Chaos Expansions ⋮ Monte Carlo with determinantal point processes ⋮ Polynomial (chaos) approximation of maximum eigenvalue functions. Efficiency and limitations

Uses Software

• Chebfun
• FastGaussQuadrature

Cites Work

• Unnamed Item
• Unnamed Item
• On a conjecture of D. B. Hunter
• On a problem proposed by H.Braß concerning the remainder term in quadrature for convex functions
• Gaussian integration of Chebyshev polynomials and analytic functions
• Error estimates for Clenshaw-Curtis quadrature
• $\mathcal{O}(1)$ Computation of Legendre Polynomials and Gauss--Legendre Nodes and Weights for Parallel Computing
• A Fast Algorithm for the Calculation of the Roots of Special Functions
• New Inequalities for the Zeros of Jacobi Polynomials
• Inequalities for the Zeros of Ultraspherical Polynomials and Bessel Functions
• On the Convergence Rates of Gauss and Clenshaw--Curtis Quadrature for Functions of Limited Regularity
• Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• On the Gaussian Integration of Chebyshev Polynomials

This page was built for publication: An improved error bound on Gauss quadrature