On choosing the points in product integration

DOI10.1063/1.524552zbMath0457.65009OpenAlexW1965801414MaRDI QIDQ3906978

Ian H. Sloan

Publication date: 1980

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524552

zbMATH Keywords

convergence resultsproduct-integration

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (8)

Product integration of piecewise continuous integrands based on cubic spline interpolation at equally spaced nodes ⋮ Integral equation method for the continuous spectrum radial Schrödinger equation ⋮ Quadrature Methods for Integral Equations of the Second Kind Over Infinite Intervals ⋮ Analysis of general quadrature methods for integral equations of the second kind ⋮ Mean Convergence of Interpolation at Zeros of Airy Functions ⋮ Some practical aspects in the numerical evaluation of cauchy principal value integrals ⋮ Numerical evaluation of integrals containing a spherical Bessel function by product integration ⋮ Product integration of logarithmic singular integrands based on cubic splines

Cites Work

• On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals: An addendum
• Numerical solution of integral equations of mathematical physics, using Chebyshev polynomials
• Product-integration with the Clenshaw-Curtis and related points: Convergence properties
• Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
• Product-integration rules and their convergence
• On the numerical evaluation of singular integrals
• The convergence of product integration rules
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• The application of approximate product-integration to the numerical solution of integral equations
• Approximate product-integration

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