On choosing the points in product integration

Ian H. Sloan

Type: Article

Publication Date: 1980-05-01

Citations: 25

DOI: https://doi.org/10.1063/1.524552

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Locations

Journal of Mathematical Physics - View

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Works That Cite This (18)

Action	Title	Year	Authors
+	Product integration of logarithmic singular integrands based on cubic splines	1984	Ayse Alaylioglu D. S. Lubinsky D. Eyre
+	Product integration of piecewise continuous integrands based on cubic splineinterpolation at equally spaced nodes	1988	Catterina Dagnino Annamaria Palamara Orsi
+ PDF Chat	Quadrature Methods for Integral Equations of the Second Kind Over Infinite Intervals	1981	Ian H. Sloan
+ PDF Chat	Quadrature Formulas for Functions with Poles Near the Interval of Integration	1986	Giovanni Monegato
+	Mean Convergence of Interpolation at Zeros of Airy Functions	2018	D. S. Lubinsky
+ PDF Chat	Singularity subtraction in the numerical solution of integral equations	1981	P. M. Anselone
+	Properties of Interpolatory Product Integration Rules	1982	Ian H. Sloan William E. Smith
+	Integral Equation Method for the Continuous Spectrum Radial Schrödinger Equation	1997	R. A. Gonzales Jens Eisert I. Koltracht Michael Neumann George Rawitscher
+	Product Integration in the Presence of a Singularity	1984	Philip Rabinowitz Ian H. Sloan
+	The Convergence of Noninterpolatory Product Integration Rules	1987	Philip Rabinowitz

Works Cited by This (20)

Action	Title	Year	Authors
+	Clenshaw-Curtis quadrature with a weighting function	1972	R. Kussmaul
+	Product-integration with the Clenshaw-Curtis and related points	1978	Ian H. Sloan William E. Smith
+ PDF Chat	Gauss type quadrature rules for Cauchy principal value integrals	1979	David Elliott D. F. Paget
+	Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals	1972	D. B. Hunter
+	On the numerical evaluation of singular integrals	1978	Ian H. Sloan
+	On the convergence of a quadrature rule for evaluating certain cauchy principal value integrals: An addendum	1975	David Elliott D. F. Paget
+	Numerical solution of integral equations of mathematical physics, using Chebyshev polynomials	1976	Robert Piessens Maria Branders
+	An algorithm for the numerical evaluation of certain Cauchy principal value integrals	1972	D. F. Paget David Elliott
+	The convergence of product integration rules	1978	David Elliott D. F. Paget
+	Product-integration rules and their convergence	1976	David Elliott D. F. Paget