Numerical evaluation of integrals containing a spherical Bessel function by product integration

DOI10.1063/1.525061zbMath0458.65009OpenAlexW2074661394MaRDI QIDQ3908377

William C. Parke, D. R. Lehman, Leonard C. Maximon

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525061

zbMATH Keywords

rate of convergencerecurrence relationproduct integrationquadratureClenshaw-Curtistest integralsintegrals containing a spherical Bessel function

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

Weakly convergent expansions of a plane wave and their use in Fourier integrals ⋮ Infinite integrals involving Bessel functions by contour integration

Cites Work

• Product integration with the Clenshaw-Curtis points: Implementation and error estimates
• A method for numerical integration on an automatic computer
• Comparison of some methods for evaluating infinite range oscillatory integrals
• On choosing the points in product integration
• The application of approximate product-integration to the numerical solution of integral equations

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