Abstract
The numerical evaluation of Bessel function integrals may be difficult when the Bessel function is rapidly oscillating in the interval of integration. In the method presented here, the smooth factor of the integrand is replaced by a truncated Chebyshev series approximation and the resulting integral is computed exactly. The numerical aspects of this exact integration are discussed.
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Piessens, R., Branders, M. Modified clenshaw-curtis method for the computation of Bessel function integrals. BIT 23, 370–381 (1983). https://doi.org/10.1007/BF01934465
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DOI: https://doi.org/10.1007/BF01934465