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- W2600687625 abstract "The paper is concerned with the efficient evaluation of the integral $int^infty_0 f(x)J_n(rx)dx$, where $J_n$ is the Bessel function of index $n$ and $n$ is a nonnegative integer, for a given sequence of values of a real parameter $r$. Two procedures are proposed and compared. One of them consists in a direct generalization of a procedure for the evaluation of of a similar integral with the weight function exp $(irx), which employs the fast Fourier transform. The other approach is based on the construction of a special Gaussian quadrature formula where $J_n$ appears as a weight.The results of the comparison show that the application of the Gaussian formula is much more efficient." @default.
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- W2600687625 date "1986-01-01" @default.
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- W2600687625 title "On numerical evaluation of integrals involving Bessel functions" @default.
- W2600687625 doi "https://doi.org/10.21136/am.1986.104216" @default.
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