Abstract
A new method for the calculation of the integrals
is presented. The functionf(x) is approximated by a sum of Chebyshev polynomials. The Chebyshev coefficients are then used to calculate a Neumann series approximation forI 1(m) andI 2(m).
The numerical examples demonstrate that this method is very accurate and efficient.
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Piessens, R., Poleunis, F. A numerical method for the integration of oscillatory functions. BIT 11, 317–327 (1971). https://doi.org/10.1007/BF01931813
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DOI: https://doi.org/10.1007/BF01931813