In this paper, a novel fast, high‐order solution procedure referred to as the quadrature sampled pre‐corrected fast‐Fourier transform (QS‐PCFFT) is presented. The method accelerates far‐interaction terms of an integral operator using the discontinuous FFT 1 , which combines Gaussian‐quadrature integration with the FFT. This method is applied to the locally corrected Nyström solution of electromagnetic scattering problems. It is shown that the QS‐PCFFT maintains high‐order convergence and scales asO(N) in memory andO(NlogN) in floating point operations.
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Gedney et al. (2003) studied this question.
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