Abstract
A method for rapid calculation of the response functions φN is presented for a Dirichlet problem of the Laplace equation in a rectangular domain. The series for φN consists of N terms (N is the total number of sampling points for the boundary value). If N is set equal to an integral power of two and the series is modified so that it contains 2N terms, the algorithm of fast Fourier transform is applied to this series. Further, a convenient method is described, by which a set of φN can produce other sets of φN. It is shown that the computing time for obtaining the solutions is greatly reduced.
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