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A table with double-precision accuracy is constructed for the three-dimensional source potential which occurs in the case of harmonic motion with zero forward-velocity beneath a linearized free surface. To facilitate the numerical integration, the source potential is expressed as the sum of a finite integral and of Bessel and Struve functions. Romberg quadrature is used to evaluate the finite integral, and the Bessel and Struve functions are evaluated by backward recursion.
Jennifer F. Newman (1984) studied this question.