Abstract
For flows bounded by segments of straight lines and segments of free boundaries, the flow in the pseudo-logarithmic plane was considered in [B.2]. The method described was based on the determination of a fundamental solution possessing a singularity at a point corresponding to a source or a sink. The computation of the fundamental solution requires the evaluation of many terms which are iterated double integrals involving a functionP(?) which appears in the differential equation. The computational aspects of the evaluation of these integrals are discussed in this paper. First a numerical procedure for approximating the functionP(?) by a polynomial is described. Then the approximate evaluation of the iterated double integrals is discussed. This may be accomplished by replacing the integrals by summations over a sufficiently dense set of points or by using special systems such as FORMAC.
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