Abstract
The method of discrete (or auxiliary) sources (MDS) proposed by V.D. Kupradze [1] and somewhat later by K. Yasuura [2], which was advanced further in a number of papers (see, e.g., [3, 4]), is one of the most efficient methods in solving boundary value problems for the Helmholtz equation. The method has been applied to a wide range of problems, although in some cases, the algorithms developed on the basis of the method were found to be unstable. This fact is explained in [5, 6], where a linkage between the method of auxiliary sources and the problem of analytic continuation for a wave field is established.
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