Abstract
Algorithms of the discrete singularity method for computing technologies are considered. The algorithms transform discrete integral representations with discontinuous functions and change the order of singularities in the system of discrete singularities. The results of transformation allow us to correctly calculate the values of the functions and their derivatives under parametric dependence of characteristic functions on time. The algorithms of computing technologies are applicable for both two-dimensional and three-dimensional hydrodynamic problems of non-stationary detached flow.
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