Abstract
We solve the problems of numerical-analytical representation of the solution of an equation describing the dynamic object and its measurable output, as well as optimal computation of the values of continuous linear functionals (numerical characteristics) of measurable functions based on incorrect data containing not only fluctuation error but also singular interference. The method provides the maximum possible decomposition of computational procedures, does not require to carry out traditional linearization operations and the choice of initial approximations, and also is not related to the computation of spectral coefficients in finite linear combinations (with given basic functions) that describe integral curves, measurable functions, and singular interference.
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