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In this work some mathematical problems of acoustic probing are considered. The most attention is focused on problems of determination of shape of radiating objects. Methods of determination of diffusers characteristics are proposed and discussed.
The article contains an exposition of the basic idea of construction of numerical algorithms based upon the several local approximations by linear polynomials for every sought-for function of dynamic problems of solids. We discuss also some problems of determination of physical and geometrical...
The iterative processes of gradient type for nonlinear equations with differentiable operator satisfying a local condition in the neighborhood of solution are investigated. The theorems on weak and strong convergence of iterations constructed by these methods and their modified analogs are...
M. M. Lavrent'ev method for solving operator equation of the first kind in the Hilbert spaces have been consider. Exact estimates of error for the M.M. Lavrent'ev method have been make. The optimum of the M. M. Lavrent'ev method have been prove.
We study solvability of inverse problems of finding the right-hand side together with a solution itself for vector-valued parabolic equations. The usual boundary conditions are supplemented with the overdetermination conditions which are the values of a solution on some system of surfaces.
The problem of an arbitrary medium probing by use of radiation flux on the bases of the monoenergetic transport equation is considered. The medium is assumed to comprise some bodies, which radiation characteristics differ from ones of the medium. The outgoing radiation density flux is assumed to...
Both adequacy of the mathematical model and accuracy of the initial data define the adequacy of numerical results of the real process. Being the phenomenological model, the model of current water based on one-dimensional Saint-Venant equations has the parameters which cannot be determined within...
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