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Information × Registration Number 0205U002160, 0103U001933 , R & D reports Title The numerical solution of evolutionary problems and the self-consistent problems of the potential theory by the integrated equation method. popup.stage_title Head Chapko Roman, Registration Date 02-02-2005 Organization Ivan Franko Lviv National University popup.description2 The report on NDR: 120 with., 20 fig., 20 tab., 54 sources. Object of research - direct and return evolutionary problems, limiting problems of the theory of potential, Fredholm integral equations of the first kind with weak feature in a nucleus, Dirihle's problem for Puasson equation in a case разомкнутых липшицевых surfaces. The purpose of work - creation and a substantiation of numerical methods for the decision of direct and return evolutionary problems of mechanics and physics with the help of the boundary integrated equations, and also the boundary and self-coordinated problems of the theory of potential in essentially spatial formulation. Methods of researches - the boundary integrated equations of different types and dimensions, transformation Лагерра, Green's function. Numerical decisions for non-stationary problems are constructed: an evolutionary problem of distribution of gravitational waves in the channel with a free surface; problems of heat conductivity with non-uniform inclusions; problems of advection - diffusion; return boundary problems of heat conductivity. Existence and uniqueness of the decision of problem Дирихле for equation Пуассона in a case разомкнутых липшицевых surfaces is investigated; the approached circuits of the decision of the integrated equations with weak feature in a nucleus are constructed. THE INTEGRATED EQUATIONS, NON-STATIONARY PROBLEMS, DIRECT AND RETURN EVOLUTIONARY PROBLEMS, EQUATION СТОКСА, GRAVITATIONAL WAVES, PROBLEM ДИРИХЛЕ, THE SELF-COORDINATED PROBLEM, EQUATION ПУАССОНА, SPATIAL ELECTROSTATIC FIELDS, ELECTRIC CHARGES, ELECTRONIC BUNCHES, SPATIAL CHARGE.5635 Product Description popup.authors popup.nrat_date 2020-04-02 Close