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Information × Registration Number 0205U002161, 0103U001924 , R & D reports Title The construction of new numerical methods for solving problems of mathematical analyses and differential equations popup.stage_title Head Tsegelyk Hryhoriy, Registration Date 02-02-2005 Organization Ivan Franko Lviv National University popup.description2 The convergence and calculating stability of the extrapolaing method of majorant type of numerical solving the Cauchy problem for ordinary differential equations of the first order has been proved. The Non-Classical Newton Majorant has been used for the approximation of derivative and construction a new numerical methods of solving the Cauchy problem for ordinary differential equations. The convergence and calculating stability of the method has deen proved. The Non-Classical Newton Majorant and Diagrams has been used for the construction of a new numerical method of solving, the Cauchy problem for ordinary differential equation of the quadric order; for the construction of numerical methods for optimization nondifferential and transcendenti equations; for the construction of numerical method of solving the algebraic and transcendenti equations. A new approach for Construction Non-Classical Newton Majorant functions given tabularly has been used for construction a new interpolating method of numericalsolving the Cauchy problem for ordinary differential equations. The convergence of method has been proved.5635 Product Description popup.authors popup.nrat_date 2020-04-02 Close