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Information × Registration Number 0210U003222, 0107U001109 , R & D reports Title Construction of the analitical and numerical methods for solving differential equations, convergence and stability of the branched continued fractions popup.stage_title Head Kostrobiy Petro Petrovych, Registration Date 27-01-2010 Organization Lviv Polytechnic National University popup.description2 The correct solvability of the Cauchy problem for the linear parabolic system of equations with degenerations and the local solvability for the corresponding Cauchy problem of a quasylinear system are justificated. The compact difference schemes of high accuracy order for nonlinear boundary value problems on finite intervals and half-axis for ordinary differential equations are constructed and justificated. The fomulas for parameters Hermite splines with exponential and logarithmical links are deduced. The algorthms of balanced approximations for the functions with Hermitian splines are constructed, errors estimates for these approximations are obtained. We construct and investigate the sets of stability to perturbations of branched continued fractions of the general and special form with complex elements. We establish the estimates errors of approximants of branched continued fractions. We construct and investigate expansions of rations hypergeometrics functions into branched continued fractions. Product Description popup.authors Антонова Тамара Миколаївна Гладун Володимир Романович Кутнів Мирослав Володимирович Манзій Олександра Степанівна Мединський Ігор Павлович Пізюр Ярополк Володимирович Смірнов Сергій Володимирович popup.nrat_date 2020-04-02 Close