Výsledky vyhledávání - "S. F. Zaletkin"

Applying the Method of Integration of Ordinary Differential Equations Based on the Chebyshev Series to the Restricted Plane Circular Three-Body Problem

Autor: O. B. Arushanyan, S. F. Zaletkin

Publikováno v: Moscow University Mathematics Bulletin. 76:118-122

An approximate method for solving the Cauchy problem for nonlinear ordinary differential equations of the first order is considered. The method is based on shifted Chebyshev series and the Markov quadrature formula. The technique of automatically div

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::776f058a6821d121b7fb02c7ea92a917
https://doi.org/10.3103/s0027132221030037

Zobrazit plný text záznamu

On the Computation of Approximate Solution to Ordinary Differential Equations by the Chebyshev Series Method and Estimation of Its Error

Autor: O. B. Arushanyan, S. F. Zaletkin

Publikováno v: Moscow University Mathematics Bulletin. 75:204-208

An approximate method for solving the Cauchy problem for nonlinear first-order ordinary differential equations is considered. The method is based on using the shifted Chebyshev series and a Markov quadrature formula. Some approaches are given to esti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2b1fce4a2eeb3278f090a3eeac4db0aa
https://doi.org/10.3103/s0027132220050034

Zobrazit plný text záznamu

On Some Analytic Method for Approximate Solution of Systems of Second Order Ordinary Differential Equations

Autor: S. F. Zaletkin, O. B. Arushanyan

Publikováno v: Moscow University Mathematics Bulletin. 74:127-130

An approach to using Chebyshev series to solve canonical second-order ordinary differential equations is described. This approach is based on the approximation of the solution to the Cauchy problem and its first and second derivatives by partial sums

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1793a3d01cc9ce87e6327030267763cf
https://doi.org/10.3103/s0027132219030057

Zobrazit plný text záznamu

Justification of an Approach to Application of Orthogonal Expansions for Approximate Integration of Canonical Systems of Second Order Ordinary Differential Equations

Autor: S. F. Zaletkin, O. B. Arushanyan

Publikováno v: Moscow University Mathematics Bulletin. 73:111-115

A solvability theorem for a nonlinear system of equations with respect to approximate values of Fourier—Cliebysliev coefficients is proved. This theorem is a theoretical substantiation for the numerical solution of second order ordinary differentia

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bd3d05814585c486a72208a50f9dd060
https://doi.org/10.3103/s0027132218030051

Zobrazit plný text záznamu

Solvability of a system of equations for the Fourier–Chebyshev coefficients when solving ordinary differential equations by the Chebyshev series method

Autor: S. F. Zaletkin, O. B. Arushanyan

Publikováno v: Moscow University Mathematics Bulletin. 72:213-216

A solvability theorem for a system of equations with respect to approximate values of Fourier–Chebyshev coefficients is formulated. This theorem is a theoretical justification for numerical solution of ordinary differential equations using Chebyshe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e5a2eb6e833ce28641030f8174103eb5
https://doi.org/10.3103/s0027132217050072

Zobrazit plný text záznamu

The use of Chebyshev series for approximate analytic solution of ordinary differential equations

Autor: S. F. Zaletkin, O. B. Arushanyan

Publikováno v: Moscow University Mathematics Bulletin. 71:212-215

Application of Chebyshev series to solve ordinary differential equations is described. This approach is based on the approximation of the solution to a given Cauchy problem and its derivatives by partial sums of shifted Chebyshev series. The coeffici

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c817e561fd862e0f9bf8a887b6a9adcb
https://doi.org/10.3103/s0027132216050089

Zobrazit plný text záznamu

Application of Chebyshev series to integration of ordinary differential equations with rapidly growing solutions

Autor: S. F. Zaletkin, O. B. Arushanyan, N. I. Volchenskova

Publikováno v: Moscow University Mathematics Bulletin. 70:237-240

A solution method for systems of ordinary differential equations is described. This method is based on the approximation of right-hand sides by partial sums of shifted Chebyshev series. The coefficients of the series are determined using Markov quadr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7d38a74d925333e35ebdd2e647472a5f
https://doi.org/10.3103/s0027132215050113

Zobrazit plný text záznamu

Elektronická kniha

Eleven Papers on Differential Equations

Autor: S. A. Akhmedov, B. V. Bazaliĭ, Yu. M. Berezanskiĭ, V. S. Bondarchuk, Yu. L. Daletskiĭ, A. È. Eremenko, M. V. Fedoryuk, M. L. Gorbachuk, G. A. Iosif′yan, V. A. Kutovoĭ, V. F. Lazutkin, O. A. Oleĭnik, V. Yu. Shelepov, I. N. Tavkhelidze, S. F. Zaletkin

The papers in this volume, like those in the previous one, have been selected, translated, and edited from publications not otherwise translated into English under the auspices of the AMS-ASL-IMS Committee on Translations from Russian and Other Forei

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání