Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Sevastianov, Leonid"'
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 23, Iss 1, Pp 36-47 (2023)
A new algorithm for the numerical solution of one-dimensional Cauchy problems and Poisson equations is implemented. The algorithm is based on the collocation method and representation of the solution as an expansion in Chebyshev polynomials. It is pr
Externí odkaz:
https://doaj.org/article/5e0d6bf3e55b4fe7b67c5d116041e710
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 21, Iss 4, Pp 472-488 (2021)
The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov and then was used to study the quality of difference schemes approximating equations in partial derivatives. In th
Externí odkaz:
https://doaj.org/article/62d9a3b45b9444da8585aed0170c30fe
Autor:
Malykh, Mikhail, Sevastianov, Leonid
Difference schemes are considered for dynamical systems $ \dot x = f (x) $ with a quadratic right-hand side, which have $t$-symmetry and are reversible. Reversibility is interpreted in the sense that the Cremona transformation is performed at each st
Externí odkaz:
http://arxiv.org/abs/2104.14507
A practical and simple stable method for calculating Fourier integrals is proposed, effective both at low and at high frequencies. An approach based on the fruitful idea of Levin, to use of the collocation method to approximate the slowly oscillating
Externí odkaz:
http://arxiv.org/abs/2104.03653
Autor:
Lovetskiy, Konstantin P.1 (AUTHOR) lovetskiy-kp@rudn.ru, Sevastianov, Leonid A.1,2 (AUTHOR) hnatic@saske.sk, Hnatič, Michal2,3,4 (AUTHOR), Kulyabov, Dmitry S.2,5 (AUTHOR) kulyabov-ds@rudn.ru
Publikováno v:
Mathematics (2227-7390). Jan2024, Vol. 12 Issue 2, p307. 22p.
A new approach to the construction of difference schemes of any order for the many-body problem that preserves all its algebraic integrals is proposed. We introduced additional variables, namely, distances and reciprocal distances between bodies, and
Externí odkaz:
http://arxiv.org/abs/2007.01170
Computer algebra systems are complex software systems that cover a wide range of scientific and practical problems. However, the absolute coverage cannot be achieved. Often, it is required to create a user extension for an existing computer algebra s
Externí odkaz:
http://arxiv.org/abs/2005.05261
The most common physical formalisms are the Lagrangian formalism and the Hamiltonian formalism. From the superficial point of view, they are one and the same, but rewritten in other terms. However, it seems that the Hamiltonian formalism has a richer
Externí odkaz:
http://arxiv.org/abs/2003.14307
To construct realistic mathematical models from the first principles, the authors suggest using the stochastization method. In a number of works different approaches to stochastization of mathematical models were considered. In the end, the whole var
Externí odkaz:
http://arxiv.org/abs/1908.04294
Publikováno v:
Mathematics (2227-7390); Sep2024, Vol. 12 Issue 17, p2725, 15p