8 citations · 19 across the 8 of their papers we have counts for
8 papers
On periodic approximate solutions of dynamical systems with a quadratic right-hand side
Mikhail Malykh, Leonid Sevastianov
Difference schemes are considered for dynamical systems with a quadratic right-hand side, which have -symmetry and are reversible. Reversibility is interprete…
Numerical integrating of highly oscillating functions: effective stable algorithms in case of linear phase
Leonid A. Sevastianov, Konstantin P. Lovetskiy, Dmitry S. Kulyabov
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,…
On conservative difference schemes for the many-body problem
Vladimir Gerdt, Mikhail Malykh, Leonid Sevastianov +1
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 var…
Constrained Hamiltonian approach to the Maxwell theory
Dmitry S. Kulyabov, Anna V. Korolkova, Migran N. Gevorkyan +1
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 othe…
Two formalisms of stochastization of one-step models
Dmitry S. Kulyabov, Anna V. Korolkova, Leonid A. Sevastianov
To construct realistic mathematical models from the first principles, the authors suggest using the stochastization method. In a number of works different approaches to stochastiza…
Algorithm for Lens Calculations in the Geometrized Maxwell Theory
D. S. Kulyabov, A. V. Korolkova, L. A. Sevastianov +2
Nowadays the geometric approach in optics is often used to find out media parameters based on propagation paths of the rays because in this case it is a direct problem. However inv…
Approaches to Stochastic Modeling of Wind Turbines
M. N. Gevorkyan, A. V. Demidova, Robert A. Sobolewski +4
Background. This paper study statistical data gathered from wind turbines located on the territory of the Republic of Poland. The research is aimed to construct the stochastic mode…
The Stochastic Processes Generation in OpenModelica
M. N. Gevorkyan, A. V. Demidova, A. V. Korolkova +2
Background: Component-based modeling language Modelica (OpenModelica is open source implementation) is used for the numerical simulation of complex processes of different nature re…