22 citations · 84 across the 10 of their papers we have counts for
9 papers
New Features in the Second Version of the Cadabra Computer Algebra System
D. S. Kulyabov, A. V. Korolkova, L. A. Sevastianov
In certain scientific domains, there is a need for tensor operations. To facilitate tensor computations,computer algebra systems are employed. In our research, we have been using C…
Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System
D. S. Kulyabov, M. N. Gevorkyan, A. V. Demidova +3
When modeling such phenomena as population dynamics, controllable ows, etc., a problem arises of adapting the existing models to a phenomenon under study. For this purpose, we prop…
Stochastic Runge-Kutta Software Package for Stochastic Differential Equations
M. N. Gevorkyan, T. R. Velieva, A. V. Korolkova +2
As a result of the application of a technique of multistep processes stochastic models construction the range of models, implemented as a self-consistent differential equations, wa…
Operator Approach to the Master Equation for the One-Step Process
M. Hnatich, E. G. Eferina, A. V. Korolkova +2
Presentation of the probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. The procedure of s…
Maxwell's Optics Symplectic Hamiltonian
D. S. Kulyabov, A. V. Korolkova, L. A. Sevastyanov
The Hamiltonian formalism is extremely elegant and convenient to mechanics problems. However, its application to the classical field theories is a difficult task. In fact, you can…
The Method of Constructing Models of Peer to Peer Protocols
A. V. Demidova, A. V. Korolkova, D. S. Kulyabov +1
The models of peer to peer protocols are presented with the help of one-step processes. On the basis of this presentation and the method of randomization of one-step processes desc…
One-Step Stochastic Processes Simulation Software Package
E. G. Eferina, A. V. Korolkova, M. N. Gevorkyan +2
Background. It is assumed that the introduction of stochastic in mathematical model makes it more adequate. But there is virtually no methods of coordinated (depended on structure…
Tensor computations in computer algebra systems
A. V. Korolkova, D. S. Kulyabov, L. A. Sevastyanov
This paper considers three types of tensor computations. On their basis, we attempt to formulate criteria that must be satisfied by a computer algebra system dealing with tensors.…
The simplest geometrization of Maxwell's equations
D. S. Kulyabov, A. V. Korolkova, L. A. Sevastyanov
For research in the field of transformation optics and for the calculation of optically inhomogeneous lenses the method of geometrization of the Maxwell equations seems to be persp…