22 citations · 73 across the 15 of their papers we have counts for
15 papers
Asymptote-based scientific animation
Migran N. Gevorkyan, Anna V. Korolkova, Dmitry S. Kulyabov
This article discusses a universal way to create animation using Asymptote the language for vector graphics. The Asymptote language itself has a built-in library for creating anima…
Implementation of hyperbolic complex numbers in Julia language
Anna V. Korolkova, Migran N. Gevorkyan, Dmitry S. Kulyabov
Background: Hyperbolic complex numbers are used in the description of hyperbolic spaces. One of the well-known examples of such spaces is the Minkowski space, which plays a leading…
Using a template engine as a computer algebra tool
Migran N. Gevorkyan, Anna V. Korolkova, Dmitry S. Kulyabov
In research problems that involve the use of numerical methods for solving systems of ordinary differential equations (ODEs), it is often required to select the most efficient meth…
Approaches to the implementation of generalized complex numbers in the Julia language
Migran N. Gevorkyan, Anna V. Korolkova, Dmitry S. Kulyabov
In problems of mathematical physics, to study the structures of spaces using the Cayley-Klein models in theoretical calculations, the use of generalized complex numbers is required…
A modular extension for a computer algebra system
Migran N. Gevorkyan, Anna V. Korolkova, Dmitry S. Kulyabov +1
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…
A practical approach to testing random number generators in computer algebra systems
Migran N. Gevorkyan, Dmitry S. Kulyabov, Anastasia V. Demidova +1
This paper has a practical aim. For a long time, implementations of pseudorandom number generators in standard libraries of programming languages had poor quality. The situation st…
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…
Numerical analysis of eikonal equation
D. S. Kulyabov, A. V. Korolkova, T. R. Velieva +1
The Maxwell equations have a fairly simple form. However, finding solutions of Maxwell's equations is an extremely difficult task. Therefore, various simplifying approaches are oft…
Issues in the software implementation of stochastic numerical Runge-Kutta
Migran N. Gevorkyan, Anastasia V. Demidova, Anna V. Korolkova +1
This paper discusses stochastic numerical methods of Runge-Kutta type with weak and strong convergences for systems of stochastic differential equations in Itô form. At the beginni…
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…
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…
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…
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…
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…