28 citations · 173 across the 35 of their papers we have counts for
6 papers · 1 filter
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…
Languages for modeling the RED active queue management algorithms: Modelica vs. Julia
Anna Maria Yu. Apreutesey, Anna V. Korolkova, Dmitry S. Kulyabov
This work is devoted to the study of the capabilities of the Modelica and Julia programming languages for the implementation of a continuously discrete paradigm in modeling hybrid…
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…
Finslerian representation of the Maxwell equations
Dmitry S. Kulyabov, Anna V. Korolkova, Tatyana R. Velieva +1
When the Maxwell equations are geometrized, the Maxwell Lagrangian is usually reduced to the Yang-Mills Lagrangian. In this case, the effective quadratic metric, usually correspond…