28 citations · 78 across the 15 of their papers we have counts for
22 papers
Computer algebra in Julia
Dmitry S. Kulyabov, Anna V. Korolkova
Recently, the place of the main programming language for scientific and engineering computations has been little by little taken by Julia. Some users want to work completely within…
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…
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,…
Practical application of the multi-model approach in the study of complex systems
Anna V. Korolkova, Dmitry S. Kulyabov, Michal Hnatič
Different kinds of models are used to study various natural and technical phenomena. Usually, the researcher is limited to using a certain kind of model approach, not using others…
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…