Dmitry S. Kulyabov
Dmitry S. Kulyabov
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New Features in the Second Version of the Cadabra Computer Algebra System
In certain scientific domains, there is a need for tensor operations. To facilitate tensor computations, computer algebra systems are …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korol'kova
,
Leonid Antonovich Sevast'yanov
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Statistically Significant Comparative Performance Testing of Julia and Fortran Languages in Case of Runge–Kutta Methods
In this paper we compare the performance of classical Runge–Kutta methods implemented in Fortran and Julia languages. We use the …
Migran Nelsonovich Gevorkyan
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
,
Konstantin Petrovich Lovetskiy
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Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System
When modeling such phenomena as population dynamics, controllable flows, etc., a problem arises of adapting the existing models to a …
Migran Nelsonovich Gevorkyan
,
Anastasiya Vyacheslavovna Demidova
,
Tatyana Refatovna Velieva
,
Anna Vladislavovna Korol'kova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevast'yanov
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Two Formalisms of Stochastization of One-Step Models
To construct realistic mathematical models from the first principles, the authors suggest using the stochastization method. In a number …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Leonid Antonovich Sevastianov
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Using two Types of Computer Algebra Systems to Solve Maxwell Optics Problems
To synthesize Maxwell optics systems, the mathematical apparatus of tensor and vector analysis is generally employed. This mathematical …
Dmitry Sergeevich Kulyabov
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Tensor Computations in Computer Algebra Systems
This paper considers three types of tensor computations. On their basis, we attempt to formulate criteria that must be satisfied by a …
Anna Vladislavovna Korol'kova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevast'yanov
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