Rfbr16-07-00556

Statistically significant performance testing of Julia scientific programming language
In this article, we compare the support for SIMD instructions for Julia and Fortran. The comparison is carried out according to the …
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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 …
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Parametric study of the control system in the TCP network
Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks so the …
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Software Package Development for the Active Traffic Management Module Self-oscillation Regime Investigation
Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks. The …
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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 …
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Pseudo-random number generator based on neural network
In this paper we consider pseudo-random uniformly distributed number generators, such as xorshift and KISS. We also provide C++ …
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Software Package For The Active Queue Management Module Model Verification
Self-oscillation modes in control systems of data transmission networks negatively affect the characteristics of these networks. To …
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Algorithm for Lens Calculations in the Geometrized Maxwell Theory
Nowadays the geometric approach in optics is often used to find out media parameters based on propagation paths of the rays because in …
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Automatic Code Generation for Stochastic Runge–Kutta Methods
In this paper we consider in detail the realization of Runge–Kutta stochastic numerical methods with weak and strong convergence for …
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Software Implementation of the Eikonal Equation
The Maxwell equations have a fairly simple form. However, finding solutions to Maxwell’s equations is an extremely difficult …
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The Riemannian Geometry is not Sufficient for the Geometrization of the Maxwell's Equations
The transformation optics uses geometrized Maxwell’s constitutive equations to solve the inverse problem of optics, namely to …
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The Automation of Stochastization Algorithm with Use of SymPy Computer Algebra Library
SymPy computer algebra library is used for automatic generation of ordinary and stochastic systems of differential equations from the …
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Characteristics of Lost and Served Packets for Retrial Queueing System with General Renovation and Recurrent Input Flow
The retrial queuing system with general renovation is under investigation. The mechanism of general renovation with retrials means that …
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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 …
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Issues in the Software Implementation of Stochastic Numerical Runge–Kutta
This paper discusses the application of stochastic Runge-Kutta-like numerical methods with weak and strong convergences for systems of …
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Regularized Computation of Oscillatory Integrals with Stationary Points
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems in optics, electrodynamics, …
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Simple Model of Nonlinear Spin Waves in Graphene Structures
A series of theoretical and experimental works is known which investigated the magnetic properties of graphene structures. This is due, …
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The Methodology of Studying of Active Traffic Management Module Self-oscillation Regime
Self-oscillating modes in computer networks control systems quite negatively affect the characteristics of these networks. The problem …
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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 …
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The approach to investigation of the the regions of self-oscillations
Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks. The …
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