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Constrained Hamiltonian approach to the Maxwell theory
The most common physical formalisms are the Lagrangian formalism and the Hamiltonian formalism. From the superficial point of view, …
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Essay on the study of the self-oscillating regime in the control system
The authors for a long time have investigated the phenomenon of global synchronization. Specifically, the occur- rence of a …
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Finslerian representation of the Maxwell equations
When the Maxwell equations are geometrized, the Maxwell Lagrangian is usually reduced to the Yang-Mills Lagrangian. In this case, the …
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Numerical analysis of eikonal equation
The Maxwell equations have a fairly simple form. However, finding solutions of Maxwell’s equations is an extremely difficult …
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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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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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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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Functional Integral Approach to the Solution of a System of Stochastic Differential Equations
A new method for the evaluation of the characteristics of the solution of a system of stochastic differential equations is presented. …
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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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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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Approaches to Stochastic Modeling of Wind Turbines
Background. This paper study statistical data gathered from wind turbines located on the territory of the Republic of Poland. The …
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A Geometric Approach to the Lagrangian and Hamiltonian Formalism of Electrodynamics
In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian and Hamiltonian formalisms. …
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