Rudn5-100

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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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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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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Implementation Difficulties Analysis of Stochastic Numerical Runge-Kutta Methods
This article discusses stochastic numerical methods of Runge-Kutta methods with weak and strong convergences for systems of stochastic …
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The Criteria for the Study of Occurrence of Self-Oscillation Mode of Active Traffic Management Module
In data networks, a negative phenomenon such as global synchronization can occur. It manifests itself in the form of auto-oscillations, …
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Markov-modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms
The article is devoted to the application of Markov modulated arrival processes (Markov modulated Poisson process — MMPP, Markov …
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An Approach to Invistigate the Regions of Self-oscillations
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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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Implementation of Diagram Technique for Statistical Systems in Sympy
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The Construction of the SDE for Modeling Wind Speed for Wind Power Plants
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