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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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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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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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Application of Functional Integrals to Stochastic Equations
Representing a probability density function (PDF) and other quantities describing a solution of stochastic differential equations by a …
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Modelica-based TCP simulation
For the study and verification of our mathematical model of telecommunication systems a discrete simulation model and a continuous …
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Spinor Representation of Maxwell's Equations
Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Thus, …
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The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms
The article is devoted to the application of Markov modu- lated arrival processes (Markov modulated Poisson process — MMPP, Markov …
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Diagram Representation for the Stochastization of Single-Step Processes
Background. By the means of the method of stochastization of one-step processes we get the simplified mathematical model of the …
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Numerical and Analytical Modeling of Guided Modes of a Planar Gradient Waveguide
The mathematical model of light propagation in a planar gradient optical waveguide consists of the Maxwell’s equations …
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The Stochastic Processes Generation in OpenModelica
This paper studies program implementation problem of pseudo-random number generators in OpenModelica. We give an overview of generators …
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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 …
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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 …
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An Application of Computer Algebra System Cadabra to Scientific Problems of Physics
In this article we present two examples solved in a new problem-oriented computer algebra system Cadabra. Solution of the same examples …
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Application of Two-Spinor Calculus in Quantum Mechanical and Field Calculations
This paper describes Lorentz two-spinors and proposes using them in calculations with Dirac four-spinors and quaternions.
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