Project-based learning in training IT-personnel for the digital economy [PDF]
The purpose of the study is to modernize IT personnel training to enhance the development of the digital economy by means of project-based learning methods. The objectives of the study are to harmonize the educational process with the needs of production
Balandin Dmitry+2 more
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Monte Carlo solution of heat conductivity problems with quadratic nonlinearity on the boundary of domain [PDF]
In this work, we study the approach connected with branching Markov processes. Branching Markov random processes are created to solve boundary-value problems (BVR) with polynomial nonlinearities.
Rasulov Abdujabar+2 more
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Stability analysis of the coexistence equilibrium of a balanced metapopulation model
We analyze the stability of a unique coexistence equilibrium point of a system of ordinary differential equations (ODE system) modelling the dynamics of a metapopulation, more specifically, a set of local populations inhabiting discrete habitat patches ...
Shodhan Rao+2 more
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Incorporating Unmodeled Dynamics Into First-Principles Models Through Machine Learning
First-principles modeling of dynamical systems is a cornerstone of science and engineering and has enabled rapid development and improvement of key technologies such as chemical reactors, electrical circuits, and communication networks.
Ward Quaghebeur+2 more
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Special Issue “Statistical Data Modeling and Machine Learning with Applications II”
Currently, we are witnessing rapid progress and synergy between mathematics and computer science [...]
Snezhana Gocheva-Ilieva+2 more
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Modelling line edge roughness in periodic line-space structures by Fourier optics to improve scatterometry [PDF]
In the present paper, we propose a 2D-Fourier transform method as a simple and efficient algorithm for stochastical and numerical studies to investigate the systematic impacts of line edge roughness on light diffraction pattern of periodic line-space ...
Gross H.+5 more
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Nonlinear Inverse Problems for Equations with Dzhrbashyan–Nersesyan Derivatives
The unique solvability in the sense of classical solutions for nonlinear inverse problems to differential equations, solved for the oldest Dzhrbashyan–Nersesyan fractional derivative, is studied.
Vladimir E. Fedorov+2 more
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On Local Time for Telegraph Processes
The article consists of an introduction into the theory of passage times associated with telegraph processes. Local time for the telegraph process is defined and analysed. We provide some limited results for telegraphic local times.
Nikita Ratanov, Mikhail Turov
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On Local Unique Solvability for a Class of Nonlinear Identification Problems
Nonlinear identification problems for evolution differential equations, solved with respect to the highest-order Dzhrbashyan–Nersesyan fractional derivative, are studied.
Vladimir E. Fedorov+2 more
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Analytic Resolving Families for Equations with the Dzhrbashyan–Nersesyan Fractional Derivative
In this paper, a criterion for generating an analytic family of operators, which resolves a linear equation solved with respect to the Dzhrbashyan–Nersesyan fractional derivative, via a linear closed operator is obtained.
Vladimir E. Fedorov+2 more
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