Introducing the stochastic Galerkin method in functions approximation depending on the random parameters
| Authors: Khapisov M.Kh. | Published: 03.07.2025 |
| Published in issue: #3(98)/2025 | |
| DOI: DOI: | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: Hermite polynomials, polynomial chaos decomposition, stochastic Galerkin method, Simpson method, Cauchy problem, C++, Python | |
Constructing a position domain of the fourth order polynomials with the active coefficient roots
| Authors: Sorokvashin A.V., Kedrovskih G.A., Tatarinova A.S. | Published: 14.02.2025 |
| Published in issue: #1(96)/2025 | |
| DOI: DOI: | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: characteristic equation, polynomial, complex roots, discriminant, stability theory, Hurwitz criterion, Vyshnegradsky diagram, aperiodic process | |
Developing methods for verifying the discrete-event model elements
| Authors: Gorokhova A.S., Zavadskaya L.A., Novichkova M.A. | Published: 08.10.2024 |
| Published in issue: #4(93)/2024 | |
| DOI: DOI: | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: discrete-event system, finite automata, robot group, Petri nets, reachability tree, behavior specification, logical string sequence structure, verification | |
Kinetic approach application in forecasting the stock closing prices
| Authors: Saykova E.R | Published: 19.09.2024 |
| Published in issue: #4(93)/2024 | |
| DOI: DOI: | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: non-stationary time series, distribution function sample density, Liouville equation, time series values forecasting, kinetic approach to stock closing price forecasting Received 07.05.2024 | |
Analysis of the Jacobi and Seidel methods convergence
| Authors: Volkov N.S. | Published: 01.05.2024 |
| Published in issue: #2(91)/2024 | |
| DOI: DOI: | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: iterative methods, system of linear algebraic equations, simple iteration method, Jacobi method, Seidel method, quadratic equation, third degree algebraic equation, real matrix | |
Software implementation of algorithms for the t-spline construction and local refinement
| Authors: Fedotov D.Yu. | Published: 26.02.2024 |
| Published in issue: #1(90)/2024 | |
| DOI: DOI: | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: spline, NURBS, T-spline, algorithm, geometric simulation, computer geometry | |
Polynomial chaos and regression models comparison based on the Kolmogorov — Gabor polynomials
| Authors: Pham Quoc Viet | Published: 27.08.2023 |
| Published in issue: #8(85)/2023 | |
| DOI: DOI: 10.18698/2541-8009-2023-8-926 | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: рolynomial chaos, Askey — Wiener scheme, elastic network, non-intrusive spectral projection, polynomial neural network, method of the arguments group accounting, Kolmogorov — Gabor polynomials, Ishigami function | |
Comparative analysis of the difference and probabilistic computational models to study partial differential equation of the elliptical type
| Authors: Kryukov S.A. | Published: 19.05.2023 |
| Published in issue: #5(82)/2023 | |
| DOI: DOI: 10.18698/2541-8009-2023-5-894 | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: temperature field simulation, elliptic equation, difference scheme, particle random walk, Dirichlet boundary conditions, probabilistic method, difference method | |
Introducing the theory of residues to approximate complex roots of the polynomials of the arbitrary order
| Authors: Abramov N.K. | Published: 19.05.2023 |
| Published in issue: #5(82)/2023 | |
| DOI: DOI: 10.18698/2541-8009-2023-5-891 | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: polynomial, complex plane, contour integral, algorithm, root, Simpson’s rule, circle, programming, numerical methods | |
Modeling of the COVID-19 Epidemic Outbreak in Real-World Social Networks
| Authors: Popkova A.P. | Published: 14.11.2022 |
| Published in issue: #10(75)/2022 | |
| DOI: DOI: 10.18698/2541-8009-2022-10-831 | |
| Category: Mathematics | Chapter: Computational Mathematics | |
| Keywords: SIR model, COVID-19, graph, social network, population, pandemic, epidemic modeling, mask mode, self-isolation mode, SIR Model, mask measures, self-isolation measures | |