Loading [MathJax]/jax/output/SVG/config.js
Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Model.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskoe modelirovanie, 2011, Volume 23, Number 3, Pages 75–88 (Mi mm3088)  

This article is cited in 44 scientific papers (total in 44 papers)

Approximation of step functions in problems of mathematical modeling

S. V. Alyukov

South Ural State University
References:
Abstract: New methods of approximation of step functions with estimation of error of the approximation are suggested. The suggested methods do not have any disadvantages of traditional approximations of step functions by means of Furrier series and can be used in problems of mathematical modeling of wide range of processes and systems.
Keywords: step functions, mathematical modeling, approximation, convergence, estimation of error, examples of using.
Received: 21.09.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 5, Pages 661–669
DOI: https://doi.org/10.1134/S2070048211050036
Bibliographic databases:
Document Type: Article
UDC: 51-74
Language: Russian
Citation: S. V. Alyukov, “Approximation of step functions in problems of mathematical modeling”, Mat. Model., 23:3 (2011), 75–88; Math. Models Comput. Simul., 3:5 (2011), 661–669
Citation in format AMSBIB
\Bibitem{Aly11}
\by S.~V.~Alyukov
\paper Approximation of step functions in problems of mathematical modeling
\jour Mat. Model.
\yr 2011
\vol 23
\issue 3
\pages 75--88
\mathnet{http://mi.mathnet.ru/mm3088}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2849298}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 5
\pages 661--669
\crossref{https://doi.org/10.1134/S2070048211050036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928992472}
Linking options:
  • https://www.mathnet.ru/eng/mm3088
  • https://www.mathnet.ru/eng/mm/v23/i3/p75
  • This publication is cited in the following 44 articles:
    1. Approximation Theory and Applications, 2026, 231  crossref
    2. Sergey V. Kuznetsov, “Smooth hyperelastic potentials for bimodular materials: 3D case”, International Journal of Non-Linear Mechanics, 159 (2024), 104597  crossref
    3. Matteo Pelliciari, Stefano Sirotti, Angelo Marcello Tarantino, “A strain energy function for large deformations of compressible elastomers”, Journal of the Mechanics and Physics of Solids, 176 (2023), 105308  crossref
    4. Sergei Aliukov, “Modeling of Rapidly Changing Macroeconomic Processes Based on the Analysis of Jump and Generalized Functions”, Mathematics, 12:1 (2023), 138  crossref
    5. Osintsev V K., Alyukov V S., “Experimental Investigation Into the Exergy Loss of a Ground Heat Pump and Its Optimization Based on Approximation of Piecewise Linear Functions”, J. Eng. Phys. Thermophys., 95:1 (2022), 9–19  crossref  isi
    6. Anatoliy Alabugin, Sergei Aliukov, Tatyana Khudyakova, “Review of Models for and Socioeconomic Approaches to the Formation of Foresight Control Mechanisms: A Genesis”, Sustainability, 14:19 (2022), 11932  crossref
    7. Anatoliy Alabugin, Sergei Aliukov, Tatyana Khudyakova, “Models and Methods of Formation of the Foresight-Controlling Mechanism”, Sustainability, 14:16 (2022), 9899  crossref
    8. Sergei Aliukov, Anatoliy Alabugin, Konstantin Osintsev, “Review of Methods, Applications and Publications on the Approximation of Piecewise Linear and Generalized Functions”, Mathematics, 10:16 (2022), 3023  crossref
    9. Konstantin Osintsev, Sergei Aliukov, “Experimental and Mathematical Investigation of the Thermophysical Properties of Coal–Water Slurries Based on Lignite”, Energies, 15:10 (2022), 3814  crossref
    10. Bondarko V.M., Danilova V M., Chikhman V.N., “Segmentation of Visual Images: Experimental Data and Modeling”, J. Opt. Technol., 88:12 (2021), 692–699  crossref  isi
    11. Osintsev K., Aliukov S., Prikhodko Yu., “A Case Study of Exergy Losses of a Ground Heat Pump and Photovoltaic Cells System and Their Optimization”, Energies, 14:8 (2021), 2077  crossref  isi  scopus
    12. Osintsev K., Aliukov S., Shishkov A., “Improvement Dependability of Offshore Horizontal-Axis Wind Turbines By Applying New Mathematical Methods For Calculation the Excess Speed in Case of Wind Gusts”, Energies, 14:11 (2021), 3085  crossref  isi
    13. Alabugin A., Osintsev K., Aliukov S., “Methodological Foundations For Modeling the Processes of Combining Organic Fuel Generation Systems and Photovoltaic Cells Into a Single Energy Technology Complex”, Energies, 14:10 (2021), 2816  crossref  isi
    14. Alabugin A., Aliukov S., Osintsev K., “Combined Approach to Analysis and Regulation of Thermodynamic Processes in the Energy Technology Complex”, Processes, 9:2 (2021), 204  crossref  isi
    15. Aliukov S., Osintsev K., “Mathematical Modeling of Coal Dust Screening By Means of Sieve Analysis and Coal Dust Combustion Based on New Methods of Piece-Linear Function Approximation”, Appl. Sci.-Basel, 11:4 (2021), 1609  crossref  isi
    16. Anatoly Alabugin, Sergei Aliukov, “Modeling Regulation of Economic Sustainability in Energy Systems with Diversified Resources”, Sci, 3:1 (2021), 15  crossref
    17. Osintsev K., Aliukov S., Prikhodko Yu., “New Methods For Control System Signal Sampling in Neural Networks of Power Facilities”, IEEE Access, 8 (2020), 192857–192866  crossref  isi  scopus
    18. Alabugin A.A., Aliukov V S., Osintsev V K., “Approximation Methods For Analysis and Formation of Mechanisms For Regulating Heat and Mass Transfer Processes in Heat Equipment Systems”, Int. J. Heat Technol., 38:1 (2020), 45–58  crossref  isi
    19. A.A. Alabugin, M. Zhao, Y. Zhou, 2020 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), 2020, 1  crossref
    20. K.V. Osintsev, L. Yang, G. Zang, 2020 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), 2020, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
    Statistics & downloads:
    Abstract page:1475
    Full-text PDF :958
    References:101
    First page:36
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025