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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 7, Pages 1112–1127
DOI: https://doi.org/10.31857/S0044466924070024 (Mi zvmmf11782) 		 
This article is cited in 1 scientific paper (total in 1 paper)

General numerical methods

Regularization of the solution to degenerate systems of algebraic equations exemplified by identification of the virial equation of state of a real gas

A. G. Vikulov

Moscow Aviation Institute, 125993, Moscow, Russia
Full-text PDF Citations (1)
DOI: https://doi.org/10.31857/S0044466924070024
Abstract: Thermodynamic calculation of a cycle in a two-phase region requires an equation of state of the working medium, which is used as a virial equation with unknown temperature functions. A degenerate system of algebraic equations has been constructed for unknown coefficients, which are the values of virial functions on a temperature mesh. Based on the regularization method, a variational-iterative algorithm for solving a degenerate system of equations has been developed. A computational experiment to confirm the effectiveness of the method was carried out.
Key words: system of algebraic equations, singular matrix, regularization method, equation of state, real gas, virial coefficients.
Funding agency Grant number
Russian Science Foundation 23-49-10060
This work was supported by the Russian Science Foundation (project code 23-49-10060).
Received: 06.06.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 7, Pages 1381–1395
DOI: https://doi.org/10.1134/S096554252470060X
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: A. G. Vikulov, “Regularization of the solution to degenerate systems of algebraic equations exemplified by identification of the virial equation of state of a real gas”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1112–1127; Comput. Math. Math. Phys., 64:7 (2024), 1381–1395
Citation in format AMSBIB
\Bibitem{Vik24}
\by A.~G.~Vikulov
\paper Regularization of the solution to degenerate systems of algebraic equations exemplified by identification of the virial equation of state of a real gas
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 7
\pages 1112--1127
\mathnet{http://mi.mathnet.ru/zvmmf11782}
\crossref{https://doi.org/10.31857/S0044466924070024}
\elib{https://elibrary.ru/item.asp?id=75206866}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 7
\pages 1381--1395
\crossref{https://doi.org/10.1134/S096554252470060X}
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    • This publication is cited in the following 1 articles:
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