以识别实气体的室温状态方程为例，对代数方程的退化系统求解进行正则化处理

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED

Computational Mathematics and Mathematical Physics Pub Date : 2024-09-01 DOI:10.1134/s096554252470060x

A. G. Vikulov

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引用次数: 0

摘要

摘要两相区循环的热力学计算需要工作介质的状态方程，该方程被用作带有未知温度函数的病毒式方程。针对未知系数，即温度网格上的病毒式函数值，构建了一个退化代数方程系统。基于正则化方法，开发了一种求解退化方程组的变分迭代算法。为证实该方法的有效性，进行了计算实验。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Regularization of the Solution to Degenerate Systems of Algebraic Equations Exemplified by Identification of the Virial Equation of State of a Real Gas

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Regularization of the Solution to Degenerate Systems of Algebraic Equations Exemplified by Identification of the Virial Equation of State of a Real Gas

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.

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来源期刊

Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.50

自引率

14.30%

发文量

125

审稿时长

4-8 weeks

期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.