Cached Gaussian elimination for simulating Stokes flow on domains with repetitive geometry

Ding, Ounan; Schroeder, Craig

doi:10.1016/j.jcp.2020.109812

Cited by 3 publications

(1 citation statement)

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“…Several methods that are often used to solve systems of linear equations are the Gaussian and Gauss-Jordan elimination methods. Research on this method has been carried out, including research on (Baier et al, 2020;Ding and Schroeder, 2020;Schork and Gondzio, 2020;Pan and Zhao, 2017;Alonso et al, 2010;Geng et al, 2013). Then some research on Gauss-Jordan elimination can be seen in (David, 2016;Ma and Li, 2017;Anzt et al, 2018;Sheng, 2018), Based on the explanation and research, this paper focuses on balancing chemical reactions using a system of linear equations with the Cramer method and Gauss-Jordan elimination to see that a system of linear equations can be used to find the coefficient of each compound in chemical reaction equations.…”

Section: Introductionmentioning

confidence: 99%

Application of the Concept of Linear Equation Systems in Balancing Chemical Reaction Equations

Johar

2020

ijgor

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This study discusses the equalization of chemical reactions using a system of linear equations with the Gaussian and Gauss-Jordan elimination. The results show that there is a contradiction in the existing methods for balancing chemical reactions. This study also aims to criticize several studies that say that the equalization of the reaction coefficient can use a system of linear equations. In this paper, the chemical equations were balanced by representing the chemical equation into systems of linear equations. Particularly, the Gauss and Gauss-Jordan elimination methods were used to solve the mathematical problem with this method, it was possible to handle any chemical reaction with given reactants and products.

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