Author(s)

Xiaojing Yu ¹

Affiliation(s)

¹ Sanya College, Sanya, 572000, China

Corresponding Author

Xiaojing Yu

ABSTRACT

This paper explores the application of multiscale modeling in the field of materials science and its integration with linear algebra algorithms. By synthesizing modeling methods across different scales, we propose a comprehensive materials science model that can describe the properties of materials more fully and accurately. Linear algebra algorithms are introduced to optimize the solution process and enhance computational efficiency. In our research, we demonstrate the effectiveness of this method using real material systems and provide a detailed analysis of the results.

KEYWORDS

Multiscale modeling, materials science, linear algebra algorithms, integrated model, computational efficiency

CITE THIS PAPER

Xiaojing Yu, Multiscale Modeling of Materials and Linear Algebra Algorithms. Journal of Materials, Processing and Design (2024) Vol. 8: 114-120. DOI: http://dx.doi.org/10.23977/jmpd.2024.080114.

REFERENCES

[1] Xie Jialiang. Analysis of Linear Algebra Examinations Based on an Improved Apriori Algorithm. Journal of Changchun Normal University, 2022, 41(12): 48-54.
[2] Zhang Ya. Research on Iterative Algorithm for Solving Quaternion Linear Algebraic Equation Systems. Journal of Foshan University of Science and Technology (Natural Science Edition), 2023, 41(02): 30-34.
[3] Wang Ang. Study on the Tensile Failure Behavior of Plain Woven Carbon Fiber Composites. Hot Working Technology, 2023(12): 7.
[4] Deng Weihua. Anomalous and Non-ergodic Multiscale Modeling, Analysis and Algorithms. Science in China: Mathematics, 2023, 53(08): 1039-1066.
[5] Tan Zhiyong. Progress and Application of Integrated Macro/Microscale Numerical Analysis in Multiscale Modelling. Strength and Environment, 2023, 50(05): 1-10.
[6] Li Ranran. Block Kaczmarz Algorithm for Solving Large Overdetermined Systems of Linear Equations. Journal of Computational Mathematics of Colleges and Universities, 2021, 43(02): 150-160.

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