Sustainable Development Goals
Abstract/Objectives
Introduction to the mathematical properties of numerical methods and their applications in computational science and engineering. Study and use of numerical methods for solutions of linear systems of equations, non-linear least-squares data fitting, numerical integration of multi dimensional, non-linear equations and systems of initial value ordinary differential equations.
Results/Contributions

The Integration of Numerical Analysis and SDGs Goals

Numerical analysis is a discipline that studies numerical computation methods, widely applied in fields such as engineering, science, economics, and environmental research. When combined with the **United Nations Sustainable Development Goals (SDGs)**, this discipline can become a powerful tool for addressing global challenges. Numerical analysis provides precise computational methods that allow us to manage resources more effectively, improve environmental protection strategies, and enhance technological innovation to promote sustainable development.

Firstly, numerical analysis plays a key role in **climate change and environmental protection (SDG 13, 14, 15)**. In this course, we learned the Finite Difference Method (FDM) to solve ordinary differential equations, which provides scientists with strong tools to simulate climate change trends, predict extreme weather events, and analyze issues such as ocean pollution and forest degradation. Additionally, numerical optimization techniques can help find the most effective environmental policies, such as reducing carbon emissions or increasing the utilization of renewable energy, which are crucial for addressing global warming and environmental sustainability.

In the area of sustainable cities and infrastructure (SDG 9, 11), numerical analysis also plays an important role. For example, the combination of numerical linear algebra and machine learning learned in the course can be used for traffic flow prediction and optimization of intelligent traffic light systems, thus reducing urban congestion and lowering energy consumption. Moreover, numerical simulation techniques have wide applications in urban planning and structural analysis, which can enhance the safety and durability of infrastructure, ensuring urban development aligns with sustainable principles.

In summary, numerical analysis provides strong technical support for the realization of SDGs goals. Through numerical computation and data analysis, we can gain a more accurate understanding of global challenges and design effective solutions to drive humanity towards a more sustainable future.

Keywords
solve linear systemsinterpolationnumerical integrationnumercial methods for ODE,numerical differentiation Root finding
References
1.

Contact Information
朱家杰老師
ccchu@math.nthu.edu.tw