[Institute of Computational and Modeling Science]Topics in Numerical Computation

This course focuses on student presentations, Q&A, and discussions, aiming to cultivate students' ability to use numerical methods to explore scientific problems while integrating the concept of sustainable development. The course content covers the following topics: (1) Poisson's equation: exploring the application of this equation in environmental science, such as simulating groundwater flow or pollutant diffusion to promote the sustainable use of water resources. (2) Time-independent Schrödinger equation: introducing the application of this equation in solid-state physics and materials science to achieve sustainable energy development. (3) Time-dependent Schrödinger equation: explaining the application of this equation in chemical reaction kinetics, such as studying carbon dioxide capture and conversion to mitigate climate change. (4) Gross-Pitaevskii equation for Bose-Einstein condensate: exploring the application of this equation in condensed matter physics, such as developing superconducting materials to enhance energy transmission efficiency. (5) Poisson-Fermi model: introducing the application of this model in biophysics, such as studying biological membrane potentials to promote the sustainable development of biotechnology.