On June 2, the Tsinghua News Network reported that partial differential equations (PDEs), which are a fundamental mathematical tool for describing changes in complex physical systems, underpin numerical simulations and engineering designs across various fields, including aerospace, advanced manufacturing, energy equipment, and biomedical engineering. While traditional numerical methods have achieved notable success, they still encounter challenges such as high computational costs, lengthy solution times, and difficulties in integrating data with physical principles when dealing with complex geometries, strong nonlinearities, multi-scale phenomena, multi-physics fields, and high-dimensional parameter spaces. In recent years, the deep integration of artificial intelligence (AI) and scientific computing has given rise to a new paradigm known as AI for Science, which is driving profound transformations in scientific research. Among these advancements, the use of AI methods to solve partial differential equations has emerged as a research hotspot.
