Harnessing AI for Inverse Partial Differential Equation Problems: Past, Present, and Prospects
The paper discusses the application of artificial intelligence in solving inverse partial differential equation (PDE) problems, which are crucial in various scientific fields. It categorizes these problems into inverse problems, inverse design, and control problems, providing a review of recent methodologies and applications. The authors also highlight future challenges and prospects in this area, emphasizing the transformative impact of AI on traditional approaches.
- ▪Inverse PDE problems are significant in fields such as medical imaging, geophysics, and materials science.
- ▪The paper categorizes inverse PDE problems into three main areas: inverse problems, inverse design, and control problems.
- ▪The authors review state-of-the-art approaches and summarize applications across various scientific and industrial domains.
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Computer Science > Artificial Intelligence arXiv:2605.16966 (cs) [Submitted on 16 May 2026] Title:Harnessing AI for Inverse Partial Differential Equation Problems: Past, Present, and Prospects Authors:Zhentao Tan, Yuze Hao, Boyi Zou, Mingsheng Long, Yi Yang, Gang Bao View a PDF of the paper titled Harnessing AI for Inverse Partial Differential Equation Problems: Past, Present, and Prospects, by Zhentao Tan and 5 other authors View PDF HTML (experimental) Abstract:Solving inverse partial differential equation (PDE) problems is a fundamental topic in scientific research due to its broad significance across a wide range of real-world applications.
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