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Paper · arXiv

AutoPDEBench: Benchmarking LLM Auto-Research for Neural PDE Solver Design

Partial differential equations (PDEs) are essential for modeling complex physical systems, and neural solvers have recently emerged as powerful data-driven tools for numerically solving them. However, existing neural solvers struggle with domain-specific challenges, such as varying parameters and high-speed flows, necessitating specialized architectures. Manually designing these specialized solver architectures is a highly iterative, time-consuming process requiring deep expertise, creating a significant bottleneck in scientific discovery. We propose leveraging autonomous AI research agents to automate the synthesis of specialized solvers. To support this, we introduce AutoPDEBench, a ben...

AuthorsRuoyan Li, Wei Wang, Yizhou Sun
Primary categorycs.CE
Published26 September 2026
Last updated at source26 September 2026
cs.CEcs.AI
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