Author

Rui Zhang

2 papers indexed here

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Preprint Sep 2026

Physical-Field Reconstruction from Sparse Observations: When Are Diffusion Models Preferable to Deterministic Regression?

Reconstructing physical fields from sparse observations is central to system identification, forecasting, and control, yet sparse measurements generally underdetermine the full field. This makes reconstruction an ill-posed inverse problem rather than simple interpolation. Although many deterministic and generative meth...

Hao Zhou, Rui Zhang, Qi Wang et al. · 0 citations

Review Aug 2026

Large language models for partial differential equation workflows

This work examines how LLMs interact with physical knowledge, numerical methods, and computational feedback to formulate models, implement solution procedures, and guide design and control in LLM-assisted PDE research across three stages, including discovery, solving, and optimization.

Han Wan, Rui Zhang, Hao Sun · 0 citations