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math.NA2025
Error analysis for learning the time-stepping operator of evolutionary PDEs
Ke Chen, Meenakshi Krishnan, Haizhao Yang
Deep neural networks (DNNs) have recently emerged as effective tools for approximating solution operators of partial differential equations (PDEs) including evolutionary problems.…
cs.LG2025
Efficient Kilometer-Scale Precipitation Downscaling with Conditional Wavelet Diffusion
Chugang Yi, Minghan Yu, Weikang Qian +2
Effective hydrological modeling and extreme weather analysis demand precipitation data at a kilometer-scale resolution, which is significantly finer than the 10 km scale offered by…