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Climode: Climate and weather forecasting with physics-informed neural odes

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Numerical PDE solvers outperform neural PDE solvers

math.NA · 2025-07-28 · conditional · novelty 4.0

DeepFDM, a differentiable finite-difference solver that learns PDE coefficients, achieves 10 to 40 times lower error than FNO, U-Net and ResNet on five scalar time-dependent PDEs in one to three dimensions.

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  • Numerical PDE solvers outperform neural PDE solvers math.NA · 2025-07-28 · conditional · none · ref 12

    DeepFDM, a differentiable finite-difference solver that learns PDE coefficients, achieves 10 to 40 times lower error than FNO, U-Net and ResNet on five scalar time-dependent PDEs in one to three dimensions.