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Author

Hui Yu

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Preprint Aug 2026

One-Step Evolution for Long-Time Extrapolation: An Error-Bound-Informed and Prior-Guided Neural Residual Framework for Autonomous PDEs

A numerical-prior-guided, physics-constrained method trained without ground-truth trajectory supervision that reduces long-time extrapolation error relative to the numerical prior and outperforms the best competing baseline in each case, thereby improving long-time simulation accuracy across different PDEs without ground-truth trajectory supervision.

Maqun Zhang, Feng Gao, Wankun Chen et al. · 0 citations

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