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Author

Ruoyan Li

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Preprint Aug 2026

Hybrid Lagrangian-Eulerian Model for Lagrangian Fluid Simulation

A Hybrid Lagrangian-Eulerian neural simulator that augments Lagrangian dynamics with an Eulerian representation and substantially suppresses error accumulation is proposed, establishing a new state-of-the-art for accuracy and rollout stability in Lagrangian fluid simulation.

Ruo-Yan Li, Wei Wang, Yi-Zhou Sun · 0 citations
Jul 2026

Generalized Neural Operator for Parametric and Boundary-Value Problems

By formalizing the classical conditions for well-posedness within neural operators, this framework demonstrates the theoretical benefits of explicitly conditioning on PDE parameters and boundary conditions and achieves superior generalization across heterogeneous physical regimes while maintaining strict inference effi...

Ruoyan Li, Yizhou Sun, Wei Wang · 0 citations

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