A learned continuous Lagrangian paired with Euler-Lagrange residual minimization on local patches enables stable long-range forecasting of PDE-governed systems while generalizing across boundary conditions.
Journal of Computational Physics , volume=
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A transformer with prediction-correction and hierarchical super-token merging unifies simulation of six physical dynamics categories on Lagrangian particles and generalizes to unseen conditions.
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Learned Lagrangian Models of PDEs via Euler-Lagrange Residual Minimization
A learned continuous Lagrangian paired with Euler-Lagrange residual minimization on local patches enables stable long-range forecasting of PDE-governed systems while generalizing across boundary conditions.
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WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer
A transformer with prediction-correction and hierarchical super-token merging unifies simulation of six physical dynamics categories on Lagrangian particles and generalizes to unseen conditions.