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.
SIAM Journal on Numerical Analysis , volume=
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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.