A hybrid solver-neural framework achieves global error O(τ^γ ln(1/τ)) for nonlinear dispersive equations by training a lightweight network on the residual defect inside the solver loop while preserving uniform stability.
Alexander Ostermann, Fr´ ed´ eric Rousset, and Katharina Schratz
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Hybrid Iterative Neural Low-Regularity Integrator for Nonlinear Dispersive Equations
A hybrid solver-neural framework achieves global error O(τ^γ ln(1/τ)) for nonlinear dispersive equations by training a lightweight network on the residual defect inside the solver loop while preserving uniform stability.