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math.NA2025
A Hybrid Iterative Neural Solver Based on Spectral Analysis for Parametric PDEs
Chen Cui, Kai Jiang, Yun Liu +1
Deep learning-based hybrid iterative methods (DL-HIM) have emerged as a promising approach for designing fast neural solvers to tackle large-scale sparse linear systems. DL-HIM com…
math.NA2025
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media
Chen Cui, Kai Jiang, Shi Shu
In this paper, we propose a deep learning-enhanced multigrid solver for high-frequency and heterogeneous Helmholtz equations. By applying spectral analysis, we categorize the itera…