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nonlinear manifolds 1offline-online decomposition 1parameterized pdes 1reduced-order modeling 1residual-based training 1

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20242026
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math.NA2026

Residual-Driven Lifting Identification for Nonlinear-Manifold Reduced-Order Models of Parametrized Linear PDEs

Francesco A. B. Silva, Jean C. Ragusa, Theron Guo +1

The paper proposes a residual-driven method to train nonlinear-manifold reduced-order models for parametrized linear PDEs by identifying the lifting map without using high‑fidelity…