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physics.comp-ph2026
Online reduced-order modeling from primal solver trajectories for PDE-constrained optimization
Zhe Lu, Wenbo Cao, Weiwei Zhang
Repeated high-fidelity state and gradient evaluations make large-scale PDE-constrained optimization computationally expensive. Reduced-order modeling provides a natural way to redu…
physics.comp-ph2026
Verified residual-specific explicit derivative kernels for physics-informed learning and discretized PDE adjoints
Wenbo Cao, Zhe Lu, Weiwei Zhang
Derivative computation is central to scientific computing, from space-time derivatives in physics-informed neural networks (PINNs) to residual Jacobian actions and discrete-adjoint…