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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
We introduce a residual-driven procedure for training nonlinear-manifold reduced-order models for parametrized linear partial differential equations that, given prescribed latent a…
math.NA2024
An adaptive hierarchical ensemble Kalman filter with reduced basis models
Francesco A. B. Silva, Cecilia Pagliantini, Karen Veroy
The use of model order reduction techniques in combination with ensemble-based methods for estimating the state of systems described by nonlinear partial differential equations has…
math.NA2022
A Reduced Basis Ensemble Kalman Method
Francesco A. B. Silva, Cecilia Pagliantini, Martin Grepl +1
In the process of reproducing the state dynamics of parameter dependent distributed systems, data from physical measurements can be incorporated into the mathematical model to redu…