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Structure-Aware Tensorial Model Reduction
Arjun Vijaywargiya, Eric C. Cyr, Anthony Gruber
This work investigates a two-stage method for constructing projection-based reduced-order models (ROMs) of parameterized partial differential equations (PDEs). Based on established…
Tensor parametric Hamiltonian operator inference
Arjun Vijaywargiya, Shane A. McQuarrie, Anthony Gruber
This work presents a tensorial approach to constructing data-driven reduced-order models corresponding to semi-discrete partial differential equations with canonical Hamiltonian st…
Gaussian Variational Schemes on Bounded and Unbounded Domains
Jonas A. Actor, Anthony Gruber, Eric C. Cyr +1
A machine-learnable variational scheme using Gaussian radial basis functions (GRBFs) is presented and used to approximate linear problems on bounded and unbounded domains. In contr…