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math.NA2025
Nonlinear space-time model reduction in the frequency domain
Peter Frame, Aaron Towne
We propose a space-time reduced-order model (ROM) for nonlinear dynamical systems, building upon previous work on linear systems. Whereas most ROMs are space-only in that they redu…
math.NA2025
Linear model reduction using spectral proper orthogonal decomposition
Peter Frame, Cong Lin, Oliver Schmidt +1
Most model reduction methods reduce the state dimension and then temporally evolve a set of coefficients that encode the state in the reduced representation. In this paper, we inst…