3 papers
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…
physics.flu-dyn2025
Data-Driven Transient Growth Analysis
Zhicheng Kai, Peter Frame, Aaron Towne
The transient growth of disturbances made possible by the non-normality of the linearized Navier-Stokes equations plays an important role in bypass transition for many shear flows.…