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math.DS2021
Convolutional Autoencoders for Reduced-Order Modeling
Sreeram Venkat, Ralph C. Smith, Carl T. Kelley
In the construction of reduced-order models for dynamical systems, linear projection methods, such as proper orthogonal decompositions, are commonly employed. However, for many dyn…
math.DS2004★ 2 cited
Newton-Krylov solvers for time-steppers
C. T. Kelley, I. G. Kevrekidis, L. Qiao
We study how the Newton-GMRES iteration can enable dynamic simulators (time-steppers) to perform fixed-point and path-following computations.For a class of dissipative problems, wh…