672 citations · 1.4k across the 27 of their papers we have counts for
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Conservative model reduction for finite-volume models
Kevin Carlberg, Youngsoo Choi, Syuzanna Sargsyan
This work proposes a method for model reduction of finite-volume models that guarantees the resulting reduced-order model is conservative, thereby preserving the structure intrinsi…
Structure-preserving model reduction for marginally stable LTI systems
Liqian Peng, Kevin Carlberg
This work proposes a structure-preserving model reduction method for marginally stable linear time-invariant (LTI) systems. In contrast to Lyapunov-stability-based approaches---whi…
Space-time least-squares Petrov-Galerkin projection for nonlinear model reduction
Youngsoo Choi, Kevin Carlberg
This work proposes a space-time least-squares Petrov-Galerkin (ST-LSPG) projection method for model reduction of nonlinear dynamical systems. In contrast to typical nonlinear model…
Stochastic Least-Squares Petrov-Galerkin Method for Parameterized Linear Systems
Kookjin Lee, Kevin Carlberg, Howard C. Elman
We consider the numerical solution of parameterized linear systems where the system matrix, the solution, and the right-hand side are parameterized by a set of uncertain input para…
Error modeling for surrogates of dynamical systems using machine learning
Sumeet Trehan, Kevin Carlberg, Louis J. Durlofsky
A machine-learning-based framework for modeling the error introduced by surrogate models of parameterized dynamical systems is proposed. The framework entails the use of high-dimen…