Full scale aerodynamic wind tunnel testing, numerical simulation of high dimensional (full-
order) aerodynamic models or flight testing are some of the fundamental but complex steps …

The Gauss–Newton with approximated tensors (GNAT) method is a nonlinear model-
reduction method that operates on fully discretized computational models. It achieves …

Abstract Least-squares Petrov–Galerkin (LSPG) model-reduction techniques such as the
Gauss–Newton with Approximated Tensors (GNAT) method have shown promise, as they …

The long runtime of high-fidelity partial differential equation (PDE) solvers makes them
unsuitable for time-critical applications. We propose to accelerate PDE solvers using …

This work investigates the stability of (discrete) empirical interpolation for nonlinear model
reduction and state field approximation from measurements. Empirical interpolation derives …

We formulate a new projection-based reduced-order modeling technique for non-linear
dynamical systems. The proposed technique, which we refer to as the Adjoint Petrov …

Abstract Model reduction of the compressible Euler equations based on proper orthogonal
decomposition (POD) and Galerkin orthogonality or least-squares residual minimization …

Projection-based reduced-order models (PROMs) restrict the full-order model (FOM) to a low-
dimensional subspace. Space–time PROMs in particular restrict the FOM to a temporally …

In the past decade, there has been a strong interest in reusable air-breathing hypersonic
vehicles for in both civil and military applications. However, there are still the unresolved …

This work proposes a windowed least-squares (WLS) approach for model reduction of
dynamical systems. The proposed approach sequentially minimizes the time-continuous full …