This paper presents a review of proper orthogonal decomposition (POD) methods for order
reduction in a variety of research areas. The historical development and basic mathematical …

The large‐scale structure systems in engineering are complex, high dimensional, and
variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors …

Modeling realistic fluid and plasma flows is computationally intensive, motivating the use of
reduced-order models for a variety of scientific and engineering tasks. However, it is …

We generalize the POD-based Galerkin method for post-transient flow data by incorporating
Navier–Stokes equation constraints. In this method, the derived Galerkin expansion …

Higher Order Dynamic Mode Decomposition and Its Applications provides detailed
background theory, as well as several fully explained applications from a range of industrial …

We present a reduced basis technique for long-time integration of parametrized
incompressible turbulent flows. The new contributions are threefold. First, we propose a …

A new approach for stabilizing unstable reduced order models (ROMs) for linear time-
invariant (LTI) systems through an a posteriori post-processing step applied to the algebraic …

A new method of stabilizing low-order, proper orthogonal decomposition based reduced-
order models of the Navier–Stokes equations is proposed. Unlike traditional approaches …

This paper describes an effort to apply current structural, thermal, and fluid reduced order
modeling methodologies (ROMs) to multi-disciplinary interaction problems that are of …

This paper presents a method to embed the Gauss–Newton approximated tensor (GNAT)
reduced order model (ROM) into the hybrid snapshot simulation to enhance generation …