We present a novel reformulation of balanced truncation, a classical model reduction
method. The principal innovation that we introduce comes through the use of system …

Wave-to-wire models are valuable tools for a variety of applications in the development of
successful wave energy converters. However, computational requirements of these wave-to …

We investigate the sensitivity of reduced order models (ROMs) to training data spatial
resolution as well as sampling rate. In particular, we consider proper orthogonal …

In this paper, we put forth a long short-term memory (LSTM) nudging framework for the
enhancement of reduced order models (ROMs) of fluid flows utilizing noisy measurements …

We show that model order reduction by rational interpolation (also known as moment
matching or rational Krylov) can be seen as the special case of balanced Proper Orthogonal …

We present an algorithm to approximate the solution Z of a stable Lyapunov equation AZ+
ZA*+ BB*= 0 using proper orthogonal decomposition (POD). This algorithm is applicable to …

We consider two algorithms to approximate the solution Z of a class of stable operator
Lyapunov equations of the form AZ+ ZA*+ BB*= 0. The algorithms utilize time snapshots of …

We consider convergence analysis for a model reduction algorithm for a class of linear
infinite dimensional systems. The algorithm computes an approximate balanced truncation …

The Quadrature-based Balanced Truncation (QuadBT) framework of arXiv: 2104.01006 is a"
non-intrusive" reformulation of balanced truncation; a classical projection-based model …

Design, Validation and Application of Wave-To-Wire Models for Heaving Point Absorber
Wave Energy Converters Abstract Ocean waves represent an untapped source of …