Dynamic mode decomposition (DMD) describes complex dynamic processes through a
hierarchy of simpler coherent features. DMD is regularly used to understand the …

Koopman operators globally linearize nonlinear dynamical systems and their spectral
information is a powerful tool for the analysis and decomposition of nonlinear dynamical …

Koopman operators are infinite‐dimensional operators that globally linearize nonlinear
dynamical systems, making their spectral information valuable for understanding dynamics …

Introduction to Large Truncated Toeplitz Matrices is a text on the application of functional
analysis and operator theory to some concrete asymptotic problems of linear algebra. The …

Toeplitz matrices emerge in plenty of applications and have been extensively studied for
about a century. The literature on them is immense and ranges from thousands of articles in …

Koopman operators linearize nonlinear dynamical systems, making their spectral
information of crucial interest. Numerous algorithms have been developed to approximate …

No part of the material protected by this copyright notice may be reproduced or utilized in
any form or by any means, electronic or mechanical, including photocopying, recording or by …

We study numerical approaches to computation of spectral properties of composition
operators. We provide a characterization of Koopman Modes in Banach spaces using …

Dynamic Mode Decomposition (DMD) is a popular data-driven analysis technique used to
decompose complex, nonlinear systems into a set of modes, revealing underlying patterns …

Computing spectra is a central problem in computational mathematics with an abundance of
applications throughout the sciences. However, in many applications gaining an …