The Low Dimensionality of Time-Periodic Standing Waves in Water of Finite and Infinite Depth. - Matthew O. Williams; Eli Shlizerman; Jon Wilkening; J. Nathan Kutz (SIAM J. Appl. Dyn. Syst., 2012)

Equation-Free Computations as DDDAS Protocols in the Study of Engineered Granular Crystals. - Matthew O. Williams; F. Li; P. G. Kevrekidis; Chiara Daraio; Yannis G. Kevrekidis (ICCS, 2013)

Hybrid Reduced-Order Integration with Proper Orthogonal Decomposition and Dynamic Mode Decomposition. - Matthew O. Williams; Peter J. Schmid; J. Nathan Kutz (Multiscale Model. Simul., 2013)

Erratum: Hybrid Reduced-Order Integration with Proper Orthogonal Decomposition and Dynamic Mode Decomposition. - Matthew O. Williams; Peter J. Schmid; J. Nathan Kutz (Multiscale Model. Simul., 2013)

A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition. - Matthew O. Williams; Ioannis G. Kevrekidis; Clarence W. Rowley (J. Nonlinear Sci., 2015)

Koopman operator framework for constrained state estimation. - Amit Surana; Matthew O. Williams; Manfred Morari; Andrzej Banaszuk (CDC, 2017)

Equation-Free Computations as DDDAS Protocols for Bifurcation Studies: A Granular Chain Example. - Matthew O. Williams; Yorgos M. Psarellis; D. Pozharskiy; C. Chong; F. Li; J. Yang; Panayotis G. Kevrekidis; Ioannis G. Kevrekidis (CoRR, 2023)