Matthew O. Williams

发表

Light-bullet routing and logic in planar waveguide arrays

Matthew O. Williams, Colin W. McGrath, J. N. Kutz, 2011, OPTO.

Modeling disease transmission near eradication: An equation free approach

Matthew O. Williams, Joshua L. Proctor, J. Nathan Kutz, 2015 .

Two-dimensional mode-locking in planar waveguide arrays

Matthew O. Williams, J. Nathan Kutz, 2010, OPTO.

Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition

Clarence W. Rowley, Scott T. M. Dawson, Matthew O. Williams, 2014, Experiments in Fluids.

Characterizing and suppressing multi-pulsing instabilities in mode-locked lasers

Eli Shlizerman, Matthew O. Williams, J. Nathan Kutz, 2011, OPTO.

Optical intensity dynamics in a five-emitter semiconductor array laser

Matthew O. Williams, J. Nathan Kutz, J. Kutz, 2009, Photonics North.

Generating and routing light-bullets using slab waveguide arrays

Matthew O. Williams, J. Nathan Kutz, J. Kutz, 2012 .

Phase retrieval using nonlinear diversity.

Matthew O. Williams, J. Kutz, C. Barsi, 2013, Applied optics.

A kernel-based method for data-driven koopman spectral analysis

Matthew O. Williams, I. Kevrekidis, C. Rowley, 2016 .

A Kernel-Based Approach to Data-Driven Koopman Spectral Analysis

Matthew O. Williams, I. Kevrekidis, C. Rowley, 2014, 1411.2260.

A Kernel Approach to Data-Driven Koopman Spectral Analysis

Clarence W. Rowley, Matthew O. Williams, Ioannis G. Kevrekidis, 2014 .

Continuation of periodic solutions in the waveguide array mode-locked laser

Eli Shlizerman, Matthew O. Williams, J. Nathan Kutz, 2011 .

Extending Data-Driven Koopman Analysis to Actuated Systems

Clarence W. Rowley, Scott T. M. Dawson, Matthew O. Williams, 2016 .

Coarse graining, dynamic renormalization and the kinetic theory of shock clustering

Matthew O. Williams, I. Kevrekidis, Govind Menon, 2014, 1411.0284.

The multi-pulsing transition in mode-locked lasers: a low-dimensional approach using waveguide arrays

Eli Shlizerman, Matthew O. Williams, Jose Nathan Kutz, 2010 .

Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis

Clarence W. Rowley, Matthew O. Williams, Ioannis G. Kevrekidis, 2014, 1411.5424.

Micromachined Aluminum Nitride Microphone Technology Development

Matthew O. Williams, M. Sheplak, B. Griffin, 2012 .

Light Bullet Mode-Locking In Waveguide Arrays

Matthew O. Williams, J. Kutz, 2010 .

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Clarence W. Rowley, Matthew O. Williams, Ioannis G. Kevrekidis, 2014, Journal of Nonlinear Science.

Exploiting Low Dimensionality in Nonlinear Optics and Other Physical Systems

Matthew O. Williams, Matthew O. Williams, 2012 .

Dynamic mode decomposition for large and streaming datasets

Clarence W. Rowley, Matthew O. Williams, Matthew O. Williams, 2014, 1406.7187.

The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode-Locked Lasers and Optical Systems

Matthew O. Williams, J. Kutz, E. Ding, 2012 .

The Low Dimensionality of Time-Periodic Standing Waves in Water of Finite and Infinite Depth

J. Nathan Kutz, Eli Shlizerman, Matthew O. Williams, 2012, SIAM J. Appl. Dyn. Syst..

Hybrid Reduced-Order Integration with Proper Orthogonal Decomposition and Dynamic Mode Decomposition

Peter J. Schmid, J. Nathan Kutz, Matthew O. Williams, 2013, Multiscale Model. Simul..

Improving separation control with noise-robust variants of dynamic mode decomposition

Clarence W. Rowley, Eric A. Deem, Louis N. Cattafesta, 2016 .

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Matthew O. Williams, I. Kevrekidis, C. Rowley, 2014, Journal of nonlinear science.

Koopman operator framework for constrained state estimation

Manfred Morari, Andrzej Banaszuk, Matthew O. Williams, 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

Numerical Diagnostics for Systems of Differential Algebraic Equations

Matthew O. Williams, Matthew O. Williams, Teems E. Lovett, 2016, 1602.07550.

Identifying finite-time coherent sets from limited quantities of Lagrangian data.

Matthew O. Williams, Clarence W Rowley, Matthew O Williams, 2014, Chaos.

Phase retrieval using nonlinear diversity.

Matthew O. Williams, J. Kutz, C. Barsi, 2013, Applied optics.