57 citations · 58 across the 3 of their papers we have counts for
3 papers
Data Fusion via Intrinsic Dynamic Variables: An Application of Data-Driven Koopman Spectral Analysis
Matthew O. Williams, Clarence W. Rowley, Igor Mezić +1
We demonstrate that numerically computed approximations of Koopman eigenfunctions and eigenvalues create a natural framework for data fusion in applications governed by nonlinear e…
Coarse graining, dynamic renormalization and the kinetic theory of shock clustering
Xingjie Li, Matthew O. Williams, Ioannis G. Kevrekidis +1
We demonstrate the utility of the equation free methodology developed by one of the authors (I.G.K) for the study of scalar conservation laws with disordered initial conditions. Th…
Mode-Locked Chip Laser using Waveguide Arrays
Xiao Zhang, Matthew Williams, Steven T. Cundiff +1
We demonstrate theoretically that robust mode-locking can be achieved on a semiconductor chip with a waveguide array architecture. The waveguide arrays are used as an ideal saturab…