activity
20132018
most citedDiscovering governing equations from data: Sparse identification of nonlinear dynamical systems

4.8k citations · 6.6k across the 13 of their papers we have counts for

collaborators
Showing nlin.PSShow all

2 papers · 1 filter

nlin.PS2016

Data-driven discovery of partial differential equations

Samuel H. Rudy, Steven L. Brunton, Joshua L. Proctor +1

We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The…

nlin.PS2016★ 14 cited

Koopman Theory for Partial Differential Equations

J. Nathan Kutz, Joshua L. Proctor, Steven L. Brunton

We consider the application of Koopman theory to nonlinear partial differential equations. We demonstrate that the observables chosen for constructing the Koopman operator are crit…