The equation y = x is linear because adding together inputs yields the sum of their respective outputs: 1 = 1, 2 = 2, and 1 + 2 = 1 + 2. But that’s not true of y = x 2: if x is 1, y is 1; if x ...

In this paper we consider the asymptotic properties of least squares estimators of the parameters of linear and nonlinear ARMAX models under data heterogeneity, where we allow the X-variables to be ...

Steven L. Brunton, Joshua L. Proctor, J. Nathan Kutz, Discovering governing equations from data by sparse identification of nonlinear dynamical systems, Proceedings of the National Academy of Sciences ...

Integration of conventional seismic data with nonlinear seismic data can provide the industry with new opportunities to better map in situ reservoir properties.

Abstract: This report introduces 3D-BASIS-ME-MB, a new computer program for the dynamic response-history analysis of seismically isolated structures. Improvements over its predecessor include: (a) ...

Researchers have developed the first sort-in-memory hardware system capable of tackling complex, nonlinear sorting tasks without traditional comparators.

Keywords: Modal analyses. Seismic excitations. Linear structures. Supplemental damping. Structural response. Seismic performance. Over-damped modes. Peak responses. Response spectrum method. Abstract: ...