2 citations · 2 across the 3 of their papers we have counts for
3 papers
Analysis of Nonlinear Random Polarization in Dispersive Dielectrics
Nathan L. Gibson, Emmanuel E. Oguadimma
We present a study on the time-domain propagation of electromagnetic waves in dielectric materials modeled by a nonlinear Debye medium with random perturbations. Polynomial Chaos E…
A Coupled Karhunen--Loève and Anisotropic Sparse Grid Interpolation Method for the Probabilistic Load Flow Problem
Brandon Johnson, Nathan L. Gibson, Eduardo Cotilla-Sanchez
In the traditional load flow analysis, a key assumption is that the input variables, i.e., generator output and customer demand, are fixed in time and the associated response has n…
Numerical Methods for Linear Diffusion Equations in the Presence of an Interface
V. A. Bokil, N. L. Gibson, S. L. Nguyen +2
We consider numerical methods for linear parabolic equations in one spatial dimension having piecewise constant diffusion coefficients defined by a one parameter family of interfac…