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Nathan Gibson
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Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media
HT Banks, VA Bokil, NL Gibson
Numerical Methods for Partial Differential Equations 25 (4), 885-917, 2009
762009
Homogenization of periodically varying coefficients in electromagnetic materials
HT Banks, VA Bokil, D Cioranescu, NL Gibson, G Griso, B Miara
Journal of Scientific Computing 28, 191-221, 2006
672006
Fixation probabilities in a spatially heterogeneous environment
S Gavrilets, N Gibson
Population Ecology 44, 51-58, 2002
612002
Analysis of spatial high-order finite difference methods for Maxwell's equations in dispersive media
VA Bokil, NL Gibson
IMA Journal of Numerical Analysis 32 (3), 926-956, 2012
562012
Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters
H Banks, N Gibson
Quarterly of Applied Mathematics 64 (4), 749-795, 2006
552006
Dimension reduction of decision variables for multireservoir operation: A spectral optimization model
D Chen, AS Leon, NL Gibson, P Hosseini
Water Resources Research 52 (1), 36-51, 2016
502016
Well-posedness in Maxwell systems with distributions of polarization relaxation parameters
HT Banks, NL Gibson
Applied mathematics letters 18 (4), 423-430, 2005
48*2005
Efficient computation of unsteady flow in complex river systems with uncertain inputs
NL Gibson, C Gifford-Miears, AS Leon, VS Vasylkivska
International Journal of Computer Mathematics 91 (4), 781-797, 2014
192014
Gap detection with electromagnetic terahertz signals
HT Banks, NL Gibson, WP Winfree
Nonlinear Analysis: Real World Applications 6 (2), 381-416, 2005
192005
Evolution of phase transitions in methane hydrate
NL Gibson, FP Medina, M Peszynska, RE Showalter
Journal of Mathematical Analysis and Applications 409 (2), 816-833, 2014
182014
Dispersion reducing methods for edge discretizations of the electric vector wave equation
VA Bokil, NL Gibson, V Gyrya, DA McGregor
Journal of Computational Physics 287, 88-109, 2015
172015
Convergence analysis of Yee schemes for Maxwell's equations in Debye and Lorentz dispersive media
VA Bokil, NL Gibson
162013
An Euler–Maruyama method for diffusion equations with discontinuous coefficients and a family of interface conditions
VA Bokil, NL Gibson, SL Nguyen, EA Thomann, EC Waymire
Journal of Computational and Applied Mathematics 368, 112545, 2020
142020
Void detection in foam with knit lines using THz pulse interrogation
HT Banks, NL Gibson
Mathematical and computer modelling 44 (9-10), 807-815, 2006
142006
A polynomial chaos method for dispersive electromagnetics
NL Gibson
Communications in Computational Physics 18 (5), 1234-1263, 2015
112015
Analysis of methods for the Maxwell-random Lorentz model
A Fisher, J Alvarez, NL Gibson
Results in Applied Mathematics 8, 100098, 2020
102020
Bilevel Flexible-Robust Optimization for Energy Allocation Problems
A Biswas, Y Chen, N Gibson, C Hoyle
ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg 6 (3), 2020
102020
Terahertz-based electromagnetic interrogation techniques for damage detection
NL Gibson
North Carolina State University, 2004
102004
A Coupled Karhunen–Loève and anisotropic sparse grid interpolation method for the probabilistic load flow problem
B Johnson, NL Gibson, E Cotilla-Sanchez
Electric Power Systems Research 193, 107044, 2021
92021
Applying robust design optimization to large systems
MG McIntire, V Vasylkivska, C Hoyle, N Gibson
International Design Engineering Technical Conferences and Computers and …, 2014
92014
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