Mathematical Interests
Distributed parameters in an electromagnetic nondestructive evaluation context
Inverse problem methodology, in particular studying the estimation of distributed parameters
Signal processing related to inverse problems
Elasticity, applications to seismic waves in soil and to bodily tissue
Nonlinear filtering, with applications to HIV infection modeling
Current Research Projects and Associated Publications/Reports (Full Project List)
Distributions of material parameters, in the context of nondestructive evaluation using electromagnetic interrogation (Apr 2011-present)
Connections between concepts in chattering controls, Priesach hysteresis, mixing distributions, and functional analysis (May 2010-present)
• H.T. Banks, Z. R. Kenz, W. C. Thompson. A Survey of Selected Techniques in Inverse Problem Nonparametric Measure Estimation, in process.
• ―. Computational Comparisons of Techniques for the Estimation of Probability Measures. Currently writing.
Detection of cardiac stenoses using viscoelastic models (Oct 2010-present)
• H.T. Banks, S. Hu, Z.R. Kenz, C. Kruse, S. Shaw, J.R. Whiteman, M.P. Brewin, S.E. Greenwald, M.J. Birch, Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology, J. Inverse and Ill-Posed Problems, submitted. CRSC Technical Report TR-12-09, North Carolina State University (April 2012).
No upcoming presentations.
MA 591, Special Topics: Stochastic Systems (H.T. Banks)
MA 797V, Special Topics in Applied Mathematics: Validation and Verification (R.C. Smith)
MA 893, Doctoral Supervised Research (H.T. Banks)
Web page last updated 17 May 2012.
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Zackary R. Kenz