Research Projects and Associated Publications/Reports

• Distributions of material parameters, in the context of nondestructive evaluation using electromagnetic interrogation (Apr 2011-present)
  
  
• Detection of cardiac stenoses using viscoelastic models (Oct 2010-present)
       - CRSC Technical Report: Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology
       - 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.
  
  
• 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 Review of Selected Techniques and Applications of Inverse Problem Measure Estimation. Currently writing.
       - ―. Computational Comparisons of Techniques for the Estimation of Probability Measures. Currently writing.
  
  
• Elasticity simulations of impacted soil (May 2009-March 2010)
       - CRSC Technical Report: A Brief Review of Elasticity and Viscoelasticity
       - H.T. Banks, S. Hu, Z.R. Kenz. A Brief Review of Elasticity and Viscoelasticity for Solids. Advances in Applied Mathematics and Mechanics. Volume 3.1 (2011) 1-51. doi:10.4208/aamm.10-m1030
  
  
• Nonlinear filtering applied to a model of an AIDS infection in the body (June 2008-December 2009)
       - CRSC Technical Report: A Comparison of Nonlinear Filtering Approaches in the Context of an HIV Model
       - H.T. Banks, S. Hu, Z.R. Kenz, H.T. Tran. A Comparison of Nonlinear Filtering Approaches in the Context of an HIV Model. Mathematical Biosciences and Engineering. Volume 7.2 (2010) 213-236. doi:10.3934/mbe.2010.7.213.
  
  
• Algebraic Interleavers in a turbo code context (Summer 2007 REU at AMSSI, under direction of E. Mosteig with graduate research assistant L. Smith.)
       - J. Dolloff, Z. Kenz, J. Rische, D.A. Rogers, L. Smith, E. Mosteig, Algebraic Interleavers in Turbo Codes, Technical Report, Aug 2006
  
  
• Asymptotic behavior of delay dynamic equations (undergraduate research with advisor Douglas R. Anderson in 2005)
       - D.R. Anderson and Z.R. Kenz, Global asymptotic behavior for delay dynamic equations, Nonlinear Analysis, 66 (2007) 1633-1644.