Welcome to the personal website of Troy Butler. Below is some current news related to my professional activities.
Collaborative Research: Construction and Analysis of Numerical Methods for Stochastic Inverse Problems with Application to Coastal Hydrodynamics (NSF DMS-1818941) (lead PI, multi-institional grant, CU Denver portion $175,000).
Moving towards v3.0 release of BET to include sampling algorithms based on push-forward measures
First all–hands meeting is scheduled at CU Denver, June 10–11, 2019.
Accepted papers that are in press:
Enhancing piecewise defined surrogate response surfaces with adjoints on sets of unstructured samples to solve stochastic inverse problems will appear soon in the International Journal for Numerical Methods in Engineering
Uncertainty Modeling of CFRP-confined Concrete in Acid-induced Damage will appear soon in ACI Structural Journal
Papers in review:
Nearing submission (working titles):
Optimal Experimental Design for Prediction Based on Push-Forward Probability Measures
A New Approach to Optimal Experimental Design Using Singular Values of Jacobians for Nonlinear Observable Maps
Data–Consistent Inversion for Stochastic Parameter–to–Observable Maps
A Data–Consistent Approach for Parameter Estimation
Troy Butler is a professor of mathematical and statistical sciences at the University of Colorado Denver. His research interests are primarily in uncertainty quantification with an emphasis on using measure theory for the rigorous formulation and solution of stochastic inverse problems.
The theory and algorithms developed by his research group are useful across a broad range of applications. Past and current collaborations include research scientists at several DOE laboratories as well as aerospace, civil, and electrical engineers at other institutions. These collaborations have led to his research being applied to many specific application areas including storm surge from hurricanes and tropical cyclones, subsurface contaminant transport, integrity of concrete structures in acidic environments, and computational electromagnetics.
PhD in Mathematics, 2009
Colorado State University
MS in Mathematics, 2005
Colorado State University
BS in Electrical Engineering, 2003
Colorado State University
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