**Email: **troy.butler@ucdenver.edu**Website: **http://math.ucdenver.edu/~tbutler**Office Location: **CU Building 644**Phone:** (303) 315-1734**Areas of Expertise:**

Applied Mathematics

Ph.D., Mathematics, Colorado State University, 2009

M.S., Mathematics, Colorado State University, 2005

B.S., Electrical Engineering, Colorado State University, 2003

Troy Butler recently joined the department as an Assistant Professor.
Currently, Troy's research is supported by grants from the NSF and DOE.

From 2012-2013, Troy was a research scientist at Colorado State
University (CSU) working in Dr. Don Estep's research group on
uncertainty quantification. From 2009-2012, Troy began his postdoctoral
work an ICES Postdoctoral Research Fellow and was promoted to a Research
Associate in the Computational Hydraulics Group directed by Dr. Clint
Dawson within the Institute for Computational Engineering and Sciences
(ICES) at The University of Texas at Austin.

Troy's current projects include developing and applying novel
uncertainty quantification techniques to a variety of real-world
problems using real data involving storm surge from hurricanes and
tropical cyclones in the Gulf of Mexico, subsurface contaminant spread
with a model problem based on a chromium plume beneath Los Alamos
National Laboratory, and detecting damage in vibrating beams by passive
observation networks.

Propagation of uncertainties using improved surrogate models, T. Butler,
C. Dawson, and T. Wildey, SIAM/ASA J. Uncertainty Quantification 1-1
(2013), pp. 164-191 http://epubs.siam.org/doi/abs/10.1137/120888399

Improving Short-Range Ensemble Kalman Storm Surge Forecasting Using
Robust Adaptive Inflation., Altaf, M. U., T. Butler, X. Luo, C. Dawson,
T. Mayo, I. Hoteit, Monthly Weather Review, Vol. 141, No. 8, (2013), pp.
2705–2720 http://journals.ametsoc.org/doi/abs/10.1175/MWR-D-12-00310.1

A numerical method for solving a stochastic inverse problem for
parameters, T. Butler and D. Estep, Annals of Nuclear Energy, 52 (2013),
pp. 86–94 http://www.sciencedirect.com/science/article/pii/S0306454912001806

Data Assimilation within the Advanced Circulation (ADCIRC) Modeling
Frameowork for Hurricane Storm Surge Forecasting, T. Butler, M.U. Altaf,
C. Dawson, I. Hoteit, X. Luo, and T. Mayo, Monthly Weather Review, Vol.
140, No. 7. (2012), pp. 2215-2231 http://journals.ametsoc.org/doi/abs/10.1175/MWR-D-11-00118.1

Reparameterization for statistical state estimation applied to
differential equations, T. Butler, M. Juntunen, Journal of Computational
Physics 231 (2012), pp. 2641-2654 http://www.sciencedirect.com/science/article/pii/S0021999111007315

A posteriori error analysis of parameterized linear
systems using spectral methods, T. Butler, P. Constantine, T. Wildey,
SIAM Journal on Matrix Analysis and Applications 33 (2012), pp.
195-209 http://epubs.siam.org/doi/abs/10.1137/110840522

A computational measure-theoretic approach to inverse sensitivity
problems II: A posteriori error analysis, T. Butler, D. Estep, J.
Sandelin, SIAM Journal on Numerical Analysis 50 (2012), pp. 22-45 http://epubs.siam.org/doi/abs/10.1137/100785958

A measure-theoretic computational method for inverse sensitivity
problems I: Method and Analysis, J. Breidt, T. Butler, D. Estep, SIAM
Journal on Numerical Analysis 49 (2011), pp. 1836-1859 http://epubs.siam.org/doi/abs/10.1137/100785946

A posteriori error analysis of stochastic differential equations using
polynomial chaos expansions, T. Butler, C. Dawson, T. Wildey, SIAM
Journal on Scientific Computing 33 (2011), pp. 1267-1291 http://epubs.siam.org/doi/abs/10.1137/100795760?journalCode=sjoce3

Courses taught at Colorado State University:

Spring 2013: Statistics for Engineers and Scientists

Fall 2012: Statistics for Engineers and Scientists

Spring 2008: Introduction to Ordinary Differential Equations

Fall 2008: Short Course on Sensitivity Analysis

Summer 2005: Calculus for Physical Scientists III

Spring 2005: Calculus for Physical Scientists II

Fall 2004: Calculus for Physical Scientists I

Summer 2004: Math in the Social Sciences

Spring 2004: Calculus for Physical Scientists I

Fall 2003: Calculus for Physical Scientists I

Courses taught at The University of Texas at Austin:

Fall 2011: Engineering Computation

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