Publications

Published (appeared/accepted)

    2017

  1. A Stochastic Inverse Problem Framework for Determination of Model Upscaling, N. Panda, T. Butler, D. Estep, L. Graham, and C. Dawson, Status: accepted June 2017

  2. A Measure-Theoretic Interpretation of Sample Based Numerical Integration with Applications to Inverse and Prediction Problems Under Uncertainty, T. Butler, L. Graham, S. Mattis, and S. Walsh, Status: accepted April 2017

  3. A Measure-Theoretic Algorithm for Estimating Bottom Friction in a Coastal Inlet: Case Study of Bay St. Louis during Hurricane Gustav (2008), L. Graham, T. Butler, S. Walsh, C. Dawson, J.J. Westerink, Monthly Weather Review, Volume 145, No. 3, (2017), pp. 929-954

  4. 2015

  5. Parameter estimation and prediction for groundwater contamination based on measure theory, S. Mattis, T. Butler, C. Dawson, D. Estep, V.V. Vesselinov, Water Resources Research, Volume 51, (2015), pp. 7608-7629

  6. Definition and solution of a stochastic inverse problem for the Manning's n parameter field in hydrodynamic models, T. Butler, L. Graham, C. Dawson, D. Estep, J.J. Westerink, Advances in Water Resources, Volume 78, (2015), pp. 60-79

  7. Quantifying Uncertainty in Material Damage from Vibrational Data, T. Butler, A. Huhtala, M. Juntunen, Journal of Computational Physics, Volume 283, (2015), pp. 414–435

  8. 2014

  9. A comparison of ensemble Kalman filters for short range forecasting, M.U. Altaf, T. Butler, T. Mayo, X. Luo, C. Dawson, A.W. Heemink, I. Hoteit, Monthly Weather Review, Volume 142, No. 8, (2014), pp. 2899–2914

  10. A measure-theoretic computational method for inverse sensitivity problems III: Multiple Quantities of Interest, T. Butler, D. Estep, S. Tavener, C. Dawson, J.J. Westerink, SIAM/ASA Journal on Uncertainty Quantification, Vol. 2, (2014), pp. 174-202

  11. Data Assimilation within the Advanced Circulation (ADCIRC) Modeling Framework for the Estimation of Manning's Friction Coefficient, T. Mayo, T. Butler, C. Dawson, I. Hoteit, Ocean Modelling, Vol. 76, (2014), pp. 43-58

  12. 2013

  13. Propagation of uncertainties using improved surrogate models, T. Butler, C. Dawson, and T. Wildey, SIAM/ASA Journal on Uncertainty Quantification, Vol. 1, (2013), pp. 164-191

  14. Improving Short-Range Ensemble Kalman Storm Surge Forecasting Using Robust Adaptive Inflation, M.U. Altaf, T. Butler, X. Luo, C. Dawson, T. Mayo, I. Hoteit, Monthly Weather Review, Vol. 141, No. 8, (2013), pp. 2705-2720

  15. A numerical method for solving a stochastic inverse problem for parameters, T. Butler and D. Estep, Annals of Nuclear Energy, Vol. 52, (2013), pp. 86 - 94

  16. 2012

  17. 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

  18. Reparameterization for statistical state estimation applied to differential equations, T. Butler, M. Juntunen, Journal of Computational Physics, Vol. 231, (2012), pp. 2641-2654

  19. A posteriori error analysis of parameterized linear systems using spectral methods, T. Butler, P. Constantine, T. Wildey, SIAM Journal on Matrix Analysis and Applications, Vol. 33, (2012), pp. 195-209

  20. 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, Vol. 50, (2012), pp. 22-45

  21. 2011

  22. A measure-theoretic computational method for inverse sensitivity problems I: Basic Method and Analysis, J. Breidt, T. Butler, D. Estep, SIAM Journal on Numerical Analysis, Vol. 49, (2011), pp. 1836-1859

  23. A posteriori error analysis of stochastic differential equations using polynomial chaos expansions, T. Butler, C. Dawson, T. Wildey, SIAM Journal on Scientific Computing, Vol. 33, (2011), pp. 1267-1291

Submitted work (in review/revision) with current status/dates

  1. Utilizing Response Surface Approximations and Error Estimates to Accurately Predict Probabilities of Events, T. Butler and T. Wildey, Status: in review since June 2017

  2. A Consistent Bayesian Formulation for Stochastic Inverse Problems Based on Push-forward Measures, T. Butler, J. Jakeman, and T. Wildey, Status: revised and in review since March 2017

Papers awaiting submission

  1. Quantifying Uncertainties in Modeling the Durability of CFRP-Confined Concrete Members Subjected to Sulfuric Acid Y. Ji, T. Butler, and Y.J. Kim

  2. Solving Stochastic Inverse Problems using Sigma-Algebras on Contour Maps , T. Butler et. al.

  3. Enhanced surrogate modeling with adjoints for goal-oriented measure-theoretic inversion, T. Butler and S. Mattis

  4. Simulation-Based Optimal Experimental Design: A Measure-Theoretic Perspective, T. Butler, M. Pilosov, and S. Walsh