A posteriori error analysis of stochastic differential equations using polynomial chaos expansions T Butler, C Dawson, T Wildey SIAM Journal on Scientific Computing 33 (3), 1267-1291, 2011 | 45 | 2011 |

A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis J Breidt, T Butler, D Estep SIAM J. Numer. Analysis 49, 1836-1859, 2011 | 44* | 2011 |

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 76, 43-58, 2014 | 42 | 2014 |

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 (1), 195-209, 2012 | 40 | 2012 |

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 (1), 22-45, 2012 | 38 | 2012 |

Data assimilation within the advanced circulation (ADCIRC) modeling framework for hurricane storm surge forecasting T Butler, MU Altaf, C Dawson, I Hoteit, X Luo, T Mayo Monthly Weather Review 140 (7), 2215-2231, 2012 | 33 | 2012 |

A measure-theoretic computational method for inverse sensitivity problems III: Multiple quantities of interest T Butler, D Estep, S Tavener, C Dawson, JJ Westerink SIAM/ASA Journal on Uncertainty Quantification 2 (1), 174-202, 2014 | 30 | 2014 |

Propagation of uncertainties using improved surrogate models T Butler, C Dawson, T Wildey SIAM/ASA Journal on Uncertainty Quantification 1 (1), 164-191, 2013 | 30 | 2013 |

Combining push-forward measures and Bayes' rule to construct consistent solutions to stochastic inverse problems T Butler, J Jakeman, T Wildey SIAM Journal on Scientific Computing 40 (2), A984-A1011, 2018 | 29* | 2018 |

Improving short-range ensemble Kalman storm surge forecasting using robust adaptive inflation MU Altaf, T Butler, X Luo, C Dawson, T Mayo, I Hoteit Monthly Weather Review 141 (8), 2705-2720, 2013 | 28 | 2013 |

A comparison of ensemble Kalman filters for storm surge assimilation MU Altaf, T Butler, T Mayo, X Luo, C Dawson, AW Heemink, I Hoteit Monthly Weather Review 142 (8), 2899-2914, 2014 | 24 | 2014 |

Definition and solution of a stochastic inverse problem for the Manning’sn parameter field in hydrodynamic models T Butler, L Graham, D Estep, C Dawson, JJ Westerink Advances in water resources 78, 60-79, 2015 | 22 | 2015 |

A measure-theoretic interpretation of sample based numerical integration with applications to inverse and prediction problems under uncertainty T Butler, L Graham, S Mattis, S Walsh SIAM Journal on Scientific Computing 39 (5), A2072-A2098, 2017 | 12 | 2017 |

Solving stochastic inverse problems using sigma-algebras on contour maps T Butler, D Estep, S Tavener, T Wildey, C Dawson, L Graham arXiv preprint arXiv:1407.3851, 2014 | 12 | 2014 |

Parameter estimation and prediction for groundwater contamination based on measure theory SA Mattis, TD Butler, CN Dawson, D Estep, VV Vesselinov Water Resources Research 51 (9), 7608-7629, 2015 | 11 | 2015 |

A numerical method for solving a stochastic inverse problem for parameters T Butler, D Estep Annals of nuclear energy 52, 86-94, 2013 | 11 | 2013 |

Convergence of probability densities using approximate models for forward and inverse problems in uncertainty quantification T Butler, J Jakeman, T Wildey SIAM Journal on Scientific Computing 40 (5), A3523-A3548, 2018 | 8 | 2018 |

Utilizing adjoint-based error estimates for surrogate models to accurately predict probabilities of events T Butler, T Wildey International Journal for Uncertainty Quantification 8 (2), 2018 | 8 | 2018 |

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, JJ Westerink Monthly Weather Review 145 (3), 929-954, 2017 | 8 | 2017 |

Computational measure theoretic approach to inverse sensitivity analysis: Methods and analysis TD Butler Colorado State University, 2009 | 8 | 2009 |