Mattis, Steven A. “Mathematical Modeling of Flow Through Vegetated Regions.” Ph.D. Dissertation, The University of Texas at Austin, August, 2013. (DOI)

Mattis, Steven A. “Periodicity in One-Dimensional Dynamics.’’ Undergraduate Thesis, The University of Notre Dame, May, 2008.


Bittner, D., Parente, M. T., Mattis, S., Wohlmuth, B., and Chiogna, G. Identifying relevant hydrological and catchment properties in active subspaces: An inference study of a lumped karst aquifer model. Advances in Water Resources 135 (2020): 103472. (DOI)

Parente, M. T., Bittner, D., Mattis, S., Chiogna, G., and Wohlmuth, B. Bayesian calibration and sensitivity analysis for a karst aquifer model using active subspaces. Water Resources Research 55.8 (2019): 7086-7107 (DOI)

Mattis, S. and T. Butler, “Enhancing piecewise defined surrogate response surfaces with adjoints on sets of unstructured samples to solve stochastic inverse problems.” International Journal for Numerical Methods in Engineering 119:10 (2019): 923-940. (DOI)

Parente, M. T., Mattis, S., Gupta, S., Deusner, C., and B. Wohlmuth. “Efficient parameter estimation for a methane hydrate model with active subspaces.” Computational Geosciences 23 (2019): 355-372. (DOI)

He, J., S. Mattis, T. Butler, and C. Dawson, “Data-driven uncertainty quantification for predictive flow and transport modeling using support vector machines.” Computational Geosciences 23 (2019) 631-645. (DOI)

Mattis, S., Kees, C., Wei, M., Dimakopoulos, A. and Dawson, C. “Computational model for wave attenuation by flexible vegetation.” Journal of Waterway, Port, Coastal and Ocean Engineering 145.1 (2018): 04018033. (DOI)

Mattis, Steven A., and Barbara Wohlmuth. “Goal-oriented adaptive surrogate construction for stochastic inversion.” Computer Methods in Applied Mechanics and Engineering 339 (2018): 36-60. (DOI)

Butler, T., L. Graham, S. Mattis, and S. Walsh “A measure-theoretic interpretation of sample based numerical integration with applications to inverse and prediction problems under uncertainty.” SIAM Journal on Scientific Computing 39.5 (2017): A2072-A2098. (DOI)

Presho, M., S. Mattis, and C. Dawson. “Uncertainty quantification of two-phase flow problems via measure theory and the generalized multiscale finite element method.” Computational Geosciences 21.2 (2017): 187-204. (DOI)

Mattis, Steven A., Troy D. Butler, Clint N. Dawson, Donald Estep, and Velimir V. Vesselinov. “Parameter estimation and prediction for groundwater contamination based on measure theory.” Water Resources Research 51.9 (2015): 7608-7629. (DOI)

Sund, Nicole, Diogo Bolster, Steven Mattis, and Clint Dawson. “Pre-asymptotic Transport Upscaling in Inertial and Unsteady Flows Through Porous Media.” Transport in Porous Media 109.2 (2015): 411-432. (DOI)

Mattis, Steven A., Clint N. Dawson, Christopher E. Kees, and Matthew W. Farthing. “An immersed structure approach for fluid-vegetation interaction.” Advances in Water Resources 80 (2015): 1-16. (DOI)

Mattis, Steven A., Clint N. Dawson, Christopher E. Kees, and Matthew W. Farthing. “Numerical modeling of drag for flow through vegetated domains and porous structures.” Advances in Water Resources 39 (2012): 44-59. (DOI)

Backes, Tracy M., Russell Latterman, Stephen A. Small, Steven Mattis, Gwyn Pauley, Emily Reilly, and Sharon R. Lubkin. “Convergent extension by intercalation without mediolaterally fixed cell motion. Journal of Theoretical Biology 256, no. 2 (2009): 180-186. (DOI)