Mattis, S. A.; Steffen, K. R.; Butler, T.; Dawson, C. N.; Estep, D. Learning quantities of interest from dynamical systems for observation-consistent inversion. (English) Zbl 1507.62289 Comput. Methods Appl. Mech. Eng. 388, Article ID 114230, 30 p. (2022). MSC: 62M10 37M10 65C20 65P99 PDFBibTeX XMLCite \textit{S. A. Mattis} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114230, 30 p. (2022; Zbl 1507.62289) Full Text: DOI arXiv
He, Jiachuan; Mattis, Steven A.; Butler, Troy D.; Dawson, Clint N. Data-driven uncertainty quantification for predictive flow and transport modeling using support vector machines. (English) Zbl 1421.76224 Comput. Geosci. 23, No. 4, 631-645 (2019). MSC: 76S05 62F15 65M60 76M35 PDFBibTeX XMLCite \textit{J. He} et al., Comput. Geosci. 23, No. 4, 631--645 (2019; Zbl 1421.76224) Full Text: DOI
Presho, M.; Mattis, S.; Dawson, C. Uncertainty quantification of two-phase flow problems via measure theory and the generalized multiscale finite element method. (English) Zbl 1387.76059 Comput. Geosci. 21, No. 2, 187-204 (2017). MSC: 76M10 76S05 76T30 PDFBibTeX XMLCite \textit{M. Presho} et al., Comput. Geosci. 21, No. 2, 187--204 (2017; Zbl 1387.76059) Full Text: DOI
Butler, T.; Graham, L.; Mattis, S.; Walsh, S. A measure-theoretic interpretation of sample based numerical integration with applications to inverse and prediction problems under uncertainty. (English) Zbl 1373.65003 SIAM J. Sci. Comput. 39, No. 5, A2072-A2098 (2017). MSC: 65C05 28A35 49N45 62M20 PDFBibTeX XMLCite \textit{T. Butler} et al., SIAM J. Sci. Comput. 39, No. 5, A2072--A2098 (2017; Zbl 1373.65003) Full Text: DOI