Accelerated Spatial Approximations for Time Discretized Stochastic Partial Differential Equations. - Eric Joseph Hall (SIAM J. Math. Anal., 2012)

Higher Order Spatial Approximations for Degenerate Parabolic Stochastic Partial Differential Equations. - Eric Joseph Hall (SIAM J. Math. Anal., 2013)

Computable Error Estimates for Finite Element Approximations of Elliptic Partial Differential Equations with Rough Stochastic Data. - Eric Joseph Hall; Håkon Hoel; Mattias Sandberg; Anders Szepessy; Raúl Tempone (SIAM J. Sci. Comput., 2016)

Robust Information Divergences for Model-Form Uncertainty Arising from Sparse Data in Random PDE. - Eric Joseph Hall; Markos A. Katsoulakis (SIAM/ASA J. Uncertain. Quantification, 2018)

Causality and Bayesian Network PDEs for multiscale representations of porous media. - Kimoon Um; Eric Joseph Hall; Markos A. Katsoulakis; Daniel M. Tartakovsky (J. Comput. Phys., 2019)

Weak error rates for option pricing under the rough Bergomi model. - Christian Bayer 001; Eric Joseph Hall; Raúl Tempone (CoRR, 2020)

Graph-Informed Neural Networks. - Søren Taverniers; Eric Joseph Hall; Markos A. Katsoulakis; Daniel M. Tartakovsky (AAAI Spring Symposium: MLPS, 2021)

GINNs: Graph-Informed Neural Networks for multiscale physics. - Eric Joseph Hall; Søren Taverniers; Markos A. Katsoulakis; Daniel M. Tartakovsky (J. Comput. Phys., 2021)

Mutual information for explainable deep learning of multiscale systems. - Søren Taverniers; Eric Joseph Hall; Markos A. Katsoulakis; Daniel M. Tartakovsky (J. Comput. Phys., 2021)