@article{quantifyingtotaluncertaintyinphysics, title = {Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems}, author = {Dongkun Zhang and Lu Lu and Ling Guo and George Em. Karniadakis}, year = {2018}, eprint = {1809.08327}, archivePrefix = {arXiv}, url = {http://arxiv.org/abs/1809.08327v1}, }