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Karhunen-Loeve Representation of Periodic Second-Order Autoregressive Processes., , and . International Conference on Computational Science, volume 3038 of Lecture Notes in Computer Science, page 827-834. Springer, (2004)Selecting the Numerical Flux in Discontinuous Galerkin Methods for Diffusion Problems., and . J. Sci. Comput., 22 (1): 385-411 (2005)Neural-net-induced Gaussian process regression for function approximation and PDE solution., , and . CoRR, (2018)Hidden physics models: Machine learning of nonlinear partial differential equations., and . J. Comput. Phys., (2018)Multi-fidelity Gaussian process regression for prediction of random fields., , , and . J. Comput. Phys., (2017)A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems., , , and . J. Comput. Phys., (2017)Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: Application to hydrodynamics., , and . J. Comput. Phys., (2019)Numerical methods for high-dimensional probability density function equations., , and . J. Comput. Phys., (2016)Uncertainty quantification in simulation science., and . J. Comput. Phys., 217 (1): 1-4 (2006)The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications., , and . J. Comput. Phys., 227 (22): 9572-9595 (2008)