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Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems., , , and . SIAM J. Numerical Analysis, 51 (3): 1371-1391 (2013)A machine learning framework for data driven acceleration of computations of differential equations.. CoRR, (2018)Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography., and . Networks Heterog. Media, 11 (1): 145-162 (2016)wPINNs: Weak Physics Informed Neural Networks for Approximating Entropy Solutions of Hyperbolic Conservation Laws., , and . SIAM J. Numer. Anal., 62 (2): 811-841 (2024)Numerical Approximation of Statistical Solutions of Scalar Conservation Laws., , and . SIAM J. Numer. Anal., 56 (5): 2989-3009 (2018)On the discrete equation model for compressible multiphase fluid flows., , and . CoRR, (2022)A universal approximation theorem for nonlinear resistive networks., and . CoRR, (2023)Finite basis physics-informed neural networks as a Schwarz domain decomposition method., , , and . CoRR, (2022)Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data., and . Math. Comput., 81 (280): 1979-2018 (2012)An operator preconditioning perspective on training in physics-informed machine learning., , , and . CoRR, (2023)