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DeepXDE: A Deep Learning Library for Solving Differential Equations.

, , , and . SIAM Rev., 63 (1): 208-228 (2021)

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Analysis and Approximation of a Fractional Cahn-Hilliard Equation., and . SIAM J. Numerical Analysis, 55 (4): 1689-1718 (2017)A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions., , , and . SIAM J. Sci. Comput., 41 (3): A1840-A1866 (2019)Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods., and . J. Comput. Phys., (2017)Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients., and . J. Comput. Phys., (2016)DeepXDE: A Deep Learning Library for Solving Differential Equations., , , and . SIAM Rev., 63 (1): 208-228 (2021)DeepStSNet: Reconstructing the quantum state-resolved thermochemical nonequilibrium flowfield using deep neural operator learning with scarce data., , , , and . J. Comput. Phys., (October 2023)A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities., , and . SIAM J. Sci. Comput., (2017)DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators., , , , and . J. Comput. Phys., (2021)Physics-informed neural networks with residual/gradient-based adaptive sampling methods for solving PDEs with sharp solutions., and . CoRR, (2023)Analysis and Hermite Spectral Approximation of Diffusive-Viscous Wave Equations in Unbounded Domains Arising in Geophysics., and . J. Sci. Comput., 95 (2): 51 (May 2023)