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Characterizing possible failure modes in physics-informed neural networks

, , , , and . (2021)cite arxiv:2109.01050Comment: 22 pages.

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Integrating Teaching and Research in HPC: Experiences and Opportunities., , and . International Conference on Computational Science (2), volume 3515 of Lecture Notes in Computer Science, page 36-43. Springer, (2005)Topology Verification for Isosurface Extraction., , , , , , , and . IEEE Trans. Vis. Comput. Graph., 18 (6): 952-965 (2012)Comparing 2D Vector Field Visualization Methods: A User Study., , , , , , , and . IEEE Trans. Vis. Comput. Graph., 11 (1): 59-70 (2005)A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces., , , and . J. Sci. Comput., 63 (3): 745-768 (2015)Static-Analysis Assisted Dynamic Verification of MPI Waitany Programs (Poster Abstract)., , , , , and . PVM/MPI, volume 5759 of Lecture Notes in Computer Science, page 329-330. Springer, (2009)Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows, , , and . CoRR, (2013)High-order spectral/hp element discretisation for reaction-diffusion problems on surfaces: Application to cardiac electrophysiology., , , , and . J. Comput. Phys., (2014)A Scalable Framework for Solving Fractional Diffusion Equations., , and . CoRR, (2019)Smoothness-Increasing Accuracy-Conserving (SIAC) Postprocessing for Discontinuous Galerkin Solutions over Structured Triangular Meshes., , , and . SIAM J. Numer. Anal., 49 (5): 1899-1920 (2011)Mixed aleatory and epistemic uncertainty quantification using fuzzy set theory., , and . Int. J. Approx. Reason., (2015)