Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

2020/04/11 by Ameya D. Jagtap, Ehsan Kharazmi, George Em Karniadakis · 1,137 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Artificial neural network #Computer science #Conservation law #Fluid Dynamics and Turbulent Flows #Geometry #Inverse problem #Korteweg–de Vries equation #Mathematical analysis #Mathematical optimization #Mathematics #Model Reduction and Neural Networks #Neural Networks and Applications #Nonlinear system #Physics #Scalar (mathematics)

paper · pdf · doi:10.1016/j.cma.2020.113028

published in Computer Methods in Applied Mechanics and Engineering 365, 113028 (Elsevier BV)

openalex publication_date 2020/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Citations

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