Deep Theory of Functional Connections: A New Method for Estimating the
Solutions of PDEs

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Deep Theory of Functional Connections: A New Method for Estimating the Solutions of PDEs

20 December 2018

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Papers citing "Deep Theory of Functional Connections: A New Method for Estimating the Solutions of PDEs"

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Title
Approximation theory for 1-Lipschitz ResNets Davide Murari Takashi Furuya Carola-Bibiane Schönlieb 81 0 0 17 May 2025
Learning in PINNs: Phase transition, total diffusion, and generalization Sokratis J. Anagnostopoulos Juan Diego Toscano Nikolaos Stergiopulos George Karniadakis 75 11 0 27 Mar 2024
A Unified Hard-Constraint Framework for Solving Geometrically Complex PDEs Songming Liu Zhongkai Hao Chengyang Ying Hang Su Jun Zhu Ze Cheng AI4CE 100 17 0 06 Oct 2022
Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations Benjamin Moseley Andrew Markham T. Nissen‐Meyer PINN 91 227 0 16 Jul 2021