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George Em Karniadakis

Brown UniversityORCID https://orcid.org/0000-0002-9713-7120

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Top Publications

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Journal of Computational Physics201815,047 citations

Modeling uncertainty in flow simulations via generalized polynomial chaos

Journal of Computational Physics20031,401 citationsCorresponding

High-order splitting methods for the incompressible Navier-Stokes equations

Journal of Computational Physics19911,374 citationsFirst authorCorresponding

Hidden physics models: Machine learning of nonlinear partial differential equations

Journal of Computational Physics20171,315 citations

Physics-informed neural networks for high-speed flows

Computer Methods in Applied Mechanics and Engineering20191,145 citationsCorresponding

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

Computer Methods in Applied Mechanics and Engineering20201,012 citationsCorresponding

hp-VPINNs: Variational physics-informed neural networks with domain decomposition

Computer Methods in Applied Mechanics and Engineering2020676 citations

George Em Karniadakis · Scinovex