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Author
George Em Karniadakis
also known as G E Karniadakis, G Karniadakis, G. E. KARNIADAKIS
Brown University · University of Rochester · California Institute of Technology · Northeastern University
About this author
Works
1,245
Cited by
100,904
h-index
133
i10
620
ORCID ↗
Top papers
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Maziar Raissi, Paris Perdikaris, George Em Karniadakis
·
2018
·
Journal of Computational Physics
↗ 15,700
OA
Physics-informed machine learning
George Em Karniadakis, Ioannis G. Kevrekidis, Lu Lu, et al.
·
2021
·
Nature Reviews Physics
↗ 6,097
OA
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
Dongbin Xiu, George Em Karniadakis
·
2002
·
SIAM Journal on Scientific Computing
↗ 4,704
Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations
Maziar Raissi, Alireza Yazdani, George Em Karniadakis
·
2020
·
Science
↗ 1,891
OA
Physics-informed neural networks (PINNs) for fluid mechanics: a review
Shengze Cai, Zhiping Mao, Zhicheng Wang, et al.
·
2021
·
Acta Mechanica Sinica
↗ 1,689
OA
Microflows and Nanoflows : Fundamentals and Simulation
George Em Karniadakis
·
2005
↗ 1,483
Spectral/hp Element Methods for Computational Fluid Dynamics
George Em Karniadakis, Spencer J. Sherwin
·
2005
·
Oxford University Press eBooks
↗ 1,460
Modeling uncertainty in flow simulations via generalized polynomial chaos
Dongbin Xiu, George Em Karniadakis
·
2003
·
Journal of Computational Physics
↗ 1,406
High-order splitting methods for the incompressible Navier-Stokes equations
George Em Karniadakis, M. Israeli, Steven A. Orszag
·
1991
·
Journal of Computational Physics
↗ 1,391
Hidden physics models: Machine learning of nonlinear partial differential equations
Maziar Raissi, George Em Karniadakis
·
2017
·
Journal of Computational Physics
↗ 1,336
OA
Physics-informed neural networks for high-speed flows
Zhiping Mao, Ameya D. Jagtap, George Em Karniadakis
·
2019
·
Computer Methods in Applied Mechanics and Engineering
↗ 1,170
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations
Xiaowei Jin, Shengze Cai, Hui Li, et al.
·
2020
·
Journal of Computational Physics
↗ 1,116
OA
Books
Numerical Methods
2019
·
de Gruyter GmbH, Walter
Numerical Methods for Stochastic Partial Differential Equations with White Noise
2017
·
Springer
Parallel Scientific Computing in C++ and MPI
2003
·
Cambridge University Press
Numerical Methods for Stochastic Partial Differential Equations with White Noise (Applied Mathematical Sciences Book 196)
2017
·
Springer
Spectral/HP Element Methods for Cfd. Numerical Mathematics and Scientific Computation
1999
·
Oxford University Press
Microflows and Nanoflows: Fundamentals and Simulation (Interdisciplinary Applied Mathematics Book 29)
2006
·
Springer
Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations
2024
·
Cambridge University Press