George Em Karniadakis

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 · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

Dongbin Xiu, George Em Karniadakis · SIAM Journal on Scientific Computing · 2002 · 4.7K citations

Natural Sciences, Computational Engineering, Mathematics +16

Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

Maziar Raissi, Alireza Yazdani, George Em Karniadakis · Science · 2020 · 2K citations · Full text

Computing, Computer Science, Physics +16

Modeling uncertainty in flow simulations via generalized polynomial chaos

Dongbin Xiu, George Em Karniadakis · Journal of Computational Physics · 2003 · 1.4K citations

Computing, Computational Engineering, Physics +13

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

George Em Karniadakis, M. Israeli, Steven A. Orszag · Journal of Computational Physics · 1991 · 1.4K citations

Natural Sciences, Mechanical Engineering, Physics +11