George Em Karniadakis
Results
Journal Article
Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs
Communications in Computational Physics, Vol. 34 (2023), Iss. 4 : pp. 1133–1176
Journal Article
Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation
Communications in Computational Physics, Vol. 31 (2022), Iss. 2 : pp. 331–369
Journal Article
Dying ReLU and Initialization: Theory and Numerical Examples
Communications in Computational Physics, Vol. 28 (2020), Iss. 5 : pp. 1671–1706
Journal Article
Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations
Communications in Computational Physics, Vol. 28 (2020), Iss. 5 : pp. 2002–2041
Journal Article
On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs
Communications in Computational Physics, Vol. 28 (2020), Iss. 5 : pp. 2042–2074
Journal Article
Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow
Communications in Computational Physics, Vol. 23 (2018), Iss. 1 : pp. 93–117
Journal Article
Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows
Communications in Computational Physics, Vol. 9 (2011), Iss. 3 : pp. 607–626
Journal Article
Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients
Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 793–820
Journal Article
A Scalable Domain Decomposition Method for Ultra-Parallel Arterial Flow Simulations
Communications in Computational Physics, Vol. 4 (2008), Iss. 5 : pp. 1151–1169
