Search button
Close Search Advanced
Journals
Resources
About Us
Open Access
Journals
Resources
About Us
Open Access

All Journals

George Em Karniadakis

Results

Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

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

Info
Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

Journal Article

Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

Communications in Computational Physics, Vol. 31 (2022), Iss. 2 : pp. 331–369

Info
Dying ReLU and Initialization: Theory and Numerical Examples

Journal Article

Dying ReLU and Initialization: Theory and Numerical Examples

Communications in Computational Physics, Vol. 28 (2020), Iss. 5 : pp. 1671–1706

Info
Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

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

Info
On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

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

Info
Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow

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

Info
Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows

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

Info
Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

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

Info
A Scalable Domain Decomposition Method for Ultra-Parallel Arterial Flow Simulations

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

Info
Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

Journal Article

Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

Numerical Mathematics: Theory, Methods and Applications, Vol. 15 (2022), Iss. 4 : pp. 876–902

Info