Guofei Pang

发表

A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation

HongGuang Sun, Xiaoting Liu, Yong Zhang, 2016, J. Comput. Phys..

What Is the Fractional Laplacian

Wei Cai, Zhiping Mao, Mark Ainsworth, 2018, 1801.09767.

Singular boundary method for acoustic eigenanalysis

Guofei Pang, Weiwei Li, Wen Chen, 2016, Comput. Math. Appl..

nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications

Guofei Pang, George E. Karniadakis, Michael L. Parks, 2020, J. Comput. Phys..

Solving fractional Laplacian visco-acoustic wave equations on complex-geometry domains using Grünwald-formula based radial basis collocation method

Guofei Pang, Yiran Xu, Jingye Li, 2020, Comput. Math. Appl..

nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications pdf

Guofei Pang, George E. Karniadakis, Marta D'Elia, 2020, J. Comput. Phys..

Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization

Wei Cai, Paris Perdikaris, Guofei Pang, 2017, J. Comput. Phys..

A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction

Guofei Pang, Wen Chen, Wen Chen, 2016, J. Comput. Phys..

Nonlocal Physics-Informed Neural Networks - A Unified Theoretical and Computational Framework for Nonlocal Models

Guofei Pang, George E. Karniadakis, Michael L. Parks, 2020, AAAI Spring Symposium: MLPS.

Space-fractional advection-dispersion equations by the Kansa method

Guofei Pang, Wen Chen, Zhuo-Jia Fu, 2015, J. Comput. Phys..

fPINNs: Fractional Physics-Informed Neural Networks

George Em Karniadakis, Guofei Pang, Lu Lu, 2018, SIAM J. Sci. Comput..

Radial basis function collocation method for decoupled fractional Laplacian wave equations pdf

Xiaohong Chen, Guofei Pang, Yiran Xu, 2018, ArXiv.

What is the fractional Laplacian? A comparative review with new results

Guofei Pang, Mark Ainsworth, Xiaoning Zheng, 2020, J. Comput. Phys..

Gauss-Jacobi-type quadrature rules for fractional directional integrals

Guofei Pang, Wen Chen, K. Y. Sze, 2013, Comput. Math. Appl..

Neural-net-induced Gaussian process regression for function approximation and PDE solution pdf

Liu Yang, Guofei Pang, George E. Karniadakis, 2018, J. Comput. Phys..

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

George Em Karniadakis, Guofei Pang, Zhongqiang Zhang, 2019, Nature Machine Intelligence.

Fractional biharmonic operator equation model for arbitrary frequency-dependent scattering attenuation in acoustic wave propagation.

Sverre Holm, Guofei Pang, Wen Chen, 2017, The Journal of the Acoustical Society of America.

Comparison of two radial basis collocation methods for Poisson problems with fractional Laplacian

Guofei Pang, Wen Chen, 2019, Numerical Methods.

Physics-Informed Learning Machines for Partial Differential Equations: Gaussian Processes Versus Neural Networks

George Em Karniadakis, Guofei Pang, G. Karniadakis, 2020 .

Stochastic Solution of Elliptic and Parabolic Boundary Value Problems for the Spectral Fractional Laplacian

Guofei Pang, Mamikon Gulian, Mamikon A. Gulian, 2018, 1812.01206.