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2020 – today
- 2022
[j13]Nan Deng, Wanrong Cao
, Guofei Pang:
On numerical methods to second-order singular initial value problems with additive white noise. J. Comput. Appl. Math. 416: 114539 (2022)- 2021
- [j12]Lu Lu, Pengzhan Jin, Guofei Pang, Zhongqiang Zhang, George Em Karniadakis:
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators. Nat. Mach. Intell. 3(3): 218-229 (2021) - 2020
- [j11]Yiran Xu, Jingye Li, Xiaohong Chen, Guofei Pang:
Solving fractional Laplacian visco-acoustic wave equations on complex-geometry domains using Grünwald-formula based radial basis collocation method. Comput. Math. Appl. 79(8): 2153-2167 (2020) - [j10]Anna Lischke, Guofei Pang, Mamikon A. Gulian, Fangying Song, Christian Glusa, Xiaoning Zheng, Zhiping Mao, Wei Cai, Mark M. Meerschaert, Mark Ainsworth, George Em Karniadakis:
What is the fractional Laplacian? A comparative review with new results. J. Comput. Phys. 404 (2020) - [j9]Guofei Pang, Marta D'Elia, Michael L. Parks, George E. Karniadakis:
nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications. J. Comput. Phys. 422: 109760 (2020) - [c1]Marta D'Elia, George E. Karniadakis, Guofei Pang, Michael L. Parks:
Nonlocal Physics-Informed Neural Networks - A Unified Theoretical and Computational Framework for Nonlocal Models. AAAI Spring Symposium: MLPS 2020 - [i3]Guofei Pang, Marta D'Elia, Michael L. Parks, George E. Karniadakis:
nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications. CoRR abs/2004.04276 (2020)
2010 – 2019
- 2019
- [j8]Guofei Pang, Liu Yang, George E. Karniadakis:
Neural-net-induced Gaussian process regression for function approximation and PDE solution. J. Comput. Phys. 384: 270-288 (2019) - [j7]Guofei Pang, Lu Lu, George Em Karniadakis:
fPINNs: Fractional Physics-Informed Neural Networks. SIAM J. Sci. Comput. 41(4): A2603-A2626 (2019) - 2018
- [i2]Yiran Xu, Jingye Li, Guofei Pang, Zhikai Wang, Xiaohong Chen:
Radial basis function collocation method for decoupled fractional Laplacian wave equations. CoRR abs/1801.01206 (2018) - [i1]Guofei Pang, Liu Yang, George E. Karniadakis:
Neural-net-induced Gaussian process regression for function approximation and PDE solution. CoRR abs/1806.11187 (2018) - 2017
- [j6]Hongguang Sun, Xiaoting Liu, Yong Zhang, Guofei Pang, Rhiannon Garrard:
A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation. J. Comput. Phys. 345: 74-90 (2017) - [j5]Guofei Pang, Paris Perdikaris, Wei Cai, George E. Karniadakis:
Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization. J. Comput. Phys. 348: 694-714 (2017) - 2016
- [j4]Weiwei Li, Wen Chen, Guofei Pang:
Singular boundary method for acoustic eigenanalysis. Comput. Math. Appl. 72(3): 663-674 (2016) - [j3]Wen Chen, Guofei Pang:
A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction. J. Comput. Phys. 309: 350-367 (2016) - 2015
- [j2]Guofei Pang, Wen Chen, Zhuo-Jia Fu:
Space-fractional advection-dispersion equations by the Kansa method. J. Comput. Phys. 293: 280-296 (2015) - 2013
- [j1]Guofei Pang, Wen Chen, Kam-Yim Sze:
Gauss-Jacobi-type quadrature rules for fractional directional integrals. Comput. Math. Appl. 66(5): 597-607 (2013)
Coauthor Index
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