Zhongqiang Zhang
Worcester Polytechnic Institute
H-index: 23
North America-United States
Top articles of Zhongqiang Zhang
Title | Journal | Author(s) | Publication Date |
|---|---|---|---|
Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions | Applied Mathematics and Computation | Qiao Zhuang Alfa Heryudono Fanhai Zeng Zhongqiang Zhang | 2024/5/15 |
Tensor neural networks for high-dimensional Fokker-Planck equations | arXiv preprint arXiv:2404.05615 | Taorui Wang Zheyuan Hu Kenji Kawaguchi Zhongqiang Zhang George Em Karniadakis | 2024/4/8 |
L1 Schemes for time-fractional differential equations: A brief survey and new development | Jingjing Xiao Yanping Chen Fanhai Zeng Zhongqiang Zhang | 2024/3/21 | |
Two-scale Neural Networks for Partial Differential Equations with Small Parameters | arXiv preprint arXiv:2402.17232 | Qiao Zhuang Chris Ziyi Yao Zhongqiang Zhang George Em Karniadakis | 2024/2/27 |
Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations | arXiv preprint arXiv:2402.07465 | Zheyuan Hu Zhongqiang Zhang George Em Karniadakis Kenji Kawaguchi | 2024/1/16 |
Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients | IMA Journal of Numerical Analysis | Xiaojie Wang Yuying Zhao Zhongqiang Zhang | 2023/9 |
A modified walk‐on‐sphere method for high dimensional fractional Poisson equation | Numerical Methods for Partial Differential Equations | Caiyu Jiao Changpin Li Hexiang Wang Zhongqiang Zhang | 2023/3 |
Strong 1.5 order scheme for second-order stochastic differential equations without Levy area | Applied Numerical Mathematics | Yufen Liu Wanrong Cao Zhongqiang Zhang | 2023/2/1 |
Error estimates of residual minimization using neural networks for linear PDEs | Journal of Machine Learning for Modeling and Computing | Yeonjong Shin Zhongqiang Zhang George Em Karniadakis | 2023 |
Optimal strong convergence of finite element methods for one-dimensional stochastic elliptic equations with fractional noise | Journal of Scientific Computing | Wanrong Cao Zhaopeng Hao Zhongqiang Zhang | 2022/4 |
A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data | Computer Methods in Applied Mechanics and Engineering | Lu Lu Xuhui Meng Shengze Cai Zhiping Mao Somdatta Goswami | 2022/4/1 |
Radial basis methods for integral fractional laplacian using arbitrary radial functions | Available at SSRN 4283586 | Qiao Zhuang Alfa Heryudono Fanhai Zeng Zhongqiang Zhang | 2022/11/22 |
Approximation rates of DeepONets for learning operators arising from advection–diffusion equations | Neural Networks | Beichuan Deng Yeonjong Shin Lu Lu Zhongqiang Zhang George Em Karniadakis | 2022/9/1 |
A spectral Galerkin approximation of optimal control problem governed by fractional advection–diffusion–reaction equations | Journal of Computational and Applied Mathematics | Fangyuan Wang Zhongqiang Zhang Zhaojie Zhou | 2021/4/1 |
Fractional centered difference scheme for high-dimensional integral fractional Laplacian | Journal of Computational Physics | Zhaopeng Hao Zhongqiang Zhang Rui Du | 2021/1/1 |
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators | Nature Machine Intelligence | Lu Lu Pengzhan Jin Guofei Pang Zhongqiang Zhang George Em Karniadakis | 2021/3 |
Convergence rate of DeepONets for learning operators arising from advection-diffusion equations | arXiv preprint arXiv:2102.10621 | Beichuan Deng Yeonjong Shin Lu Lu Zhongqiang Zhang George Em Karniadakis | 2021/2/21 |
hp-VPINNs: Variational physics-informed neural networks with domain decomposition | Computer Methods in Applied Mechanics and Engineering | Ehsan Kharazmi Zhongqiang Zhang George Em Karniadakis | 2021/2/1 |
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk | Mathematics of Computation | Zhaopeng Hao Huiyuan Li Zhimin Zhang Zhongqiang Zhang | 2021/9 |
Numerical approximation of optimal convergence for fractional elliptic equations with additive fractional Gaussian noise | SIAM/ASA Journal on Uncertainty Quantification | Zhaopeng Hao Zhongqiang Zhang | 2021 |
Co-Authors
