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ORCIDZhongqiang Zhang 0003
Person information
- affiliation: Worcester Polytechnic Institute, MA, USA
Other persons with the same name
- Zhongqiang Zhang — disambiguation page
- Zhongqiang Zhang 0001
![[0000-0003-3007-4441]](https://dblp.org/img/orcid-mark.12x12.png "0000-0003-3007-4441")
— Xuzhou University of Technology, China - Zhongqiang Zhang 0002 — Jiangsu University, Zhenjiang, China
- Zhongqiang Zhang 0004 — Shanghai Jiao Tong University, China
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2020 – today
- 2025
[j33]Yujian Jiao, Tingting Li, Zhongqiang Zhang:
Jacobi spectral collocation method of space-fractional Navier-Stokes equations. Appl. Math. Comput. 488: 129111 (2025)- [j32]Zhaopeng Hao, Zhongqiang Zhang:
A Spectral Galerkin Method for the Mixed Local and Nonlocal Elliptic Equations. J. Sci. Comput. 104(3): 82 (2025) - [j31]Yuying Zhao, Xiaojie Wang, Zhongqiang Zhang:
Weak Error Analysis for Strong Approximation Schemes of SDEs with Super-Linear Coefficients II Finitely Many Bounded Moments and Higher-Order Schemes. J. Sci. Comput. 105(2): 58 (2025) - [j30]Taorui Wang, Zheyuan Hu, Kenji Kawaguchi, Zhongqiang Zhang, George Em Karniadakis:
Tensor neural networks for high-dimensional Fokker-Planck equations. Neural Networks 185: 107165 (2025) - [j29]Zheyuan Hu, Zhongqiang Zhang, George E. Karniadakis, Kenji Kawaguchi:
Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations. SIAM J. Sci. Comput. 47(3): 680- (2025) - [i16]Jihong Wang, Xiaochuan Tian, Zhongqiang Zhang, Stewart Silling, Siavash Jafarzadeh, Yue Yu:
Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions. CoRR abs/2505.01060 (2025) - 2024
- [j28]Qiao Zhuang, Alfa R. H. Heryudono, Fanhai Zeng, Zhongqiang Zhang:
Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions. Appl. Math. Comput. 469: 128548 (2024) - [i15]Siavash Jafarzadeh, Stewart Silling, Ning Liu, Zhongqiang Zhang, Yue Yu:
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses. CoRR abs/2401.06070 (2024) - [i14]Zheyuan Hu, Zhongqiang Zhang, George Em Karniadakis, Kenji Kawaguchi:
Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations. CoRR abs/2402.07465 (2024) - [i13]Qiao Zhuang, Chris Ziyi Yao, Zhongqiang Zhang, George Em Karniadakis:
Two-scale Neural Networks for Partial Differential Equations with Small Parameters. CoRR abs/2402.17232 (2024) - [i12]Taorui Wang, Zheyuan Hu, Kenji Kawaguchi, Zhongqiang Zhang, George Em Karniadakis:
Tensor neural networks for high-dimensional Fokker-Planck equations. CoRR abs/2404.05615 (2024) - [i11]Benjamin Shih, Ahmad Peyvan, Zhongqiang Zhang, George Em Karniadakis:
Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity. CoRR abs/2405.19166 (2024) - [i10]Zhaopeng Hao, Siyuan Shi, Zhongqiang Zhang, Rui Du:
A simple and fast finite difference method for the integral fractional Laplacian of variable order. CoRR abs/2406.10524 (2024) - [i9]Zheyuan Hu, Zhongqiang Zhang, George Em Karniadakis, Kenji Kawaguchi:
Score-fPINN: Fractional Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck-Levy Equations. CoRR abs/2406.11676 (2024) - [i8]Zheyuan Hu, Kenji Kawaguchi, Zhongqiang Zhang, George Em Karniadakis:
Tackling the Curse of Dimensionality in Fractional and Tempered Fractional PDEs with Physics-Informed Neural Networks. CoRR abs/2406.11708 (2024) - [i7]Yuying Zhao, Xiaojie Wang, Zhongqiang Zhang:
On one-step numerical schemes of weak convergence for SDEs with super-linear coefficients. CoRR abs/2406.14065 (2024) - [i6]Zhaopeng Hao, Zhiqiang Cai, Zhongqiang Zhang:
Fractional-order dependent Radial basis functions meshless methods for the integral fractional Laplacian. CoRR abs/2411.10675 (2024) - 2022
- [j27]Wanrong Cao, Zhaopeng Hao, Zhongqiang Zhang:
Optimal Strong Convergence of Finite Element Methods for One-Dimensional Stochastic Elliptic Equations with Fractional Noise. J. Sci. Comput. 91(1): 1 (2022) - [j26]Beichuan Deng, Yeonjong Shin, Lu Lu, Zhongqiang Zhang, George Em Karniadakis:
Approximation rates of DeepONets for learning operators arising from advection-diffusion equations. Neural Networks 153: 411-426 (2022) - [i5]Caiyu Jiao, Changpin Li, Hexiang Wang, Zhongqiang Zhang:
A Modified Walk-on-sphere Method for High Dimensional Fractional Poisson Equation. CoRR abs/2208.06639 (2022) - 2021
- [j25]Fangyuan Wang, Zhongqiang Zhang, Zhaojie Zhou:
A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations. J. Comput. Appl. Math. 386: 113233 (2021) - [j24]Zhaopeng Hao, Zhongqiang Zhang, Rui Du:
Fractional centered difference scheme for high-dimensional integral fractional Laplacian. J. Comput. Phys. 424: 109851 (2021) - [j23]Zhaopeng Hao, Zhongqiang Zhang:
Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise. SIAM/ASA J. Uncertain. Quantification 9(3): 1013-1033 (2021) - [j22]Zhaopeng Hao, Huiyuan Li, Zhimin Zhang, Zhongqiang Zhang:
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk. Math. Comput. 90(331): 2107-2135 (2021) - [j21]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) - [i4]Beichuan Deng, Yeonjong Shin, Lu Lu, Zhongqiang Zhang, George Em Karniadakis:
Convergence rate of DeepONets for learning operators arising from advection-diffusion equations. CoRR abs/2102.10621 (2021) - 2020
- [j20]Zhaopeng Hao, Guang Lin, Zhongqiang Zhang:
Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations. Appl. Math. Comput. 374: 125045 (2020) - [j19]Xiangcheng Zheng, Zhongqiang Zhang, Hong Wang:
Analysis of a nonlinear variable-order fractional stochastic differential equation. Appl. Math. Lett. 107: 106461 (2020) - [j18]Zhaopeng Hao, Zhongqiang Zhang:
Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 58(1): 211-233 (2020) - [i3]Ehsan Kharazmi, Zhongqiang Zhang, George Em Karniadakis:
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition. CoRR abs/2003.05385 (2020) - [i2]Yeonjong Shin, Zhongqiang Zhang, George Em Karniadakis:
Error estimates of residual minimization using neural networks for linear PDEs. CoRR abs/2010.08019 (2020)
2010 – 2019
- 2019
- [j17]Zhongqiang Zhang:
Error Estimates of Spectral Galerkin Methods for a Linear Fractional Reaction-Diffusion Equation. J. Sci. Comput. 78(2): 1087-1110 (2019) - [i1]Ehsan Kharazmi, Zhongqiang Zhang, George Em Karniadakis:
Variational Physics-Informed Neural Networks For Solving Partial Differential Equations. CoRR abs/1912.00873 (2019) - 2018
- [p1]Hong Yan, Zhongqiang Zhang, Jian Zou:
Dynamic Space-Time Model for Syndromic Surveillance with Particle Filters and Dirichlet Process. Handbook of Dynamic Data Driven Applications Systems 2018: 139-152 - 2017
- [c1]Hong Yan, Zhongqiang Zhang, Jian Zou:
An online spatio-temporal model for inference and predictions of taxi demand. IEEE BigData 2017: 3550-3557 - 2016
- [j16]Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis:
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations. J. Comput. Phys. 307: 15-33 (2016) - [j15]Zhongqiang Zhang, Boris Rozovskii, George E. Karniadakis:
Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise. Numerische Mathematik 134(1): 61-89 (2016) - [j14]Wanrong Cao, Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis:
Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j13]Zhongqiang Zhang, Michael V. Tretyakov, Boris Rozovskii, George E. Karniadakis:
Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise. SIAM J. Numer. Anal. 53(1): 153-183 (2015) - [j12]Zhongqiang Zhang, Fanhai Zeng, George E. Karniadakis:
Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations. SIAM J. Numer. Anal. 53(4): 2074-2096 (2015) - [j11]Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis:
Numerical Methods for Stochastic Delay Differential Equations Via the Wong-Zakai Approximation. SIAM J. Sci. Comput. 37(1) (2015) - [j10]Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis:
Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions. SIAM J. Sci. Comput. 37(4) (2015) - [j9]Fanhai Zeng, Zhongqiang Zhang, George E. Karniadakis:
A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations. SIAM J. Sci. Comput. 37(6) (2015) - 2014
- [j8]Zhongqiang Zhang, Michael V. Tretyakov, Boris Rozovskii, George E. Karniadakis:
A Recursive Sparse Grid Collocation Method for Differential Equations with White Noise. SIAM J. Sci. Comput. 36(4) (2014) - [j7]Mohsen Zayernouri, Wanrong Cao, Zhongqiang Zhang, George E. Karniadakis:
Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j6]Wanrong Cao, Zhongqiang Zhang:
On exponential mean-square stability of two-step Maruyama methods for stochastic delay differential equations. J. Comput. Appl. Math. 245: 182-193 (2013) - [j5]Zhongqiang Zhang, Xiu Yang, Guang Lin, George E. Karniadakis:
Numerical solution of the Stratonovich- and Ito-Euler equations: Application to the stochastic piston problem. J. Comput. Phys. 236: 15-27 (2013) - [j4]Michael V. Tretyakov, Zhongqiang Zhang:
A Fundamental Mean-Square Convergence Theorem for SDEs with Locally Lipschitz Coefficients and Its Applications. SIAM J. Numer. Anal. 51(6): 3135-3162 (2013) - 2012
- [j3]Zhongqiang Zhang, Minseok Choi, George E. Karniadakis:
Error Estimates for the ANOVA Method with Polynomial Chaos Interpolation: Tensor Product Functions. SIAM J. Sci. Comput. 34(2) (2012) - [j2]Zhongqiang Zhang, Boris Rozovskii, Michael V. Tretyakov, George E. Karniadakis:
A Multistage Wiener Chaos Expansion Method for Stochastic Advection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. 34(2) (2012) - 2010
- [j1]Ting-Ting Shen, Zhongqiang Zhang, He-Ping Ma:
Optimal Error Estimates of the Legendre Tau Method for Second-Order Differential Equations. J. Sci. Comput. 42(2): 198-215 (2010)
Coauthor Index
aka: George E. Karniadakis
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