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ORCIDTao Zhou 0010
Person information
- affiliation: Southern University of Science and Technology, Department of Mathematics and International Center for Mathematics, Shenzhen, China
- affiliation: Chinese Academy of Sciences, Institute of Computational Mathematics, Beijing, China
Other persons with the same name
- Tao Zhou — disambiguation page
- Tao Zhou 0001
![[0000-0003-0561-2316]](https://dblp.org/img/orcid-mark.12x12.png "0000-0003-0561-2316")
— Hangzhou Normal University, Institute of Information Economy, China (and 2 more) - Tao Zhou 0002 — Nanjing University of Science and Technology, School of Computer Science and Engineering, PCA Lab, China (and 3 more)
- Tao Zhou 0003 — Southwest Jiaotong University, School of Physical Science and Technology, Chengdu, China (and 2 more)
- Tao Zhou 0004 — Beijing Jiaotong University, Institute of Broadband Wireless Mobile Communications, China
- Tao Zhou 0005 — Nanjing Medical University, Department of Histology and Embryology, China
- Tao Zhou 0006 — Nanjing Agricultural University, College of Resources and Environmental Sciences, China
- Tao Zhou 0007 — Hangzhou Dianzi University, School of Management, China
- Tao Zhou 0008 — Inner Mongolia University, College of Computer Science / Key Laboratory of Wireless Networking and Mobile Computing, Hohhot, China
- Tao Zhou 0009 — Ningxia Medical University, College of Science, Yinchuan, China (and 1 more)
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Journal Articles
- 2024
[j32]Shu-Lin Wu, Tao Zhou:
Convergence Analysis of the Parareal Algorithm with Nonuniform Fine Time Grid. SIAM J. Numer. Anal. 62(5): 2308-2330 (2024)- 2023
- [j31]Zhiwei Gao, Liang Yan, Tao Zhou:
Failure-Informed Adaptive Sampling for PINNs. SIAM J. Sci. Comput. 45(4): 1971- (2023) - 2021
- [j30]Shu-Lin Wu, Tao Zhou:
Parallel implementation for the two-stage SDIRK methods via diagonalization. J. Comput. Phys. 428: 110076 (2021) - [j29]Akil Narayan, Liang Yan, Tao Zhou:
Optimal design for kernel interpolation: Applications to uncertainty quantification. J. Comput. Phys. 430: 110094 (2021) - [j28]Hong-lin Liao, Tao Tang, Tao Zhou:
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen-Cahn Equation. SIAM J. Sci. Comput. 43(5): A3503-A3526 (2021) - 2020
- [j27]Hong-lin Liao, Tao Tang, Tao Zhou:
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. J. Comput. Phys. 414: 109473 (2020) - [j26]Hong-lin Liao, Tao Tang, Tao Zhou:
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen-Cahn Equation. SIAM J. Numer. Anal. 58(4): 2294-2314 (2020) - [j25]Jie Yang, Weidong Zhao, Tao Zhou:
A Unified Probabilistic Discretization Scheme for FBSDEs: Stability, Consistency, and Convergence Analysis. SIAM J. Numer. Anal. 58(4): 2351-2375 (2020) - [j24]Ling Guo, Akil Narayan, Tao Zhou:
Constructing Least-Squares Polynomial Approximations. SIAM Rev. 62(2): 483-508 (2020) - [j23]Tao Tang, Li-Lian Wang, Huifang Yuan, Tao Zhou:
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains. SIAM J. Sci. Comput. 42(2): A585-A611 (2020) - 2019
- [j22]Liang Yan, Tao Zhou:
Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems. J. Comput. Phys. 381: 110-128 (2019) - [j21]Ling Guo, Yongle Liu, Tao Zhou:
Data-driven polynomial chaos expansions: A weighted least-square approximation. J. Comput. Phys. 381: 129-145 (2019) - [j20]Jie Yang, Weidong Zhao, Tao Zhou:
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations. J. Sci. Comput. 79(3): 1409-1432 (2019) - [j19]Zhiwei Fang, Jichun Li, Tao Tang, Tao Zhou:
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs. J. Sci. Comput. 80(1): 248-267 (2019) - [j18]Tao Tang, Haijun Yu, Tao Zhou:
On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations. SIAM J. Sci. Comput. 41(6): A3757-A3778 (2019) - 2018
- [j17]Shu-Lin Wu, Tao Zhou:
Parareal algorithms with local time-integrators for time fractional differential equations. J. Comput. Phys. 358: 135-149 (2018) - [j16]Ling Guo, Akil Narayan, Tao Zhou:
A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions. J. Comput. Phys. 367: 49-64 (2018) - [j15]Yabing Sun, Weidong Zhao, Tao Zhou:
Explicit theta-Schemes for Mean-Field Backward Stochastic Differential Equations. SIAM J. Numer. Anal. 56(4): 2672-2697 (2018) - [j14]Ling Guo, Akil Narayan, Liang Yan, Tao Zhou:
Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation. SIAM J. Sci. Comput. 40(1) (2018) - 2017
- [j13]Shu-Lin Wu, Tao Zhou:
Fast parareal iterations for fractional diffusion equations. J. Comput. Phys. 329: 210-226 (2017) - [j12]Akil Narayan, John D. Jakeman, Tao Zhou:
A Christoffel function weighted least squares algorithm for collocation approximations. Math. Comput. 86(306): 1913-1947 (2017) - [j11]Bo Gong, Wenbin Liu, Tao Tang, Weidong Zhao, Tao Zhou:
An Efficient Gradient Projection Method for Stochastic Optimal Control Problems. SIAM J. Numer. Anal. 55(6): 2982-3005 (2017) - [j10]Ling Guo, Akil Narayan, Tao Zhou, Yuhang Chen:
Stochastic Collocation Methods via ℓ1 Minimization Using Randomized Quadratures. SIAM J. Sci. Comput. 39(1) (2017) - [j9]John D. Jakeman, Akil Narayan, Tao Zhou:
A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions. SIAM J. Sci. Comput. 39(3) (2017) - 2016
- [j8]Yu Fu, Weidong Zhao, Tao Zhou:
Multistep Schemes for Forward Backward Stochastic Differential Equations with Jumps. J. Sci. Comput. 69(2): 651-672 (2016) - 2015
- [j7]Tao Zhou, Akil Narayan, Dongbin Xiu:
Weighted discrete least-squares polynomial approximation using randomized quadratures. J. Comput. Phys. 298: 787-800 (2015) - [j6]Hehu Xie, Tao Zhou:
A multilevel finite element method for Fredholm integral eigenvalue problems. J. Comput. Phys. 303: 173-184 (2015) - 2014
- [j5]Weidong Zhao, Yu Fu, Tao Zhou:
New Kinds of High-Order Multistep Schemes for Coupled Forward Backward Stochastic Differential Equations. SIAM J. Sci. Comput. 36(4) (2014) - [j4]Tao Tang, Tao Zhou:
On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification. SIAM J. Sci. Comput. 36(5) (2014) - [j3]Tao Zhou, Akil Narayan, Zhiqiang Xu:
Multivariate Discrete Least-Squares Approximations with a New Type of Collocation Grid. SIAM J. Sci. Comput. 36(5) (2014) - 2012
- [j2]Tao Zhou, Tao Tang:
Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials. J. Sci. Comput. 51(2): 274-292 (2012) - 2010
- [j1]Tao Zhou, Tao Tang:
Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations. J. Comput. Phys. 229(22): 8225-8230 (2010)
Informal and Other Publications
- 2023
- [i15]Zhiwei Gao, Tao Tang, Liang Yan, Tao Zhou:
Failure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation. CoRR abs/2302.01529 (2023) - [i14]Zhiwei Gao, Liang Yan, Tao Zhou:
Adaptive operator learning for infinite-dimensional Bayesian inverse problems. CoRR abs/2310.17844 (2023) - 2022
- [i13]Hong-lin Liao, Tao Tang, Tao Zhou:
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations. CoRR abs/2204.12742 (2022) - [i12]Zhiwei Gao, Liang Yan, Tao Zhou:
Failure-informed adaptive sampling for PINNs. CoRR abs/2210.00279 (2022) - 2021
- [i11]Hong-Lin Liao, Tao Tang, Tao Zhou:
A new discrete energy technique for multi-step backward difference formulas. CoRR abs/2102.04644 (2021) - [i10]Liang Yan, Tao Zhou:
Stein variational gradient descent with local approximations. CoRR abs/2104.06276 (2021) - [i9]Liang Yan, Tao Zhou:
An acceleration strategy for randomize-then-optimize sampling via deep neural networks. CoRR abs/2104.06285 (2021) - [i8]Akil Narayan, Liang Yan, Tao Zhou:
Optimal design for kernel interpolation: applications to uncertainty quantification. CoRR abs/2104.06291 (2021) - 2020
- [i7]Hong-lin Liao, Tao Tang, Tao Zhou:
On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation. CoRR abs/2003.00421 (2020) - [i6]Hong-lin Liao, Xuehua Song, Tao Tang, Tao Zhou:
Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection. CoRR abs/2008.03185 (2020) - [i5]Ling Guo, Akil Narayan, Yongle Liu, Tao Zhou:
Sparse approximation of data-driven Polynomial Chaos expansions: an induced sampling approach. CoRR abs/2008.10121 (2020) - [i4]Hong-lin Liao, Tao Tang, Tao Zhou:
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators. CoRR abs/2011.13383 (2020) - [i3]Hong-lin Liao, Tao Tang, Tao Zhou:
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation. CoRR abs/2012.10740 (2020) - 2019
- [i2]Hong-lin Liao, Tao Tang, Tao Zhou:
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations. CoRR abs/1909.10216 (2019) - [i1]Liang Yan, Tao Zhou:
An adaptive surrogate modeling based on deep neural networks for large-scale Bayesian inverse problems. CoRR abs/1911.08926 (2019)
Coauthor Index
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