Tao Zhou

发表

High order numerical schemes for second-order FBSDEs with applications to stochastic optimal control

W. Zhao, K. Tao, Tao Zhou, 2015, 1502.03206.

Hermite spectral collocation methods for fractional PDEs in unbounded domains

T. Tang, Tao Zhou, Huifang Yuan, 2018, 1801.09073.

A Gradient-Enhanced L1 Approach for the Recovery of Sparse Trigonometric Polynomials

Tao Zhou, Zhiqiang Xu, 2018 .

CONVERGENCE ANALYSIS FOR SPECTRAL APPROXIMATION TO A SCALAR TRANSPORT EQUATION WITH A RANDOM WAVE SPEED

Tao Tang, Tao Zhou, T. Tang, 2012 .

A Stochastic Collocation Method for Delay Differential Equations with Random Input

Tao Zhou, 2014 .

Solving time‐periodic fractional diffusion equations via diagonalization technique and multigrid

Hui Zhang, Tao Zhou, Shu-Lin Wu, 2018, Numer. Linear Algebra Appl..

Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations

T. Tang, Tao Zhou, Hong-lin Liao, 2022, Journal of Computational Mathematics.

Learning high dimensional stochastic partial differential equations in a predictor-corrector framework

Tao Zhou, Ran Zhang, He Zhang, 2022, ArXiv.

Stochastic Galerkin methods for elliptic interface problems with random input

Tao Zhou, Tao Zhou, 2011, J. Comput. Appl. Math..

Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs

Jichun Li, Z. Fang, T. Tang, 2019, Journal of Scientific Computing.

Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs

Tao Tang, Tao Zhou, Jichun Li, 2019, J. Sci. Comput..

ParaDIAG: Parallel-in-Time Algorithms Based on the Diagonalization Technique

Shulin Wu, M. Gander, Tao Zhou, 2020, ArXiv.

A Uniform Spectral Analysis for a Preconditioned All-at-Once System from First-Order and Second-Order Evolutionary Problems

Shulin Wu, Tao Zhou, Zhi Zhou, 2022, SIAM J. Matrix Anal. Appl..

Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems

Liang Yan, Tao Zhou, Tao Zhou, 2018, J. Comput. Phys..

Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs

Fabio Nobile, Tao Zhou, Eleonora Musharbash, 2015, SIAM J. Sci. Comput..

Stochastic collocation on unstructured multivariate meshes

Tao Zhou, Akil Narayan, Tao Zhou, 2015, 1501.05891.

On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification

Tao Tang, Tao Zhou, T. Tang, 2014, SIAM J. Sci. Comput..

MATHICSE Technical Report : On the dynamically orthogonal approximation of time dependent random PDEs

Fabio Nobile, Tao Zhou, Eleonora Musharbash, 2014 .

Multivariate Discrete Least-Squares Approximations with a New Type of Collocation Grid

Tao Zhou, Zhiqiang Xu, Akil C. Narayan, 2014, SIAM J. Sci. Comput..

On Sparse Interpolation and the Design of Deterministic Interpolation Points pdf

Tao Zhou, Zhiqiang Xu, Tao Zhou, 2013, SIAM J. Sci. Comput..

Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials

Tao Tang, Tao Zhou, T. Tang, 2012, J. Sci. Comput..

Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials

T. Tang, Tao Zhou, 2011, Journal of Scientific Computing.

An Efficient Gradient Projection Method for Stochastic Optimal Control Problems

Tao Tang, Weidong Zhao, Wenbin Liu, 2017, SIAM J. Numer. Anal..

An Efficient Numerical Algorithm for Solving Data Driven Feedback Control Problems

J. Yong, Tao Zhou, F. Bao, 2020, Journal of Scientific Computing.

Deferred Correction Methods for Forward Backward Stochastic Differential Equations

Weidong Zhao, Tao Tang, Tao Zhou, 2017 .

New Kinds of High-Order Multistep Schemes for Coupled Forward Backward Stochastic Differential Equations

Yu Fu, Weidong Zhao, Tao Zhou, 2014, SIAM J. Sci. Comput..

Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation

Liang Yan, Tao Zhou, Ling Guo, 2017, SIAM J. Sci. Comput..

On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation

Tao Zhou, Hong-lin Liao, Tao Tang, 2020, SIAM J. Numer. Anal..

On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

Tao Zhou, Haijun Yu, Tao Tang, 2018, SIAM J. Sci. Comput..

Optimal design for kernel interpolation: Applications to uncertainty quantification pdf

Akil Narayan, Tao Zhou, Liang Yan, 2021, J. Comput. Phys..

Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains

Tao Zhou, Li-Lian Wang, Tao Tang, 2019, SIAM J. Sci. Comput..

Parallel implementation for the two-stage SDIRK methods via diagonalization

Tao Zhou, Shu-Lin Wu, Shulin Wu, 2021, J. Comput. Phys..

Stochastic collocation methods via $L_1$ minimization using randomized quadratures

Yuhang Chen, Tao Zhou, Ling Guo, 2016, 1602.00995.

On the Choice of Design Points for Least Square Polynomial Approximations with Application to Uncertainty Quantification

Tao Zhou, Zhen Gao, Tao Zhou, 2014 .

Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

Tao Tang, Tao Zhou, T. Tang, 2010 .

A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions

Akil C. Narayan, John D. Jakeman, Tao Zhou, 2016, SIAM J. Sci. Comput..

A new discrete energy technique for multi-step backward difference formulas pdf

Tao Tang, Tao Zhou, Honglin Liao, 2021, CSIAM Transactions on Applied Mathematics.

Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection pdf

Tao Zhou, Xuehua Song, Hong-lin Liao, 2020, Science China Mathematics.

A New Kind of High-Order Multi-step Schemes for Forward Backward Stochastic Differential Equations

W. Zhao, Tao Zhou, Yu Fu, 2013, 1310.5307.

A Christoffel function weighted least squares algorithm for collocation approximations

Tao Zhou, Akil C. Narayan, John D. Jakeman, 2014, Math. Comput..

Stability implies robust convergence of a class of diagonalization-based iterative algorithms pdf

Tao Zhou, Shulin Wu, Zhi Zhou, 2021, ArXiv.

A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations

Jun Liu, Shulin Wu, Tao Zhou, 2021, Advances in Computational Mathematics.

Convergence Analysis for Three Parareal Solvers

Tao Zhou, Shu-Lin Wu, Shulin Wu, 2015, SIAM J. Sci. Comput..

Normalizing Field Flows: Solving forward and inverse stochastic differential equations using Physics-Informed flow model pdf

Hao Wu, Tao Zhou, Ling Guo, 2021, J. Comput. Phys..

Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations

Tao Tang, Tao Zhou, T. Tang, 2010, J. Comput. Phys..

Data-driven polynomial chaos expansions: A weighted least-square approximation

Tao Zhou, Ling Guo, Yongle Liu, 2018, J. Comput. Phys..

AN ADAPTIVE MULTIFIDELITY PC-BASED ENSEMBLE KALMAN INVERSION FOR INVERSE PROBLEMS

Tao Zhou, Liang Yan, Tao Zhou, 2018, International Journal for Uncertainty Quantification.

A Gauss-Seidel Type Method for Dynamic Nonlinear Complementarity Problems

Xiaojun Chen, Tao Zhou, Shu-Lin Wu, 2020, SIAM J. Control. Optim..

Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators pdf

Tao Zhou, Hong-lin Liao, Tao Tang, 2020, Science China Mathematics.

An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation pdf

Tao Zhou, Hong-lin Liao, Tao Tang, 2020, SIAM J. Sci. Comput..

A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations pdf

Tao Zhou, Hong-lin Liao, Tao Tang, 2019, J. Comput. Phys..

A multilevel finite element method for Fredholm integral eigenvalue problems

Hehu Xie, Tao Zhou, Hehu Xie, 2015, J. Comput. Phys..

Explicit theta-Schemes for Mean-Field Backward Stochastic Differential Equations

Weidong Zhao, Tao Zhou, Yabing Sun, 2018, SIAM J. Numer. Anal..

A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions

Tao Zhou, Ling Guo, Akil C. Narayan, 2018, J. Comput. Phys..

Weighted discrete least-squares polynomial approximation using randomized quadratures

Dongbin Xiu, Tao Zhou, Akil C. Narayan, 2015, J. Comput. Phys..

Strong Stability Preserving Multistep Schemes for Forward Backward Stochastic Differential Equations

Tao Zhou, Weidong Zhao, Shuixin Fang, 2023, Journal of Scientific Computing.

On discrete least square projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification

T. Tang, Tao Zhou, 2014, 1403.6579.

Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations

T. Tang, Tao Zhou, Hong-lin Liao, 2023, BIT Numerical Mathematics.

Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems

Tao Zhou, Liang Yan, 2018, J. Comput. Phys..

Fast parareal iterations for fractional diffusion equations

Tao Zhou, Shu-Lin Wu, Shulin Wu, 2017, J. Comput. Phys..

Numerical method for hyperbolic conservation laws via forward backward SDEs

W. Zhao, Tao Zhou, Y. Siu, 2013, 1311.0364.