Tao Zhou
Affiliations:- Southern University of Science and Technology, Department of Mathematics and International Center for Mathematics, Shenzhen, China
- Chinese Academy of Sciences, Institute of Computational Mathematics, Beijing, China
According to our database1,
Tao Zhou
authored at least 41 papers
between 2010 and 2023.
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Bibliography
2023
CoRR, 2023
Failure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation.
CoRR, 2023
2022
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations.
CoRR, 2022
2021
An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen-Cahn Equation.
SIAM J. Sci. Comput., 2021
J. Comput. Phys., 2021
J. Comput. Phys., 2021
An acceleration strategy for randomize-then-optimize sampling via deep neural networks.
CoRR, 2021
CoRR, 2021
2020
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains.
SIAM J. Sci. Comput., 2020
A Unified Probabilistic Discretization Scheme for FBSDEs: Stability, Consistency, and Convergence Analysis.
SIAM J. Numer. Anal., 2020
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen-Cahn Equation.
SIAM J. Numer. Anal., 2020
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations.
J. Comput. Phys., 2020
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators.
CoRR, 2020
Sparse approximation of data-driven Polynomial Chaos expansions: an induced sampling approach.
CoRR, 2020
Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection.
CoRR, 2020
2019
On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations.
SIAM J. Sci. Comput., 2019
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations.
J. Sci. Comput., 2019
J. Sci. Comput., 2019
Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems.
J. Comput. Phys., 2019
J. Comput. Phys., 2019
An adaptive surrogate modeling based on deep neural networks for large-scale Bayesian inverse problems.
CoRR, 2019
2018
Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation.
SIAM J. Sci. Comput., 2018
SIAM J. Numer. Anal., 2018
Parareal algorithms with local time-integrators for time fractional differential equations.
J. Comput. Phys., 2018
A gradient enhanced <i>ℓ</i><sub>1</sub>-minimization for sparse approximation of polynomial chaos expansions.
J. Comput. Phys., 2018
2017
A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions.
SIAM J. Sci. Comput., 2017
Stochastic Collocation Methods via ℓ<sub>1</sub> Minimization Using Randomized Quadratures.
SIAM J. Sci. Comput., 2017
SIAM J. Numer. Anal., 2017
A Christoffel function weighted least squares algorithm for collocation approximations.
Math. Comput., 2017
2016
J. Sci. Comput., 2016
2015
Weighted discrete least-squares polynomial approximation using randomized quadratures.
J. Comput. Phys., 2015
J. Comput. Phys., 2015
2014
Multivariate Discrete Least-Squares Approximations with a New Type of Collocation Grid.
SIAM J. Sci. Comput., 2014
New Kinds of High-Order Multistep Schemes for Coupled Forward Backward Stochastic Differential Equations.
SIAM J. Sci. Comput., 2014
On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification.
SIAM J. Sci. Comput., 2014
2012
J. Sci. Comput., 2012
2010
Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations.
J. Comput. Phys., 2010