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 42 papers between 2010 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Convergence Analysis of the Parareal Algorithm with Nonuniform Fine Time Grid.
SIAM J. Numer. Anal., 2024

2023
Failure-Informed Adaptive Sampling for PINNs.
SIAM J. Sci. Comput., August, 2023

Adaptive operator learning for infinite-dimensional Bayesian inverse problems.
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

Parallel implementation for the two-stage SDIRK methods via diagonalization.
J. Comput. Phys., 2021

Optimal design for kernel interpolation: Applications to uncertainty quantification.
J. Comput. Phys., 2021

An acceleration strategy for randomize-then-optimize sampling via deep neural networks.
CoRR, 2021

Stein variational gradient descent with local approximations.
CoRR, 2021

A new discrete energy technique for multi-step backward difference formulas.
CoRR, 2021

2020
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains.
SIAM J. Sci. Comput., 2020

Constructing Least-Squares Polynomial Approximations.
SIAM Rev., 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

Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs.
J. Sci. Comput., 2019

Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems.
J. Comput. Phys., 2019

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

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

An Efficient Gradient Projection Method for Stochastic Optimal Control Problems.
SIAM J. Numer. Anal., 2017

A Christoffel function weighted least squares algorithm for collocation approximations.
Math. Comput., 2017

Fast parareal iterations for fractional diffusion equations.
J. Comput. Phys., 2017

2016
Multistep Schemes for Forward Backward Stochastic Differential Equations with Jumps.
J. Sci. Comput., 2016

2015
Weighted discrete least-squares polynomial approximation using randomized quadratures.
J. Comput. Phys., 2015

A multilevel finite element method for Fredholm integral eigenvalue problems.
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
Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials.
J. Sci. Comput., 2012

2010
Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations.
J. Comput. Phys., 2010


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