Zhi Zhou

Orcid: 0000-0002-3439-0313

Affiliations:
  • Hong Kong Polytechnic University, Hong Kong
  • Columbia University, Department of Applied Physics and Applied Mathematics, New York, NY, USA (2015 - 2017)
  • Texas A&M University, Department of Mathematics, College Station, TX, USA (PhD 2015)


According to our database1, Zhi Zhou authored at least 60 papers between 2012 and 2024.

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Bibliography

2024
Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks.
SIAM J. Imaging Sci., March, 2024

Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks.
SIAM J. Sci. Comput., 2024

Point Source Identification Using Singularity Enriched Neural Networks.
CoRR, 2024

Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion.
CoRR, 2024

Determining a Time-Varying Potential in Time-Fractional Diffusion from Observation at a Single Point.
CoRR, 2024

Numerical Recovery of the Diffusion Coefficient in Diffusion Equations from Terminal Measurement.
CoRR, 2024

Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time.
CoRR, 2024

High-order BDF convolution quadrature for stochastic fractional evolution equations driven by integrated additive noise.
CoRR, 2024

2023
Electrical impedance tomography with deep Calderón method.
J. Comput. Phys., November, 2023

Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method.
SIAM J. Sci. Comput., August, 2023

Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time.
SIAM J. Appl. Math., August, 2023

Learning Coarse Propagators in Parareal Algorithm.
CoRR, 2023

Numerical Recovery of a Time-Dependent Potential in Subdiffusion.
CoRR, 2023

Solving Elliptic Optimal Control Problems using Physics Informed Neural Networks.
CoRR, 2023

Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates.
CoRR, 2023

High-order splitting finite element methods for the subdiffusion equation with limited smoothing property.
CoRR, 2023

Recovery of Multiple Parameters in Subdiffusion from One Lateral Boundary Measurement.
CoRR, 2023

Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems.
CoRR, 2023

2022
Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation.
SIAM J. Sci. Comput., October, 2022

Identification of Potential in Diffusion Equations from Terminal Observation: Analysis and Discrete Approximation.
SIAM J. Numer. Anal., October, 2022

A Uniform Spectral Analysis for a Preconditioned All-at-Once System from First-Order and Second-Order Evolutionary Problems.
SIAM J. Matrix Anal. Appl., September, 2022

Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen-Cahn Equations.
J. Sci. Comput., 2022

Modified BDF2 schemes for subdiffusion models with a singular source term.
CoRR, 2022

Convergence Rate Analysis of Galerkin Approximation of Inverse Potential Problem.
CoRR, 2022

Nonlocal diffusion models with consistent local and fractional limits.
CoRR, 2022

2021
A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations.
SIAM J. Sci. Comput., 2021

Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems.
SIAM J. Numer. Anal., 2021

The Energy Technique for the Six-Step BDF Method.
SIAM J. Numer. Anal., 2021

Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach.
SIAM J. Math. Anal., 2021

Numerical Estimation of a Diffusion Coefficient in Subdiffusion.
SIAM J. Control. Optim., 2021

Backward Difference Formulae: The Energy Technique for Subdiffusion Equation.
J. Sci. Comput., 2021

Recovery of a Space-Time Dependent Diffusion Coefficient in Subdiffusion: Stability, Approximation and Error Analysis.
CoRR, 2021

Robust Convergence of Parareal Algorithms with Arbitrarily High-order Fine Propagators.
CoRR, 2021

Recovering the Potential in One-Dimensional Time-Fractional Diffusion with Unknown Initial Condition and Source.
CoRR, 2021

2020
Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations.
SIAM J. Sci. Comput., 2020

A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions.
SIAM J. Sci. Comput., 2020

High-order Time Stepping Schemes for Semilinear Subdiffusion Equations.
SIAM J. Numer. Anal., 2020

Long-time Accurate Symmetrized Implicit-explicit BDF Methods for a Class of Parabolic Equations with Non-self-adjoint Operators.
SIAM J. Numer. Anal., 2020

Incomplete iterative solution of subdiffusion.
Numerische Mathematik, 2020

Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping.
Numerische Mathematik, 2020

Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods.
J. Sci. Comput., 2020

Backward difference formula: The energy technique for subdiffusion equation.
CoRR, 2020

An Inverse Potential Problem for Subdiffusion: Stability and Reconstruction.
CoRR, 2020

Nonlocal-in-time dynamics and crossover of diffusive regimes.
CoRR, 2020

Numerical methods for nonlocal and fractional models.
Acta Numer., 2020

2019
Subdiffusion with a time-dependent coefficient: Analysis and numerical solution.
Math. Comput., 2019

Incomplete Iterative Solution of the Subdiffusion Problem.
CoRR, 2019

2018
Numerical Analysis of Nonlinear Subdiffusion Equations.
SIAM J. Numer. Anal., 2018

Discrete maximal regularity of time-stepping schemes for fractional evolution equations.
Numerische Mathematik, 2018

Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems.
Comput. Methods Appl. Math., 2018

2017
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations.
SIAM J. Sci. Comput., 2017

On nonnegativity preservation in finite element methods for subdiffusion equations.
Math. Comput., 2017

2016
Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data.
SIAM J. Sci. Comput., 2016

A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations.
SIAM J. Numer. Anal., 2016

A simple finite element method for boundary value problems with a Riemann-Liouville derivative.
J. Comput. Appl. Math., 2016

2015
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid.
Numerische Mathematik, 2015

The Galerkin finite element method for a multi-term time-fractional diffusion equation.
J. Comput. Phys., 2015

2014
Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation.
SIAM J. Numer. Anal., 2014

2013
Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations.
SIAM J. Numer. Anal., 2013

2012
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012


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