Zhi Zhou

Publication Activity (10 Years)

Years Active: 2012-2024
Publications (10 Years): 56

Top Topics

Inverse Problems

Top Venues

SIAM J. Numer. Anal.

SIAM J. Sci. Comput.

Numerische Mathematik

Publications

Siyu Cen, Kwancheol Shin, Zhi Zhou
Determining a Time-Varying Potential in Time-Fractional Diffusion from Observation at a Single Point. CoRR (2024)
Siyu Cen, Bangti Jin, Yavar Kian, Eric Soccorsi, Rachid Zarouf, Zhi Zhou
Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time. CoRR (2024)
Bangti Jin, Qimeng Quan, Barbara Wohlmuth, Zhi Zhou
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion. CoRR (2024)
Tianhao Hu, Bangti Jin, Zhi Zhou
Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks. SIAM J. Sci. Comput. 46 (4) (2024)
Minghua Chen, Jiankang Shi, Zhen Song, Yubin Yan, Zhi Zhou
High-order BDF convolution quadrature for stochastic fractional evolution equations driven by integrated additive noise. CoRR (2024)
Bangti Jin, Xiyao Li, Qimeng Quan, Zhi Zhou
Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks. SIAM J. Imaging Sci. 17 (1) (2024)
Bangti Jin, Xiliang Lu, Qimeng Quan, Zhi Zhou
Numerical Recovery of the Diffusion Coefficient in Diffusion Equations from Terminal Measurement. CoRR (2024)
Siyu Cen, Bangti Jin, Kwancheol Shin, Zhi Zhou
Electrical impedance tomography with deep Calderón method. J. Comput. Phys. 493 (2023)
Siyu Cen, Bangti Jin, Qimeng Quan, Zhi Zhou
Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems. CoRR (2023)
Siyu Cen, Bangti Jin, Kwancheol Shin, Zhi Zhou
Electrical Impedance Tomography with Deep Calderón Method. CoRR (2023)
Buyang Li, Zongze Yang, Zhi Zhou
High-order splitting finite element methods for the subdiffusion equation with limited smoothing property. CoRR (2023)
Siyu Cen, Zhi Zhou
Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates. CoRR (2023)
Bangti Jin, Kwancheol Shin, Zhi Zhou
Numerical Recovery of a Time-Dependent Potential in Subdiffusion. CoRR (2023)
Bangti Jin, Yavar Kian, Zhi Zhou
Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time. SIAM J. Appl. Math. 83 (4) (2023)
Siyu Cen, Bangti Jin, Yikan Liu, Zhi Zhou
Recovery of Multiple Parameters in Subdiffusion from One Lateral Boundary Measurement. CoRR (2023)
Bangti Jin, Xiyao Li, Qimeng Quan, Zhi Zhou
Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks. CoRR (2023)
Tianhao Hu, Bangti Jin, Zhi Zhou
Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks. CoRR (2023)
Bangti Jin, Ramesh Sau, Luowei Yin, Zhi Zhou
Solving Elliptic Optimal Control Problems using Physics Informed Neural Networks. CoRR (2023)
Tianhao Hu, Bangti Jin, Zhi Zhou
Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method. SIAM J. Sci. Comput. 45 (4) (2023)
Bangti Jin, Qingle Lin, Zhi Zhou
Learning Coarse Propagators in Parareal Algorithm. CoRR (2023)
Tianhao Hu, Bangti Jin, Zhi Zhou
Solving Elliptic Problems with Singular Sources using Singularity Splitting Deep Ritz Method. CoRR (2022)
Bangti Jin, Xiliang Lu, Qimeng Quan, Zhi Zhou
Convergence Rate Analysis of Galerkin Approximation of Inverse Potential Problem. CoRR (2022)
Bangti Jin, Yavar Kian, Zhi Zhou
Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time. CoRR (2022)
Jiang Yang, Zhaoming Yuan, Zhi Zhou
Arbitrarily High-order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen-Cahn Equations. CoRR (2021)
Georgios Akrivis, Minghua Chen, Fan Yu, Zhi Zhou
The Energy Technique for the Six-Step BDF Method. SIAM J. Numer. Anal. 59 (5) (2021)
Bangti Jin, Yavar Kian, Zhi Zhou
Reconstruction of a Space-Time Dependent Source in Subdiffusion Models via a Perturbation Approach. CoRR (2021)
Shuonan Wu, Zhi Zhou
A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations. SIAM J. Sci. Comput. 43 (6) (2021)
Bangti Jin, Zhi Zhou
Recovery of a Space-Time Dependent Diffusion Coefficient in Subdiffusion: Stability, Approximation and Error Analysis. CoRR (2021)
Bangti Jin, Zhi Zhou
Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems. SIAM J. Numer. Anal. 59 (1) (2021)
Bangti Jin, Zhi Zhou
Numerical Estimation of a Diffusion Coefficient in Subdiffusion. SIAM J. Control. Optim. 59 (2) (2021)
Bangti Jin, Yavar Kian, Zhi Zhou
Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach. SIAM J. Math. Anal. 53 (4) (2021)
Jiang Yang, Zhaoming Yuan, Zhi Zhou
Robust Convergence of Parareal Algorithms with Arbitrarily High-order Fine Propagators. CoRR (2021)
Bangti Jin, Zhi Zhou
Recovering the Potential in One-Dimensional Time-Fractional Diffusion with Unknown Initial Condition and Source. CoRR (2021)
Bangti Jin, Zhi Zhou
Incomplete iterative solution of subdiffusion. Numerische Mathematik 145 (3) (2020)
Bangti Jin, Zhi Zhou
Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems. CoRR (2020)
Georgios Akrivis, Minghua Chen, Fan Yu, Zhi Zhou
The energy technique for the six-step BDF method. CoRR (2020)
Buyang Li, Kai Wang, Zhi Zhou
Long-time Accurate Symmetrized Implicit-explicit BDF Methods for a Class of Parabolic Equations with Non-self-adjoint Operators. SIAM J. Numer. Anal. 58 (1) (2020)
Buyang Li, Jiang Yang, Zhi Zhou
Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations. CoRR (2020)
Bangti Jin, Buyang Li, Zhi Zhou
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Numerische Mathematik 145 (4) (2020)
Bangti Jin, Buyang Li, Zhi Zhou
Subdiffusion with Time-Dependent Coefficients: Improved Regularity and Second-Order Time Stepping. CoRR (2020)
Buyang Li, Jiang Yang, Zhi Zhou
Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations. SIAM J. Sci. Comput. 42 (6) (2020)
Kai Wang, Zhi Zhou
High-order Time Stepping Schemes for Semilinear Subdiffusion Equations. SIAM J. Numer. Anal. 58 (6) (2020)
Bangti Jin, Zhi Zhou
An Inverse Potential Problem for Subdiffusion: Stability and Reconstruction. CoRR (2020)
Kai Wang, Zhi Zhou
High-order Time Stepping Schemes for Semilinear Subdiffusion Equations. CoRR (2020)
Sheng Chen, Jie Shen, Zhimin Zhang, Zhi Zhou
A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions. SIAM J. Sci. Comput. 42 (2) (2020)
Bangti Jin, Zhi Zhou
Numerical Estimation of a Diffusion Coefficient in Subdiffusion. CoRR (2019)
Bangti Jin, Buyang Li, Zhi Zhou
Subdiffusion with a time-dependent coefficient: Analysis and numerical solution. Math. Comput. 88 (319) (2019)
Bangti Jin, Zhi Zhou
Incomplete Iterative Solution of the Subdiffusion Problem. CoRR (2019)
Beiping Duan, Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou
Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems. Comput. Methods Appl. Math. 18 (1) (2018)
Bangti Jin, Buyang Li, Zhi Zhou
Discrete maximal regularity of time-stepping schemes for fractional evolution equations. Numerische Mathematik 138 (1) (2018)
Bangti Jin, Buyang Li, Zhi Zhou
Numerical Analysis of Nonlinear Subdiffusion Equations. SIAM J. Numer. Anal. 56 (1) (2018)
Bangti Jin, Raytcho D. Lazarov, Vidar Thomée, Zhi Zhou
On nonnegativity preservation in finite element methods for subdiffusion equations. Math. Comput. 86 (307) (2017)
Bangti Jin, Buyang Li, Zhi Zhou
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations. SIAM J. Sci. Comput. 39 (6) (2017)
Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations. SIAM J. Numer. Anal. 54 (1) (2016)
Bangti Jin, Raytcho D. Lazarov, Xiliang Lu, Zhi Zhou
A simple finite element method for boundary value problems with a Riemann-Liouville derivative. J. Comput. Appl. Math. 293 (2016)
Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data. SIAM J. Sci. Comput. 38 (1) (2016)
Bangti Jin, Raytcho D. Lazarov, Yikan Liu, Zhi Zhou
The Galerkin finite element method for a multi-term time-fractional diffusion equation. J. Comput. Phys. 281 (2015)
Emilia G. Bazhlekova, Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Numerische Mathematik 131 (1) (2015)
Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou
Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation. SIAM J. Numer. Anal. 52 (5) (2014)
Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations. SIAM J. Numer. Anal. 51 (1) (2013)
Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1. NAA (2012)