Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1. - Bangti Jin; Raytcho D. Lazarov; Joseph E. Pasciak; Zhi Zhou 002 (NAA, 2012)

Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations. - Bangti Jin; Raytcho D. Lazarov; Zhi Zhou 002 (SIAM J. Numer. Anal., 2013)

Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation. - Bangti Jin; Raytcho D. Lazarov; Joseph E. Pasciak; Zhi Zhou 002 (SIAM J. Numer. Anal., 2014)

The Galerkin finite element method for a multi-term time-fractional diffusion equation. - Bangti Jin; Raytcho D. Lazarov; Yikan Liu; Zhi Zhou 002 (J. Comput. Phys., 2015)

An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. - Emilia G. Bazhlekova; Bangti Jin; Raytcho D. Lazarov; Zhi Zhou 002 (Numerische Mathematik, 2015)

A simple finite element method for boundary value problems with a Riemann-Liouville derivative. - Bangti Jin; Raytcho D. Lazarov; Xiliang Lu; Zhi Zhou 002 (J. Comput. Appl. Math., 2016)

A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations. - Bangti Jin; Raytcho D. Lazarov; Zhi Zhou 002 (SIAM J. Numer. Anal., 2016)

Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data. - Bangti Jin; Raytcho D. Lazarov; Zhi Zhou 002 (SIAM J. Sci. Comput., 2016)

On nonnegativity preservation in finite element methods for subdiffusion equations. - Bangti Jin; Raytcho D. Lazarov; Vidar Thomée; Zhi Zhou 002 (Math. Comput., 2017)

Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations. - Bangti Jin; Buyang Li; Zhi Zhou 002 (SIAM J. Sci. Comput., 2017)

Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems. - Beiping Duan; Bangti Jin; Raytcho D. Lazarov; Joseph E. Pasciak; Zhi Zhou 002 (Comput. Methods Appl. Math., 2018)

Discrete maximal regularity of time-stepping schemes for fractional evolution equations. - Bangti Jin; Buyang Li; Zhi Zhou 002 (Numerische Mathematik, 2018)

Numerical Analysis of Nonlinear Subdiffusion Equations. - Bangti Jin; Buyang Li; Zhi Zhou 002 (SIAM J. Numer. Anal., 2018)

Incomplete Iterative Solution of the Subdiffusion Problem. - Bangti Jin; Zhi Zhou 002 (CoRR, 2019)

Subdiffusion with a time-dependent coefficient: Analysis and numerical solution. - Bangti Jin; Buyang Li; Zhi Zhou 002 (Math. Comput., 2019)

Numerical methods for nonlocal and fractional models. - Marta D'Elia; Qiang Du 001; Christian Glusa; Max D. Gunzburger; Xiaochuan Tian; Zhi Zhou 002 (Acta Numer., 2020)

Nonlocal-in-time dynamics and crossover of diffusive regimes. - Qiang Du 001; Zhi Zhou 002 (CoRR, 2020)

An Inverse Potential Problem for Subdiffusion: Stability and Reconstruction. - Bangti Jin; Zhi Zhou 002 (CoRR, 2020)

Backward difference formula: The energy technique for subdiffusion equation. - Minghua Chen 002; Fan Yu; Zhi Zhou 002 (CoRR, 2020)

Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods. - Qiang Du 001; Jiang Yang; Zhi Zhou 002 (J. Sci. Comput., 2020)

Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. - Bangti Jin; Buyang Li; Zhi Zhou 002 (Numerische Mathematik, 2020)

Incomplete iterative solution of subdiffusion. - Bangti Jin; Zhi Zhou 002 (Numerische Mathematik, 2020)

Long-time Accurate Symmetrized Implicit-explicit BDF Methods for a Class of Parabolic Equations with Non-self-adjoint Operators. - Buyang Li; Kai Wang 050; Zhi Zhou 002 (SIAM J. Numer. Anal., 2020)

High-order Time Stepping Schemes for Semilinear Subdiffusion Equations. - Kai Wang 050; Zhi Zhou 002 (SIAM J. Numer. Anal., 2020)

A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions. - Sheng Chen; Jie Shen 001; Zhimin Zhang 002; Zhi Zhou 002 (SIAM J. Sci. Comput., 2020)

Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations. - Buyang Li; Jiang Yang; Zhi Zhou 002 (SIAM J. Sci. Comput., 2020)

Recovering the Potential in One-Dimensional Time-Fractional Diffusion with Unknown Initial Condition and Source. - Bangti Jin; Zhi Zhou 002 (CoRR, 2021)

Robust Convergence of Parareal Algorithms with Arbitrarily High-order Fine Propagators. - Jiang Yang; Zhaoming Yuan; Zhi Zhou 002 (CoRR, 2021)

Recovery of a Space-Time Dependent Diffusion Coefficient in Subdiffusion: Stability, Approximation and Error Analysis. - Bangti Jin; Zhi Zhou 002 (CoRR, 2021)

Backward Difference Formulae: The Energy Technique for Subdiffusion Equation. - Minghua Chen 002; Fan Yu; Zhi Zhou 002 (J. Sci. Comput., 2021)

Numerical Estimation of a Diffusion Coefficient in Subdiffusion. - Bangti Jin; Zhi Zhou 002 (SIAM J. Control. Optim., 2021)

Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach. - Bangti Jin; Yavar Kian; Zhi Zhou 002 (SIAM J. Math. Anal., 2021)

The Energy Technique for the Six-Step BDF Method. - Georgios Akrivis; Minghua Chen 002; Fan Yu; Zhi Zhou 002 (SIAM J. Numer. Anal., 2021)

Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems. - Bangti Jin; Zhi Zhou 002 (SIAM J. Numer. Anal., 2021)

A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations. - Shuonan Wu; Zhi Zhou 002 (SIAM J. Sci. Comput., 2021)

Nonlocal diffusion models with consistent local and fractional limits. - Qiang Du 001; Xiaochuan Tian; Zhi Zhou 002 (CoRR, 2022)

Convergence Rate Analysis of Galerkin Approximation of Inverse Potential Problem. - Bangti Jin; Xiliang Lu; Qimeng Quan; Zhi Zhou 002 (CoRR, 2022)

Modified BDF2 schemes for subdiffusion models with a singular source term. - Minghua Chen 002; Jiankang Shi; Zhi Zhou 002 (CoRR, 2022)

Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen-Cahn Equations. - Jiang Yang; Zhaoming Yuan; Zhi Zhou 002 (J. Sci. Comput., 2022)

A Uniform Spectral Analysis for a Preconditioned All-at-Once System from First-Order and Second-Order Evolutionary Problems. - Shu-Lin Wu; Tao Zhou; Zhi Zhou 002 (SIAM J. Matrix Anal. Appl., 2022)

Identification of Potential in Diffusion Equations from Terminal Observation: Analysis and Discrete Approximation. - Zhengqi Zhang; Zhidong Zhang; Zhi Zhou 002 (SIAM J. Numer. Anal., 2022)

Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation. - Zhengqi Zhang; Zhi Zhou 002 (SIAM J. Sci. Comput., 2022)

Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems. - Siyu Cen; Bangti Jin; Qimeng Quan; Zhi Zhou 002 (CoRR, 2023)

Recovery of Multiple Parameters in Subdiffusion from One Lateral Boundary Measurement. - Siyu Cen; Bangti Jin; Yikan Liu; Zhi Zhou 002 (CoRR, 2023)

High-order splitting finite element methods for the subdiffusion equation with limited smoothing property. - Buyang Li; Zongze Yang; Zhi Zhou 002 (CoRR, 2023)

Solving Elliptic Optimal Control Problems using Physics Informed Neural Networks. - Bangti Jin; Ramesh Sau; Luowei Yin; Zhi Zhou 002 (CoRR, 2023)

Numerical Recovery of a Time-Dependent Potential in Subdiffusion. - Bangti Jin; Kwancheol Shin; Zhi Zhou 002 (CoRR, 2023)

Learning Coarse Propagators in Parareal Algorithm. - Bangti Jin; Qingle Lin; Zhi Zhou 002 (CoRR, 2023)

Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time. - Bangti Jin; Yavar Kian; Zhi Zhou 002 (SIAM J. Appl. Math., 2023)

Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method. - Tianhao Hu; Bangti Jin; Zhi Zhou 002 (SIAM J. Sci. Comput., 2023)

Electrical impedance tomography with deep Calderón method. - Siyu Cen; Bangti Jin; Kwancheol Shin; Zhi Zhou 002 (J. Comput. Phys., 2023)

High-order BDF convolution quadrature for stochastic fractional evolution equations driven by integrated additive noise. - Minghua Chen 002; Jiankang Shi; Zhen Song; Yubin Yan; Zhi Zhou 002 (CoRR, 2024)

Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time. - Siyu Cen; Bangti Jin; Yavar Kian; Eric Soccorsi; Rachid Zarouf; Zhi Zhou 002 (CoRR, 2024)

Numerical Recovery of the Diffusion Coefficient in Diffusion Equations from Terminal Measurement. - Bangti Jin; Xiliang Lu; Qimeng Quan; Zhi Zhou 002 (CoRR, 2024)

Determining a Time-Varying Potential in Time-Fractional Diffusion from Observation at a Single Point. - Siyu Cen; Kwancheol Shin; Zhi Zhou 002 (CoRR, 2024)

Point Source Identification Using Singularity Enriched Neural Networks. - Tianhao Hu; Bangti Jin; Zhi Zhou 002 (CoRR, 2024)

On an Inverse Problem of the Generalized Bathtub Model of Network Trip Flows. - Kuang Huang; Bangti Jin; Zhi Zhou 002 (CoRR, 2024)

Numerical Reconstruction of Diffusion and Potential Coefficients from Two Observations: Decoupled Recovery and Error Estimates. - Siyu Cen; Zhi Zhou 002 (SIAM J. Numer. Anal., 2024)

Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks. - Tianhao Hu; Bangti Jin; Zhi Zhou 002 (SIAM J. Sci. Comput., 2024)

Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks. - Bangti Jin; Xiyao Li; Qimeng Quan; Zhi Zhou 002 (SIAM J. Imaging Sci., 2024)

Imaging anisotropic conductivity from internal measurements with mixed least-squares deep neural networks. - Siyu Cen; Bangti Jin; Xiyao Li; Zhi Zhou 002 (J. Comput. Phys., 2025)

Point Source Identification in Subdiffusion from A Posteriori Internal Measurement. - Kuang Huang; Bangti Jin; Yavar Kian; Georges Sadaka; Zhi Zhou 002 (SIAM J. Appl. Math., 2025)

Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion. - Bangti Jin; Qimeng Quan; Barbara I. Wohlmuth; Zhi Zhou 002 (SIAM J. Numer. Anal., 2025)

Optimizing Coarse Propagators in Parareal Algorithms. - Bangti Jin; Qingle Lin; Zhi Zhou 002 (SIAM J. Sci. Comput., 2025)

Numerical Approximation and Analysis of the Inverse Robin Problem Using the Kohn-Vogelius Method. - Erik Burman; Siyu Cen; Bangti Jin; Zhi Zhou 002 (CoRR, 2025)

Solving elliptic optimal control problems via neural networks and optimality system. - Yongcheng Dai; Bangti Jin; Ramesh Chandra Sau; Zhi Zhou 002 (Adv. Comput. Math., 2025)

Numerical Analysis of Unsupervised Learning Approaches for Parameter Identification in PDEs. - Siyu Cen; Bangti Jin; Qimeng Quan; Zhi Zhou 002 (CoRR, 2025)

Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates. - Tianhao Hu; Xinchi Huang; Bangti Jin; Qimeng Quan; Zhi Zhou 002 (CoRR, 2025)