Publications

2024

1. T. Hu, B. Jin, ZZ, Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks, SIAM J. Sci. Comput., in press.

2. S. Cen, B. Jin, Q. Quan, ZZ, Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems, IMA J. Numer. Anal., DOI: 10.1093/imanum/drad073

3. B Li, Z Yang, ZZ. High-order splitting finite element methods for the subdiffusion equation with limited smoothing property, Math. Comp., in press.

4. B Jin, K Shin, ZZ. Numerical recovery of a time-dependent potential in subdiffusion. Inverse Problems, 40(2) (2024), 025008.

5. B. Jin, X. Li, Q. Quan, ZZ. Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks, SIAM J. Imaging Sci., 17(1) (2024), 147--187.

2023

1. S. Cen, B. Jin, K. Shin, ZZ. Electrical Impedance Tomography with Deep Calderon Method. J. Comput. Phys., 493 (15) (2023), 112427.

2. S. Cen, B. Jin, Y. Liu, ZZ, Recovery of Multiple Parameters in Subdiffusion from One Lateral Boundary Measurement, Inverse Problems, 39(10)(2023), 104001.

3. Q. Du, X. Tian, and ZZ, Nonlocal diffusion models with consistent local and fractional limits. A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models: Proceedings of the 50th John H. Barrett Memorial Lectures, 175-213.

4. T. Hu, B. Jin, ZZ, Solving Elliptic Problems with Singular Sources using Singularity Splitting Deep Ritz Method, SIAM J. Sci. Comput., 45 (4) (2023), 2043--2074.

5. Q. Du and ZZ, Nonlocal-in-time dynamics and crossover of diffusive regimes, Int. J. Numer. Anal. Model., 20 (3) (2023), 353--370.

6. Z. Zhang, and ZZ, Stability and numerical analysis of backward problem for subdiffusion with time-dependent coefficients, Inverse Problems, 39 (2023), 034001.

7. B. Jin and ZZ, Recovery of a space-time dependent diffusion coefficient in subdiffusion: stability, approximation and error analysis, IMA J. Numer. Anal.,  43 (4) (2023), 2496–2531

8. J. Yang, Z. Yuan, and ZZ, Robust convergence of parareal algorithms with arbitrarily high-order fine propagators, CSIAM Trans. Appl. Math., 4 (3) (2023), 566-591

9. B. Jin, Y. Kian, and ZZ, Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time, SIAM J. Appl. Math., 83 (4) (2023), 1496--1517.

10. B. Jin, X. Lu, Q. Quan, and ZZ, Convergence Rate Analysis of Galerkin Approximation of Inverse Potential Problem, Inverse Problems, 39 (2023), 015008.

2022

1. Z. Zhang, Z. Zhang and ZZ, Identification of potential in diffusion equations from terminal observation: analysis and discrete approximation, SIAM J. Numer. Anal., 60(5) (2022), 2834--2865.

2. S-L. Wu, T. Zhou and ZZ, A uniform spectral analysis for preconditioned all-at-once system from first-order and second-order evolutionary problems, SIAM J. Matrix Anal. Appl., 43 (3) (2022), 331--1353.

3. Z. Zhang and ZZ, Backward diffusion-wave problem: stability, regularization and approximation. SIAM J. Sci. Comput., 44(5) (2022), A3183--A3216.

4. J. Yang, Z. Yuan and ZZ, Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen–Cahn Equations, J. Sci. Comput. 90 (2) (2022), 76.

2021

1. S. Wu and ZZ, A parallel-in-time algorithm for high-order BDF methods for diffusion and subdiffusion equations, SIAM J. Sci. Comput., 43(6) (2021), A3627–A3656. 

2. G. Akrivis, M. Chen, F. Yu and ZZ, The energy technique for the six-step BDF method, SIAM J. Numer. Anal., 59(5) (2021), 2449–2472.

3. B. Jin and ZZ, Recovering the potential in one-dimensional time-fractional diffusion with unknown initial condition and source, Inverse Problems, 37 (2021), 105009.

4. B. Jin, Y. Kian and ZZ, Reconstruction of a space-time dependent source in subdiffusion models via a perturbation approach, SIAM J. Math. Anal.,  53 (4) (2021), 4445-4473.

5. B. Jin and ZZ, Numerical estimation of a diffusion coefficient in subdiffusion, SIAM J. Control Optim.,  59 (2) (2021), 1466–1496.

6. M. Chen, F. Yu and ZZ, Backward difference formulae: the energy technique for subdiffusion equation, J. Sci. Comput, 87 (3) (2021), 94.

7. B. Jin and ZZ, Error analysis of finite element approximations of diffusion coefficient identification for elliptic and parabolic problems, SIAM J. Numer. Anal., 59 (1) (2021), 119-142.

8. B. Jin and ZZ, An inverse potential problem for subdiffusion: stability and reconstruction, Inverse Problems, 37 (1) (2021), 015006.

2020

1. B. Li, J. Yang and ZZ, Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equation, SIAM J. Sci. Comput, 42 (6) (2020), A3957–A3978.

2. M. DElia, Q. Du, C. Glusa, M. Gunzburger, X. Tian, and ZZ, Numerical methods for nonlocal and fractional models, Acta Numerica, 29 (2020), 1-124.

3. Q. Du, J.Yang and ZZ, Time-fractional Allen-Cahn equations: analysis and numerical methods, J. Sci. Comput, 85 (2) (2020), 42.

4. K. Wang and ZZ, High-order time stepping schemes for semilinear subdiffusion equations, SIAM J. Numer. Anal., 58 (6) (2020), 3226-3250.

5. Z. Zhang, and ZZ, Numerical analysis of backward subdiffusion problems, Inverse Problems, 36 (10) (2020), 105006.

6. B. Jin, B. Li and  ZZ, Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping, Numerische Mathematik, 145 (4) (2020), 883–913.

7. B. Jin and ZZ, Incomplete iterative solution of the subdiffusion, Numerische Mathematik, 145 (3) (2020), 693–725.

8. S. Chen, J. Shen, Z. Zhang, and ZZ, A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions,  SIAM J. Sci. Comput., 42 (2) (2020), A849–A877. 

9. Q. Du, L. Toniazzi and ZZ, Stochastic representation for solution to nonlocal-in-time evolution equations, Stochastic Process. Appl.,  130 (4) (2020), 2058–2085

10. B. Jin, and ZZ, Multigrid methods for time-fractional evolution equations: a numerical study, Commun. Appl. Math. Comput., 2 (2) (2020), 163–177.

11. B. Li, K. Wang, and ZZ, Long-time accurate symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-selfadjoint operators, SIAM J. Numer. Anal., 58 (1) (2020), 189–210. 

12. B. Jin, B. Li and ZZ, Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint, IMA J. Numer. Anal., 40 (1) (2020), 377–404.

2019

1. B. Jin, B. Li and ZZ, Numerical analysis for the subdiffusion equation with a time-dependent coefficient, Math. Comp., 88 (2019), 2157-2186.

2. B. Jin, R. Lazarov and ZZ, Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview, Comput. Meth. Appl. Mech. Eng., 346 (2019), 332–358.

3. B. Jin, Y. Yan and ZZ, Galerkin finite element approximation of stochastic time-fractional diffusion, ESAIM: M2AN, 53 (4) (2019), 1245 - 1268

2018

1. Y. Qiao, ZZ, Z. Chen, S. Du, Q. Cheng, H. Zhai, N. Fritz, Q. Du, Y. Yang, Visualizing ion diffusion in battery systems by fluorescence microscopy: a case study on the dissolution of LiMn2O4, Nano Energy 45, 68-74

2. B. Jin, B. Li and ZZ, A second-order Crank-Nicolson method for subdiffusion,  IMA J. Numer. Anal., 38 (1), 518-541, (top 10 highly cited articles for IMANUM from 2017-2018)

3. B. Duan, B. Jin, R. Lazarov, J. Pasciak and ZZ, Space-time Petrov-Galerkin FEM for fractional diffusion problems, Comput. Methods Appl. Math.,  18 (1), 1-20

4. B. Jin, B. Li and ZZ, Numerical analysis of nonlinear subdiffusion equations, SIAM J. Numer. Anal.,  56 (1), 1-23

5. B. Jin, B. Li and ZZ, Discrete maximal regularity of time-stepping schemes for fractional evolution equations, Numerische Mathematik, 138 (1), 101-131

2017

1. B. Jin, B. Li and ZZ, Correction of high-order BDF convolution quadrature for fractional evolution equations, SIAM J. Sci. Comput., 39 (6), A3129-A3152

2. A. Chen, Q. Du, C. Li  and ZZ, Asymptotically compatible schemes for space-time nonlocal diffusion equations, Chaos, Solitons and Fractals, 102 (2017), 361-371

3. Z. Zhang and ZZ, Recovering the potential term in a fractional diffusion equation, IMA J. Appl. Math.  82 (3) (2017): 579-600

4. Q. Du, J. Yang and ZZ,  Analysis of a nonlocal-in-time parabolic equation, Discrete Contin. Dyn. Syst. Ser. B,  22 (2) (2017) 339-368

5. B. Jin, R. Lazarov, V. Thomee and ZZ, On nonnegative preservation in finite element methods for subdiffusion equations, Math. Comp.,  86 (307) (2017) 2239-2270

6. B. Jin and ZZ, An analysis of Galerkin Proper Orthogonal Decomposition for subdiffusion, ESAIM: M2AN 51 (2017) 89-113 (arXiv: 1508.06134)

2016

1. B. Jin, R. Lazarov and ZZ, A Petrov-Galerkin finite element method for fractional convection-diffusion equations, SIAM J. Numer. Anal., 54(1) (2016), 481–503

2. B. Jin, R. Lazarov, D. Sheen and ZZ, Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data, Fract. Calc. Appl. Anal., 19(1) (2016), 69-93

3. B. Jin, R. Lazarov and ZZ, Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data, SIAM J. Sci. Comput., 38 (1) (2016) A146 -- A170

4. B. Jin, R. Lazarov and ZZ, An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data, IMA J. Numer. Anal.,  36 (1) (2016) :197-221,  (top 10 highly cited articles for IMANUM from 2014-2015)

5. B. Jin, R. Lazarov, X. Lu and ZZ, A simple finite element method for boundary value problems with a Riemann-Liouville derivative, J. Comput. Appl. Math., 293 (2016), 94-111. 

2015

1. B. Jin and ZZ, A finite element method with sigularity reconstruction for fractional boundary value problems, ESAIM: M2AN, 49 (5) (2015), 1261--1283

2. E. Bazhlekova, B. Jin, R. Lazarov, and ZZ, An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid, Numerische Mathematik,  131 (1) (2015),1–31

3. B. Jin, R. Lazarov, Y. Liu and ZZ, The Galerkin finite element method for a multi-term time-fractional parabolic equation, J. Comput. Phys.,, 281 (2015) 825–843

4. B. Jin, R. Lazarov, J. Pasciak and ZZ, Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion, IMA J. Numer. Anal., 35 (2) (2015), 561-582,  (top 10 highly cited articles for IMANUM from 2014-2015)

2014

1. B. Jin, R. Lazarov, J. Pasciak and ZZ, Error analysis of finite element methods for space-fractional parabolic equations, SIAM J. Numer. Anal., 52 (5) (2014), 2272–2294

2013

1. B. Jin, R. Lazarov and ZZ, Error estimates for a semidiscrete finite element method for fractional order parabolic equations, SIAM J. Numer. Anal., 51 (1) (2013), 445–466. 

2. B. Jin, R. Lazarov, J. Pasciak and ZZ, Galerkin FEM for fractional order parabolic equations with initial data in H^-s; 0 \le s \le 1, (arXiv:1303-2932), I. Dimov, I. Farago, and L. Vulkov (Eds.): NAA 2012, Lect. Notes Comp. Sci. (LNCS) 8236, pp. 24--37, Springer, Heidelberg (2013)