The most updated publication list is available from Google Scholar page.

 

 

Monographs:

Diagram Description automatically generatedGraphical user interface, text, application, chat or text message Description automatically generatedGraphical user interface, text, application Description automatically generated

 

1.     Kazufumi Ito, Bangti Jin. Inverse Problems: Tikhonov Theory and Algorithms, World Publishing, 2014. publisher, Amazon

2.     Bangti Jin. Fractional Differential Equations. (Applied Mathematical Sciences, vol. 206). Springer 2021. publisher, Amazon

3.     Bangti Jin, Zhi Zhou. Numerical Treatment and Analysis of Time-Fractional Evolution Equations (Applied Mathematical Sciences, vol. 214). Springer 2023. publisher

 

Journal articles:

 

2023

1.     Siyu Cen, Bangti Jin, Qimeng Quan, Zhi Zhou. Hybrid neural-network FEM approximation of diffusion coefficient in elliptic and parabolic problems. IMA Journal of Numerical Analysis, in press.

2.     Siyu Cen, Bangti Jin, Kwancheol Shin, Zhi Zhou. Deep Calderon method for electrical impedance tomography. Journal of Computational Physics, in press.

3.     Siyu Cen, Bangti Jin, Yikan Liu, Zhi Zhou. Recovery of multiple parameters in subdiffusion from one lateral boundary measurement. Inverse Problems, in press.

4.     Tianhao Hu, Bangti Jin, Zhi Zhou. Solving elliptic problems with singular sources using singularity splitting deep Ritz method. SIAM Journal on Scientific Computing 2023; 45 (4): 2043--2074.

5.     Bangti Jin, Yavar Kian, Zhi Zhou. Inverse problems for subdiffusion from observation at an unknown terminal time. SIAM Journal on Applied Mathematics 2023; 83 (4): 1496-1517.

6.     Bangti Jin, Zeljko Kereta. On the convergence of stochastic gradient descent for linear inverse problems in Banach spaces. SIAM Journal on Imaging Sciences 2023; 16 (2): 671-705.

7.     Bangti Jin, Yavar Kian. Recovery of a distributed order fractional derivative in an unknown medium. Communications in Mathematical Sciences, in press.

8.     Riccardo Barbano, Johannes Leuschner, Maximilian Schmidt, Alexander Denker, Andreas Hauptmann, Peter Maass, Bangti Jin. An educated warm start for deep image prior-based micro-CT reconstruction. IEEE Transactions on Computational Imaging, in press.

9.     Bangti Jin, Xiliang Lu, Qimeng Quan, Zhi Zhou. Convergence rate analysis of Galerkin approximations of inverse potential problem. Inverse Problems 2023; 39(1):  015008, 26 pp.

 

 

2022

1.     Robert Twyman, Simon Arridge, Zeljko Kereta, Bangti Jin, Ludovica Brusaferri, Sangtae Ahn, Charles Stearns, Brian Hutton, Irene A Burger, Fotis Kotasidis, Kris Thielemans. An investigation of stochastic variance reduction algorithms for 3D penalised PET reconstruction. IEEE Transactions on Medical Imaging, in press.

2.     Riccardo Barbano, Zeljko Kereta, Andreas Hauptman, Simon Arridge, Bangti Jin. Unsupervised knowledge transfer in learned image reconstruction. Inverse Problems, in press.

3.     Bangti Jin, Zhi Zhou. Recovery of a space-time dependent diffusion coefficient in subdiffusion: stability, approximation and error analysis. IMA Journal of Numerical Analysis 2023; 43 (4), 2496–2531.

4.     Bangti Jin, Xiyao Li, Xiliang Lu. Imaging conductivity from current density magnitude using neural networks. Inverse Problems 2022; 38(7): 075003, 36 pp.

5.     Huan Liu, Bangti Jin, Xiliang Lu. Imaging anisotropic conductivities from current densities. SIAM Journal on Imaging Sciences 2022;15(2): 860--891.

6.     Bangti Jin, Zehui Zhou, Jun Zou. An analysis of stochastic variance reduced gradient for linear inverse problems. Inverse Problems 2022; 38(2): 025009, 34 pp.

7.     Bangti Jin, Yavar Kian. Recovery of the order of derivation in time-fractional differential equations in an unknown medium. SIAM Journal on Applied Mathematics 2022;82(3): 1045--1067.

 

 

2021

1.     Chen Zhang, Riccardo Barbano, Bangti Jin. Conditional variational autoencoder for image reconstruction. Computation 2021; 9(11): 114.

2.     Zeljko Kereta, Robert Twyman, Simon Arridge, Kris Thielemans, Bangti Jin. Stochastic EM methods with variance reduction for penalised PET reconstruction. Inverse Problems 2021; 37(11): 115006, 21 pp.

3.     Bangti Jin, Zhi Zhou. Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source. Inverse Problems 2021; 37(10): 105009 (28 pp).

4.     Bangti Jin, Yavar Kian. Recovering multiple orders of derivation in time-fractional differential equations. Proceedings of the Royal Society A 2021; 477(2253): 0210468 (21 pp).

5.     Bangti Jin, Zehui Zhou, Jun Zou. On the saturation phenomenon of stochastic gradient descent for linear inverse problems, SIAM/ASA Journal on Uncertainty Quantification 2021; 9(4): 1553--1588.

6.     Bangti Jin, Yavar Kian, Zhi Zhou. Reconstruction of a space-time dependent source in subdiffusion models via a perturbation approach. SIAM Journal on Mathematical Analysis 2021; 53(4): 4445--4473.

7.     Bangti Jin, Zhi Zhou. Numerical estimation of a diffusion coefficient in subdiffusion equations. SIAM Journal on Control and Optimization 2021;59(2): 1466--1496.

8.     Bangti Jin, Zhi Zhou. Error analysis of finite element approximations of diffusion coefficient identification for elliptic and parabolic problems. SIAM Journal on Numerical Analysis 2021; 59(1): 119--142.

9.     Bangti Jin, Zhi Zhou. An inverse potential problem with subdiffusion: stability and reconstruction. Inverse Problems 2021;(1): 37, 015006, 26 pp.

10.  Jian Huang, Yuling Jiao, Bangti Jin, Xiliang Lu, Can Yang. A unified primal dual active set algorithm for nonconvex sparse recovery. Statistical Sciences 2021; 36(2): 215--238.

 

2020

1.     Bangti Jin, Tobias Kluth. L1 data fitting for robust reconstruction in magnetic particle imaging: quantitative evaluation on Open MPI Dataset. International Journal of Magnetic Particle Imaging 2020;6(2), Article ID: 2012001, DOI: 10.18416/IJMPI.2020.2012001.

2.     Tim Jahn, Bangti Jin. On the discrepancy principle for stochastic gradient descent. Inverse Problems 2020;36(9): 095009, 30 pp.

3.     Bangti Jin, Zhi Zhou. Incomplete iterative scheme for subdiffusion. Numerische Mathematik 2020;145(3): 693--725.

4.     Bangti Jin, Buyang Li, Zhi Zhou. Second-order time-stepping scheme for subdiffusion with a time-dependent coefficient. Numerische Mathematik 2020; 145(4): 883--913.

5.     Manh Hong Duong, Bangti Jin. Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation. Communications in Mathematical Sciences 2020; 18(7): 1949--1975.

6.     Bangti Jin, Zehui Zhou, Jun Zou. On the convergence of stochastic gradient descent for nonlinear inverse problems. SIAM Journal on Optimization 2020; 30(2): 1421--1450.

7.     Federico Benvenuto, Bangti Jin. A regularization parameter for Tikhonov regularization based on predictive risk. Inverse Problems 2020; 36(6), 065004, 24 pp.

8.     Bangti Jin, Yifeng Xu. Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity. Inverse Problems 2020; 36(1): 014003, 28 pp.

 

2019

1.     Chen Zhang, Simon Arridge, Bangti Jin. Expectation propagation for Poisson data. Inverse Problems 2019;35(8), 085006, 27 pp.

2.     Bangti Jin, Buyang Li, Zhi Zhou. Pointwise-in-time error estimate for an optimal control problem with subdiffusion constraint. IMA Journal on Numerical Analysis 2020; 40(1): 377--404.

3.     Tobias Kluth, Bangti Jin. Enhanced reconstruction in magnetic particle imaging by whitening and randomized SVD approximation. Physics in Medicines \& Biology 2019; 64(12): 125026, 21 pp.

4.     Bangti Jin, Yubin Yan, Zhi Zhou. Numerical approximation of stochastic time-fractional diffusion. ESAIM: Mathematical Modeling and Numerical Analysis 2019; 53(4): 1245--1268.

5.     Bangti Jin, Raytcho Lazarov, Zhi Zhou. Numerical methods for time-fractional diffusion with nonsmooth data: a concise overview. Computer Methods in Applied Mechanics and Engineering 2019; 346: 332--358.

6.     Bangti Jin, Buyang Li, Zhi Zhou. Subdiffusion with a time-dependent coefficient: analysis and numerical solution. Mathematics of Computation 2019;88(319): 2157--2186.

7.     Habib Ammari, Bangti Jin, Wenlong Zhang. Linearized reconstruction for diffuse optical spectroscopic imaging. Proceedings of the Royal Society A, Mathematical, Physical and Engineering Sciences 2019; 475(2221): 20180592, 21 pp.

8.     James Adesokan, Bj\"{o}rn Jensen, Bangti Jin, Kim Knudsen. Acousto-electric tomography with total variation regularization. Inverse Problems 2019;35(3), 035008, 25 pp.

9.     Bangti Jin, Xiliang Lu. On the regularizing property of stochastic gradient descent. Inverse Problems 2019; 35(1): 015004, 27 pp.

10.  Eric T. Chung, Yalchin Efendiev, Bangti Jin, Wing Tat Leung, Maria Vasilyeva. Generalized multiscale inversion for heterogeneous problems. Communication in Computational Physics 2019;25(4): 1177--1212.

 

2018

1.     Tobias Kluth, Bangti Jin, Guanglian Li. On the degree of ill-posedness of multi-dimensional magnetic particle imaging. Inverse Problems 2018; 34(9): 095006, 26 pp.

2.     Simon Arridge, Kazufumi Ito, Bangti Jin, Chen Zhang. Variational Gaussian approximation for Poisson data. Inverse Problems 2018; 34(2): 025005, 29pp.

3.     Beiping Duan, Bangti Jin, Raytcho Lazarov, Joseph Pasciak, Zhi Zhou. Space-time Petrov-Galerkin FEM for fractional parabolic problems. Computational Methods in Applied Mathematics 2018; 18(1): 1--20.

4.     Bangti Jin, Buyang Li, Zhi Zhou. Discrete maximal regularity of time stepping schemes for fractional evolution equations. Numerische Mathematik 2018; 138 (1): 101--131.

5.     Bangti Jin, Buyang Li, Zhi Zhou. Numerical analysis of nonlinear subdiffusion equations. SIAM Journal on Numerical Analysis 2018; 56(1): 1--23.

6.     Bangti Jin, Buyang Li, Zhi Zhou. An analysis of Crank-Nicolson method for subdiffusion. IMA Journal of Numerical Analysis 2018; 38(1): 518--541.

 

2017

1.     Bangti Jin, Buyang Li, Zhi Zhou. On high-order BDF convolution quadrature for fractional evolution equations. SIAM Journal on Scientific Computing 2017; 39(6): A3129--A3152.

2.     Yuling Jiao, Bangti Jin, Xiliang Lu. Group sparse recovery via $\ell^0(\ell^2)$ penalty: theory and algorithm. IEEE Transactions on Signal Processing, 2017; 65(4): 998--1012.

3.     Yuling Jiao, Bangti Jin, Xiliang Lu. Preasymptotic convergence of the randomized Kaczmarz method. Inverse Problems 2017; 33(12), 125012, 21pp.

4.     Yuling Jiao, Bangti Jin, Xiliang Lu. Iterative soft/hard thresholding homotopy algorithm for sparse recovery. IEEE Signal Processing Letters 2017;24(6):784--788.

5.     Bangti Jin, Yifeng Xu, Jun Zou. An adaptive finite element method for electrical impedance tomography. IMA Journal of Numerical Analysis 2017;37(3): 1520--1550.

6.     Bangti Jin, Raytcho Lazarov, Vidar Thomee, Zhi Zhou. On nonnegativity preservation in finite element methods for subdiffusion equations. Mathematics of Computation, 2017;86(307): 2239--2260.

7.     Bangti Jin, Zhi Zhou. An analysis of the Galerkin proper orthogonal decomposition for subdiffusion. ESAIM: Mathematical Modeling and Numerical Analysis 2017; 51(1): 89--113.

 

2016

1.     Bangti Jin, Raytcho Lazarov, Zhi Zhou. A Petrov-Galerkin finite element method for fractional convection diffusion equation. SIAM Journal on Numerical Analysis 2016;54(1):481--503.

2.     Bangti Jin, Raytcho Lazarov, Zhi Zhou. Two fully discrete schemes for fractional diffusion and diffusion wave equations. SIAM Journal on Scientific Computing; 2016;38(1), A146--A170.

3.     Giovanni Alberti, Habib Ammari, Bangti Jin, Jinkeun Seo, Wenlong Zhang. The linear inverse problem in multifrequency electrical impedance tomography. SIAM Journal on Imaging Science 2016;9(4): 1525--1551.

4.     Bangti Jin, Raytcho Lazarov, Dongwoo Sheen, Zhi Zhou. Error estimates for the approximations of distributed-order time fractional diffusion with nonsmooth data. Fractional Calculus and Applied Analysis 2016; 19(1): 69--93.

5.     Bangti Jin, Tomoya Takeuchi. Lagrangian optimality system for a class of nonsmooth convex optimization problems. Optimization 2016; 65(6): 1151--1166.

6.     Kazufumi Ito, Bangti Jin, Tomoya Takeuchi. On a Legendre tau method for boundary value problems with a Caputo derivative. Fractional Calculus and Applied Analysis 2016;19(2): 357--378.

7.     Bangti Jin, Raytcho Lazarov, Xiliang Lu, Zhi Zhou. A simple finite element method for the boundary value problem with a Riemann-Liouville derivative. Journal of Computational and Applied Mathematics 2016; 293: 94--111.

8.     Bangti Jin, Raytcho Lazarov, Zhi Zhou. An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. IMA Journal of Numerical Analysis 2016;36(1): 197--221.

 

2015

1.     Nilabja Guha, Xiaoqing Wu, Yalchin Efendiev, Bangti Jin, Bani K. Mallick. A Bayesian variational approach for inverse problems with skew-t error distributions. Journal of Computational Physics 2015; 301: 377--393.

2.     Kazufumi Ito, Bangti Jin, Tomoya Takeuchi. On the sectorial property of the Caputo derivative. Applied Mathematics Letters 2015; 47: 43--46.

3.     Bangti Jin, Zhi Zhou. A singularity reconstructed finite element method for fractional boundary value problems. ESAIM Mathematical Modeling and Numerical Analysis 2015; 49(5): 1261--1283.

4.     Emilia Bazhlekova, Bangti Jin, Raytcho Lazarov, Zhi Zhou. An analysis of the Rayleigh-Stokes problem for the generalized second grade fluid. Numerische Mathematik 2015;131(1): 1--31.

5.     Yuling Jiao, Bangti Jin, Xiliang Lu. A primal-dual active set with continuation algorithm for the $\ell^0$-regularized optimization problem. Applied and Computational Harmonic Analysis 2015;39(3): 259--286.

6.     Bangti Jin, Raytcho Lazarov, Joseph Pasciak, William Rundell. Variational formulation of problems involving fractional order differential operators. Mathematics of Computation 2015;84(296): 2665--2700.

7.     Bangti Jin, Raytcho Lazarov, Joseph Pasciak, Zhi Zhou. Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. IMA Journal of Numerical Analysis 2015;35(2): 561--582.

8.     Bangti Jin, William Rundell. A tutorial on inverse problems in anomalous diffusion process. Inverse Problems 2015;31(3), 035003, 40 pp.

9.     Yalchin Efendiev, Bangti Jin, Michael Prescho, Xiaosi Tan. Multilevel Markov chain Monte Carlo method for high-contrast single-phase flow problems. Communications in Computational Physics 2015;17(1): 259--286.

10.  Bangti Jin, Raytcho Lazarov, Yikan Liu, Zhi Zhou. The Galerkin finite element method for a multi-term time-fractional diffusion equation. Journal of Computational Physics 2015;281: 825--843.

11.  Zhiyuan Sun, Yuling Jiao, Bangti Jin, Xiliang Lu. Numerical identification of a sparse Robin coefficient. Advances in Computational Mathematics 2015;41(1): 131--148.

 

2014

1.     Matthias Gehre, Bangti Jin, Xiliang Lu. An analysis of finite element approximation of electrical impedance tomography. Inverse Problems 2014;30(4), 045013 (24 pp).

2.     Bangti Jin, Raytcho Lazarov, Joseph Pasciak, Zhi Zhou. Error analysis of a finite element method for a space-fractional parabolic equation. SIAM Journal on Numerical Analysis 2014; 52(5): 2272--2294.

3.     Matthias Gehre, Bangti Jin. Expectation propagation for nonlinear inverse problems -- with an application to electrical impedance tomography. Journal of Computational Physics 2014; 259: 513--535.

4.     Kazufumi Ito, Bangti Jin, Tomoya Takeuchi. Multi-parameter Tikhonov regularization -- an augmented approach. Chinese Annals of Mathematics, Series B, 2014; 35B(3): 383--398.

 

2013

1.     Kazufumi Ito, Bangti Jin, Jun Zou. A direct sampling method for the inverse electromagnetic medium scattering problem. Inverse Problems 2013;29(9): 095018, 19 pp.

2.     Kazufumi Ito, Bangti Jin, Jun Zou. A two-stage method for inverse medium scattering. Journal of Computational Physics 2013; 237: 211--223.

3.     Bangti Jin, Raytcho Lazarov, Zhi Zhou. Error estimates for a semidiscrete finite element method for fractional order parabolic equations, SIAM Journal on Numerical Analysis 2013;51(1): 445--466.

 

2012

1.     Bangti Jin, Peter Maass. Sparsity regularization for parameter identification problems. Inverse Problems 2012; 28(12): 123001 (70 pp.)

2.     Bangti Jin, Yubo Zhao, Jun Zou. Iterative parameter choice by discrepancy principle. IMA Journal of Numerical Analysis 2012;32(4):1714--1732.

3.     Bangti Jin, Peter Maass. An analysis of electrical impedance tomography with applications to Tikhonov regularization. ESAIM: Control, Optimisation and Calculus of Variations 2012;18(4): 1027--1048.

4.     Bangti Jin, William Rundell. An inverse problem for a one-dimensional time-fractional diffusion equation. Inverse Problems 2012;28(7): 075010 (19 pp.)

5.     Bangti Jin, William Rundell. An inverse Sturm-Liouville problem with a fractional derivative. Journal of Computational Physics 2012;231(14): 4954--4966.

6.     Christian Clason, Bangti Jin. A semi-smooth Newton method for nonlinear parameter identification problems with impulsive noise. SIAM Journal on Imaging Sciences 2012;5(2): 505--536.

7.     Kazufumi Ito, Bangti Jin, Jun Zou. A direct sampling method to inverse medium scattering problem. Inverse Problems 2012;28(2): 025003 (11 pp.).

8.     Bangti Jin. A variational Bayesian method to inverse problems with impulsive noise. Journal of Computational Physics 2012;231(2):423--435.

9.     Bangti Jin, Taufiquar Khan, Peter Maass. A reconstruction algorithm for electrical impedance tomography based on sparsity regularization. International Journal for Numerical Methods in Engineering 2012;89(3):337--353.

10.  Bangti Jin, Xiliang Lu. Numerical identification of a Robin coefficient in parabolic problems. Mathematics of Computation 2012;81(279):1369--1398.

11.  Matthias Gehre, Tobias Kluth, Antti Lipponen, Bangti Jin, Aku Seppanen, Jari Kaipio, Peter Maass. Sparsity reconstruction in electrical impedance tomography: an experimental evaluation. Journal of Computational and Applied Mathematics 2012;236(8):2126--2136.

 

2011

1.     Kazufumi Ito, Bangti Jin. A new approach to nonlinear constrained Tikhonov regularization. Inverse Problems 2011;27(10): 105005(23 pp.).

2.     Kazufumi Ito, Bangti Jin, Tomoya Takeuchi. A regularization parameter for nonsmooth Tikhonov regularization. SIAM Journal on Scientific Computing 2011;33(3):1415--1438.

3.     Kazufumi Ito, Bangti Jin, Jun Zou. A new choice rule for regularization parameters in Tikhonov regularization. Applicable Analysis 2011;90(10): 1521--1544.

4.     Kazufumi Ito, Bangti Jin, Tomoya Takeuchi. Multi-parameter Tikhonov regularization, Methods and Applications of Analysis 2011;18(1): 31--46.

 

 

2010

1.     Bangti Jin, Dirk A Lorenz. Heuristic parameter-choice rules for convex variational regularization based on error estimate. SIAM Journal on Numerical Analysis 2010;48(3):1208--1229.

2.     Bangti Jin, Jun Zou. Hierarchical Bayesian inference for ill-posed problems via variational method. Journal of Computational Physics 2010;229(19):7317--7343.

3.     Christian Clason, Bangti Jin, Karl Kunisch. A duality-based splitting method for l1-TV image restoration with automatic regularization parameter choice, SIAM Journal on Scientific Computing 2010;32(3):1484-1505.

4.     Christian Clason, Bangti Jin, Karl Kunisch. A semismooth Newton method for L1 data fitting with automatic choice of regularization parameters and noise calibration, SIAM Journal on Imaging Sciences 2010;3(2):199--231.

5.     Bangti Jin, Jun Zou. Numerical estimation of the Robin coefficient in a stationary diffusion equation. IMA Journal of Numerical Analysis 2010;30(3): 677--701.

6.     Wen Chen, Zoujia Fu, Bangti Jin. A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique. Engineering Analysis with Boundary Elements 2010; 34(3): 196--205.

 

Before 2010

1.     Bangti Jin, Dirk Lorenz, Stefan Schiffler. Elastic-net regularization: error estimates and active set methods, Inverse Problems 2009;25(11): 115022 (26pp).

2.     Bangti Jin, Jun Zou. Numerical estimation of piecewise constant Robin coefficient. SIAM Journal on Control and Optimization 2009;48(3): 1977--2002.

3.     Bangti Jin, Jun Zou. Augmented Tikhonov regularization. Inverse Problems 2009;25(2): 0255001 (25pp).

4.     Bangti Jin. Fast Bayesian approach for parameter estimation. International Journal for Numerical Methods in Engineering 2008;76(2):230--252.

5.     Bangti Jin, Jun Zou. Inversion of Robin coefficient by a spectral stochastic finite element approach. Journal of Computational Physics 2008; 227(6): 3282--3306.

6.     Bangti Jin, Jun Zou. A Bayesian approach to the ill-posed Cauchy problem of steady-state heat conduction. International Journal for Numerical Methods in Engineering 2008;76(4): 521--544.

7.     Bangti Jin, Yao Zheng. A meshless method for some inverse problems associated with the Helmholtz equation. Computer Methods in Applied Mechanics and Engineering 2006; 195(19-22): 2270--2288.

8.     Bangti Jin, Yao Zheng. Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation. Engineering Analysis with Boundary Elements 2005; 29(10): 925--935.

9.     Bangti Jin, Yao Zheng. Boundary knot method for some inverse problems associated with the Helmholtz equation. International Journal for Numerical Methods in Engineering 2005; 62(12):1636--1651.