The preprints and published papers are available upon request, and the companion codes are available here: 

 

Preprints:

1.    Habib Ammari. Linearized reconstruction for diffuse optical spectroscopic imaging, submitted.

2.    B J Adesokan, Bjorn Jensen, Bangti Jin, Kim Knudsen. Acousto-electric tomography with total variation regularization, submitted.

3.    Bangti Jin, Raytcho Lazarov, Zhi Zhou. Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview, submitted.

4.    Bangti Jin, Xiliang Lu. On the regularizing property of stochastic gradient descent, submitted.

 

 

  

Monograph:

 

book.jpgKazufumi Ito, Bangti Jin.

Inverse Problems: Tikhonov Theory and Algorithms

World Scientific, 2014.

publisher, Amazon

 

 

 

 

Selected journal articles:

 

·      Tobias Kluth, Bangti Jin, Guanglian Li.

On the degree of ill-posedness of multi-dimensional magnetic particle imaging.

Inverse Problems 2018, 34(9) 095006.

·      Eric T. Chung, Yalchin Efendiev, Bangti Jin, Wing Tat Leung, Maria Vasilyeva.

Generalized multiscale inversion for heterogeneous problems.

Communications in Computational Physics, in press.

·      Bangti Jin, Buyang Li, Zhi Zhou.

Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint.

IMA Journal of Numerical Analysis, in press.

·      Simon Arridge, Kazufumi Ito, Bangti Jin, Chen Zhang.

Variational Gaussian approximation for Poisson data.

Inverse Problems, in press.

·      Yuling Jiao, Bangti Jin, Xiliang Lu.

Preasymptotic convergence of randomized Kaczmarz method.

Inverse Problems, in press.

·      Beiping Duan, Bangti Jin, Lazarov Pasciak, Joseph Pasciak, Zhi Zhou

Space-time Petrov-Galerkin FEM for fractional diffusion problems

Computational Methods in Applied Mathematics, in press.

·      Bangti Jin, Buyang Li, Zhi Zhou.

Numerical analysis of nonlinear subdiffusion problems.

SIAM Journal on Numerical Analysis, in press.

·      Bangti Jin, Buyang Li, Zhi Zhou.

An analysis of the Crank-Nicolson scheme for subdiffusion.

IMA Journal of Numerical Analysis, in press.

·      Yuling Jiao, Bangti Jin, Xiliang Lu.

An iterative soft/hard thresholding homotopy algorithm for sparse recovery.

IEEE Signal Processing Letters, in press.

·      Bangti Jin, Buyang Li, Zhi Zhou.

Discrete maximal regularity of time stepping schemes for fractional evolution equations.

Numerische Mathematik, in press.

·      Yuling Jiao, Bangti Jin, Xiliang Lu.

Group sparse recovery via \ell^0(\ell^2) penalty: theory and algorithm.

IEEE Transactions on Signal Processing, in press.

·      Bangti Jin, Yifeng Xu, Jun Zou.

An adaptive finite element method for electrical impedance tomography.

IMA Journal of Numerical Analysis, in press.

·      Giovanni S Albert, Habib Ammari, Bangti Jin, Jin-Keun Seo, Wenlong Zhang.

The linearized inverse problem in multi-frequency electrical impedance tomography.

SIAM Journal on Imaging Sciences, in press.

·      Bangti Jin, Zhi Zhou.

An analysis of Galerkin proper orthogonal decomposition for subdiffusion.

ESAIM Math. Modeling Numer. Anal., in press.

·      Bangti Jin, Raytcho Lazarov, Vidar Thomee, Zhi Zhou.

On nonnegativity preservation in finite elements for subdiffusion equations.

Math. Comp., in press.

·      Bangti Jin, Raytcho Lazarov, Zhi Zhou.

A Petrov-Galerkin finite element method for fractional convection diffusion equations.

SIAM J. Numer. Anal., in press.

·      Bangti Jin, Raytcho Lazarov, Zhi Zhou.

On two schemes for fractional diffusion and diffusion wave equations.

SIAM J. Sci. Comp. 2016; 2016;38(1): A146-A170. arXiv, doi

·      Nilabja Guha, Xiaoqing Wu, Yalchin Efendiev, Bangti Jin, Bani K. Mallick.

A Bayesian variational approach for inverse problems with skew-t error distributions.

J. Comput. Phys. 2015; 2015;301: 377-393. doi

·      Bangti Jin, Zhi Zhou.

A finite element method with singularity reconstruction for fractional boundary value problems.

ESAIM: Math. Model. Numer. Anal. 2015; in press.

·      Bangti Jin, Raytcho Lazarov, Zhi Zhou.

An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data.

IMA J. Numer. Anal. 2015; in press.

·      Bangti Jin, William Rundell.

A tutorial on inverse problems for anomalous diffusion processes.

Inverse Problems 2015; 2015;31(3): 035003, 40 pp. arXiv, doi

·      Emilia Bazhlekova, Bangti Jin, Raytcho Lazarov, Zhi Zhou.

An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid

Numer. Math. 2015;131(1): 1-31. arXiv, doi

·      Yulin Jiao, Bangti Jin, Xiliang Lu.

A primal dual active set with continuation algorithm for l0 optimization.

Appl. Comput. Harmonic Anal. 2015;39(3): 400-426. arXiv, doi

·      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. arXiv, doi

·      Bangti Jin, Raytcho Lazarov, Joseph Pasciak, Zhi Zhou.

Error analysis of finite element methods for space-fractional parabolic equations

SIAM J. Numer. Anal. 2014; 52(5): 2272-2294. arXiv, doi

·      Yalchin Efendiev, Bangti Jin, Michael Prescho, Xiaosi Tan.

Multilevel Markov chain Monte Carlo method for high-contrast single-phase flow problems.

Comm. Comput. Phys. 2015;17(1): 259-286. arXiv, doi

·      Bangti Jin, Raytcho Lazarov, Joseph Pasciak, Zhi Zhou.

Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion.

IMA J. Numer. Anal. 2015; 35(2): 561-582. doi

·      Bangti Jin, Raytcho Lazarov, Joseph Pasciak, William Rundell.

Variational formulation of problems involving fractional order differential operators.

Math. Comp. 2015; 84(296): 2665-2700. doi

·      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. doi

·      Kazufumi Ito, Bangti Jin, Tomoya Takeuchi.

Multiparameter Tikhonov regularization -- an augmented approach.

Chinese Annals of Mathematics, Series B 2014; 35(3): 383-398. doi

·      Kazufumi Ito, Bangti Jin, Jun Zou.

A direct sampling method for inverse electromagnetic scattering.

Inverse Problems 2013; 29(9), 095018. doi

·      Kazufumi Ito, Bangti Jin, Jun Zou.

A two-stage method for inverse medium scattering.

Journal of Computational Physics 2013; 237: 211-223. doi, arXiv

·      Bangti Jin, Raytcho Lazarov, Zhi Zhou.

Error estimates for a semidiscrete finite element method for fractional-order parabolic equations.

SIAM Journal on Numerical Anlysis 2013;51(1): 445-466. doi, arXiv

·      Bangti Jin, Peter Maass.

Sparsity regularization for parameter identification problems (invited topical review)

Inverse Problems 2012;28(12): 123001(70 pp.).

(Selected by the editorial board for the 2012 highlights) doi

·      Bangti Jin, William Rundell.

An inverse problem for one-dimensional time-fractional diffusion problem,

Inverse Problems 2012;28(7): 075010 (19 pp.). doi

·      Bangti, Jin, William Rundell.

An inverse Sturm-Liouville problem with a fractional derivative.

Journal of Computational Physics 2012;231(14): 4954-4966. doi, arXiv

·      Victor M Calo, Nathan Collier, Matthias Gehre, Bangti Jin, Hany Radwan, Mauricio Santillana.

Gradient-based estimation of Manning's friction coefficient from noisy data.

Journal of Computational and Applied Mathematics 2013;238(1): 1-13. arXiv

·      Christian, Clason, Bangti Jin.

A primal-dual semismooth Newton method for nonlinear L1 data fitting problems.

SIAM Journal on Imaging Sciences 2012; 5(2): 505-536. doi

·      Kazufumi Ito, Bangti Jin, Jun Zou.

A direct sampling method to inverse medium scattering problem.

Inverse Problems 2012;28(2): 025003 (11 pp.). doi, link

·      Bangti Jin, Yubo Zhao, Jun Zou.

Iterative parameter choice via discrepancy principle.

IMA Journal of Numerical Analysis 2012;32(4): 1714-1732. doi

·      Bangti Jin, Peter Maass.

An analysis of electrical impedance tomography with applications to Tikhonov regularization.

ESAIM: Control, Optimisation and Calculus of Variation 2012;18(4): 1027-1048. doi

·      Bangti Jin.

A variational Bayesian method to inverse problems with impulsive noise.

Journal of Computational Physics 2012;231(2):423-435. doi, arXiv

·      Kazufumi Ito, Bangti Jin.

A new approach to nonlinear constrained Tikhonov regularization.

Inverse Problems 2011;27(10): 105005. doi, arXiv

(Selected by the Editorial Board as featured article and Insights of the journal Inverse Problems.)

·      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. doi

·      Bangti Jin, Xiliang Lu.

Numerical identification of a Robin coefficient in parabolic problems.

Mathematics of Computation 2012;81(279): 1369-13988. doi

·      Kazufumi Ito, Bangti Jin, Tomoya Takeuchi.

A regularization parameter for nonsmooth Tikhonov regularization.

SIAM Journal on Scientific Computing 2011;33(3):1415-1438. doi

·      Kazufumi Ito, Bangti Jin,

Tomoya Takeuchi. Multi-parameter Tikhonov regularization.

Methods and Applications of Analysis 2011;18(1):31-46. arXiv

·      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. doi

·      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. doi, arXiv

·      Bangti Jin, Jun Zou.

Hierarchical Bayesian inference for ill-posed problems via variational method.

Journal of Computational Physics 2010;229(19):7317--7343. doi

·      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. doi

·      Chirstian 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. doi

·      Bangti Jin, Dirk Lorenz, Stefan Schiffler.

Elastic-net regularization: error estimates and active set methods.

Inverse Problems 2009;25(11): 115022 (26pp). arXiv, doi

·      Bangti Jin, Jun Zou.

Numerical estimation of piecewise constant Robin coefficient.

SIAM Journal on Control and Optimization 2009;48(3): 1977-2002 . doi

·      Bangti Jin, Jun Zou.

Augmented Tikhonov regularization.

Inverse Problems 2009;25(2): 0255001 (25pp). doi

(Selected by the Editorial Board for the 2009 highlights

·      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. doi

·      Bangti Jin.

Fast Bayesian approach for parameter estimation.

International Journal for Numerical Methods in Engineering 2008;76(2):230-252. doi

·      Bangti Jin, Jun Zou.

Inversion of Robin coefficient by a spectral stochastic finite element approach.

Journal of Computational Physics 2008;227(6): 3282-3306. doi

·      Bangti Jin, Wen Chen.

Boundary knot method based on geodesic distance for anisotropic problems.

Journal of Computational Physics 2006; 215(2): 614-629. doi

·      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. doi