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

 

Preprints:

1.    Bangti Jin, Buyang Li, Zhi Zhou. Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint, submitted.

2.    Eric T. Chung, Yalchin Efendiev, Bangti Jin, Wing Tat Leung, Maria Vasilyeva. Generalized multiscale inversion for heterogeneous problems, submitted.

 

 

 

  

Monograph:

 

book.jpgKazufumi Ito, Bangti Jin.

Inverse Problems: Tikhonov Theory and Algorithms

World Scientific, 2014.

publisher, Amazon

 

 

 

 

Selected journal articles:

 

·      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