The preprints
and published papers are available upon request, and the companion codes are
available here:
Preprints:
1. Jian
Huang, Yuling Jiao, Bangti Jin, Xiliang Lu, Can Yang. A unified primal dual
active set algorithm for nonconvex sparse recovery, submitted.
Monograph:
Kazufumi
Ito, Bangti Jin.
Inverse Problems: Tikhonov Theory and Algorithms
World Scientific, 2014.
Selected journal articles:
·
Tobias Kluth, Bangti Jin.
Enhanced reconstruction in magnetic particle imaging
by whitening and randomized SVD.
Physics in Medicine & Biology, in press.
·
Bangti Jin, Yubin Yan, Zhi Zhou.
Numerical approximation of stochastic time-fractional
diffusion.
ESAIM Mathematical Modeling and Numerical Simulation,
in press.
·
Chen Zhang, Simon Arridge, Bangti Jin.
Expectation propagation for Poisson data.
Inverse Problems, in press.
·
Bangti Jin, Buyang Li, Zhi Zhou.
Subdiffusion with a time-dependent coefficient:
analysis and numerical solution.
Mathematics of Computation, in press.
·
Habib Ammari, Bangti Jin, Wenlong Zhang.
Linearized reconstruction for diffuse optical
spectroscopic imaging.
Proceedings of Royal Society Series A, in press.
·
B J Adesokan, Bjorn Jensen, Bangti Jin,
Kim Knudsen.
Acousto-electric impedance tomography with total
variation regularization.
Inverse Problems, in press.
·
Bangti Jin, Raytcho Lazarov, Zhi Zhou.
Numerical methods for time-fractional evolution
equations with nonsmooth data: a concise overview.
Computer Methods in Applied Mechanics and Engineering,
in press.
·
Bangti Jin, Xiliang Lu.
On the regularizing property of stochastic gradient
descent.
Inverse Problems 2019; 35(1), 015004, 27 pp.
·
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