## Jin, Bangti

Compute Distance To:
 Author ID: jin.bangti Published as: Jin, Bangti; Jin, B. T.; Jin, B.
 Documents Indexed: 115 Publications since 2003, including 2 Books 2 Contributions as Editor Reviewing Activity: 83 Reviews Co-Authors: 70 Co-Authors with 101 Joint Publications 2,628 Co-Co-Authors
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### Co-Authors

 5 single-authored 31 Zhou, Zhi 16 Lazarov, Raytcho D. 13 Zou, Jun 12 Ito, Kazufumi 9 Lu, Xiliang 7 Li, Buyang 7 Maass, Peter 5 Jiao, Yuling 5 Pasciak, Joseph E. 5 Takeuchi, Tomoya 4 Gehre, Matthias 4 Rundell, William 4 Zheng, Yao 3 Clason, Christian 3 Efendiev, Yalchin R. 3 Khan, Taufiquar 3 Marin, Liviu 2 Ammari, Habib M. 2 Arridge, Simon R. 2 Chen, Wen 2 Kluth, Tobias 2 Kunisch, Karl 2 Lorenz, Dirk Alfred 2 Xu, Yifeng 2 Zhang, Chen 2 Zhang, Wenlong 2 Zhou, Zehui 1 Adesokan, Bolaji James 1 Alberti, Giovanni S. 1 Bazhlekova, Emilia G. 1 Benvenuto, Federico 1 Bushe, W. Kendal 1 Calo, Victor Manuel 1 Chung, Tsz Shun Eric 1 Collier, Nathan 1 Duan, Beiping 1 Duong, Manh Hong 1 Fu, Zhuojia 1 Grout, Ray W. 1 Guha, Nilabja 1 Huang, Jian 1 Jacob, Bonnie C. 1 Jahn, Tim 1 Jensen, Bjørn Christian Skov 1 Kaipio, Jari P. 1 Kian, Yavar 1 Knudsen, Kim M. 1 Leung, Wingtat 1 Li, Guanglian 1 Lipponen, Antti 1 Liu, Jin 1 Liu, Yikan 1 Mallick, Bani K. 1 Michael, Presho 1 Pidcock, Michael K. 1 Radwan, Hany 1 Santillana, Mauricio 1 Scherzer, Otmar 1 Schiffler, Stefan 1 Seo, Jin Keun 1 Seppänen, Aku 1 Sheen, Dongwoo 1 Soh, Ai Kah 1 Sun, Fangyu 1 Sun, Zhiyuan 1 Tan, Xiaosi 1 Thomée, Vidar 1 Vabishchevich, Pëtr Nikolaevich 1 Vasilyeva, Maria V. 1 Wu, Xiaoqing 1 Yan, Yubin 1 Yang, Can 1 Zhao, Yubo
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### Serials

 22 Inverse Problems 8 Journal of Computational Physics 7 IMA Journal of Numerical Analysis 7 International Journal for Numerical Methods in Engineering 6 SIAM Journal on Numerical Analysis 4 Mathematics of Computation 4 Numerische Mathematik 4 SIAM Journal on Scientific Computing 3 Journal of Computational and Applied Mathematics 3 Engineering Analysis with Boundary Elements 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 SIAM Journal on Imaging Sciences 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Solids and Structures 2 SIAM Journal on Control and Optimization 2 Archive of Applied Mechanics 2 Fractional Calculus & Applied Analysis 2 Computational Methods in Applied Mathematics 2 Communications in Computational Physics 1 Applicable Analysis 1 International Journal of Engineering Science 1 Meccanica 1 Chinese Annals of Mathematics. Series B 1 Optimization 1 Statistical Science 1 Applied Mathematics Letters 1 IEEE Transactions on Signal Processing 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Optimization 1 Applied and Computational Harmonic Analysis 1 Journal of Inverse and Ill-Posed Problems 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Applied Statistics 1 Flow, Turbulence and Combustion 1 CMES. Computer Modeling in Engineering & Sciences 1 Journal of Zhejiang University. Science Edition 1 Communications in Mathematical Sciences 1 Journal of Applied Functional Analysis 1 Applied Mathematical Sciences 1 Series on Applied Mathematics (Singapore) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications on Applied Mathematics and Computation
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### Fields

 90 Numerical analysis (65-XX) 48 Partial differential equations (35-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Operator theory (47-XX) 10 Statistics (62-XX) 9 Ordinary differential equations (34-XX) 9 Mechanics of deformable solids (74-XX) 9 Optics, electromagnetic theory (78-XX) 6 Information and communication theory, circuits (94-XX) 5 Probability theory and stochastic processes (60-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Operations research, mathematical programming (90-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

108 Publications have been cited 2,380 times in 1,429 Documents Cited by Year
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2013
The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi
2015
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
2015
Numerical analysis of nonlinear subdiffusion equations. Zbl 1422.65228
Jin, Bangti; Li, Buyang; Zhou, Zhi
2018
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
2012
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2015
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2014
A meshless method for some inverse problems associated with the Helmholtz equation. Zbl 1123.65111
Jin, Bangti; Zheng, Yao
2006
A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2012
Correction of high-order BDF convolution quadrature for fractional evolution equations. Zbl 1379.65078
Jin, Bangti; Li, Buyang; Zhou, Zhi
2017
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113
Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2015
The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction. Zbl 1194.80101
Jin, Bangti; Marin, Liviu
2007
Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210
Ito, Kazufumi; Jin, Bangti
2015
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2019
Sparsity regularization for parameter identification problems. Zbl 1280.47063
Jin, Bangti; Maass, Peter
2012
Boundary knot method for some inverse problems associated with the Helmholtz equation. Zbl 1085.65104
Jin, Bangti; Zheng, Yao
2005
A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2013
A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
Subdiffusion with a time-dependent coefficient: analysis and numerical solution. Zbl 1417.65205
Jin, Bangti; Li, Buyang; Zhou, Zhi
2019
Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111
Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi
2016
An analysis of the Crank-Nicolson method for subdiffusion. Zbl 06983822
Jin, Bangti; Li, Buyang; Zhou, Zhi
2018
Numerical estimation of the Robin coefficient in a stationary diffusion equation. Zbl 1203.65232
Jin, Bangti; Zou, Jun
2010
Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation. Zbl 1182.65179
Jin, Bangti; Zheng, Yao
2005
Discrete maximal regularity of time-stepping schemes for fractional evolution equations. Zbl 1421.65025
Jin, Bangti; Li, Buyang; Zhou, Zhi
2018
Conjugate gradient method for the Robin inverse problem associated with the Laplace equation. Zbl 1194.65129
Jin, Bangti
2007
A reconstruction algorithm for electrical impedance tomography based on sparsity regularization. Zbl 1242.78016
Jin, Bangti; Khan, Taufiquar; Maass, Peter
2012
A duality-based splitting method for $$\ell^1-TV$$ image restoration with automatic regularization parameter choice. Zbl 1216.94009
Clason, Christian; Jin, Bangti; Kunisch, Karl
2010
Numerical identification of a Robin coefficient in parabolic problems. Zbl 1255.65170
Jin, Bangti; Lu, Xiliang
2012
A primal dual active set with continuation algorithm for the $$\ell^0$$-regularized optimization problem. Zbl 1329.49042
Jiao, Yuling; Jin, Bangti; Lu, Xiliang
2015
An analysis of electrical impedance tomography with applications to Tikhonov regularization. Zbl 1259.49056
Jin, Bangti; Maass, Peter
2012
Elastic-net regularization: error estimates and active set methods. Zbl 1188.49026
Jin, Bangti; Lorenz, Dirk A.; Schiffler, Stefan
2009
The plane wave method for inverse problems associated with Helmholtz-type equations. Zbl 1244.65163
Jin, Bangti; Marin, Liviu
2008
A semismooth Newton method for nonlinear parameter identification problems with impulsive noise. Zbl 1250.65134
Clason, Christian; Jin, Bangti
2012
A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172
Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi
2016
A finite element method with singularity reconstruction for fractional boundary value problems. Zbl 1332.65115
Jin, Bangti; Zhou, Zhi
2015
The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media. Zbl 1124.80400
Jin, Bangti; Zheng, Yao; Marin, Liviu
2006
Boundary knot method based on geodesic distance for anisotropic problems. Zbl 1093.65116
Jin, Bangti; Chen, Wen
2006
An analysis of Galerkin proper orthogonal decomposition for subdiffusion. Zbl 1365.65224
Jin, Bangti; Zhou, Zhi
2017
Heuristic parameter-choice rules for convex variational regularization based on error estimates. Zbl 1215.65100
Jin, Bangti; Lorenz, Dirk A.
2010
Sparsity reconstruction in electrical impedance tomography: an experimental evaluation. Zbl 1251.78008
Gehre, Matthias; Kluth, Tobias; Lipponen, Antti; Jin, Bangti; Seppänen, Aku; Kaipio, Jari P.; Maass, Peter
2012
A semismooth Newton method for $$\mathrm{L}^1$$ data fitting with automatic choice of regularization parameters and noise calibration. Zbl 1190.65022
Clason, Christian; Jin, Bangti; Kunisch, Karl
2010
A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique. Zbl 1244.65218
Chen, W.; Fu, Z. J.; Jin, B. T.
2010
Hierarchical Bayesian inference for ill-posed problems via variational method. Zbl 1198.65189
Jin, Bangti; Zou, Jun
2010
Multi-parameter Tikhonov regularization. Zbl 1285.65032
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2011
An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134
Jin, Bangti; Rundell, William
2012
Numerical estimation of piecewise constant Robin coefficient. Zbl 1197.65178
Jin, Bangti; Zou, Jun
2009
A meshless method for the Laplace and biharmonic equations subjected to noisy boundary data. Zbl 1081.65548
Jin, B.
2004
The linearized inverse problem in multifrequency electrical impedance tomography. Zbl 1381.94006
Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong
2016
A variational Bayesian method to inverse problems with impulsive noise. Zbl 1243.65115
Jin, Bangti
2012
Fast Bayesian approach for parameter estimation. Zbl 1195.65199
Jin, Bangti
2008
Preasymptotic convergence of randomized Kaczmarz method. Zbl 1382.65087
Jiao, Yuling; Jin, Bangti; Lu, Xiliang
2017
A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2011
Effect of interface stresses on the image force and stability of an edge dislocation inside a nanoscale cylindrical inclusion. Zbl 1236.74230
Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H.
2009
A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction. Zbl 1195.80039
Jin, Bangti; Zou, Jun
2008
On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197
Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi
2017
Interaction between a dislocation and a core-shell nanowire with interface effects. Zbl 1236.74231
Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H.
2009
Augmented Tikhonov regularization. Zbl 1163.65020
Jin, Bangti; Zou, Jun
2009
Inversion of Robin coefficient by a spectral stochastic finite element approach. Zbl 1141.65005
Jin, Bangti; Zou, Jun
2008
Sparsity regularization in inverse problems. Zbl 1369.00102
2017
Conditional source-term estimation as a method for chemical closure in premixed turbulent reacting flow. Zbl 1257.76157
Jin, B.; Grout, R.; Bushe, W. K.
2008
Multilevel Markov chain Monte Carlo method for high-contrast single-phase flow problems. Zbl 1373.76084
Efendiev, Yalchin; Jin, Bangti; Michael, Presho; Tan, Xiaosi
2015
A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063
Ito, Kazufumi; Jin, Bangti
2011
Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface. Zbl 1161.74377
Jin, B.; Fang, Q. H.
2008
Expectation propagation for nonlinear inverse problems – with an application to electrical impedance tomography. Zbl 1349.78046
Gehre, Matthias; Jin, Bangti
2014
Galerkin FEM for fractional order parabolic equations with initial data in $$H ^{ - s }$$, $$0 \leq s \leq 1$$. Zbl 1352.65351
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2013
Numerical approximation of stochastic time-fractional diffusion. Zbl 1447.60126
Yan, Yubin; Zhou, Zhi; Jin, Bangti
2019
Propagation of an anti-plane moving crack in a functionally graded piezoelectric strip. Zbl 1068.74598
Jin, B.; Soh, A. K.; Zhong, Z.
2003
Interaction between screw dislocations and inclusions with imperfect interfaces in fiber-reinforced composites. Zbl 1168.74018
Fang, Q. H.; Jin, B.; Liu, Y.; Liu, Y. W.
2009
Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065
Jin, Bangti; Li, Buyang; Zhou, Zhi
2020
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2018
Image force and stability of a screw dislocation inside a coated cylindrical inhomogeneity with interface stresses. Zbl 1284.74005
Feng, H.; Fang, Q. H.; Liu, Y. W.; Jin, B.
2011
A convergent adaptive finite element method for electrical impedance tomography. Zbl 1433.78023
Jin, Bangti; Xu, Yifeng; Zou, Jun
2017
On a Legendre tau method for fractional boundary value problems with a Caputo derivative. Zbl 1338.65196
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2016
On the regularizing property of stochastic gradient descent. Zbl 07000893
Jin, Bangti; Lu, Xiliang
2019
Group sparse recovery via the $$\ell^0(\ell^2)$$ penalty: theory and algorithm. Zbl 1414.94280
Jiao, Yuling; Jin, Bangti; Lu, Xiliang
2017
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Zbl 1446.65069
Jin, Bangti; Li, Buyang; Zhou, Zhi
2020
An analysis of finite element approximation in electrical impedance tomography. Zbl 1288.78033
Gehre, Matthias; Jin, Bangti; Lu, Xiliang
2014
On the sectorial property of the Caputo derivative operator. Zbl 1371.34124
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2015
Numerical identification of a sparse Robin coefficient. Zbl 1308.65191
Sun, Zhiyuan; Jiao, Yuling; Jin, Bangti; Lu, Xiliang
2015
On the convergence of stochastic gradient descent for nonlinear ill-posed problems. Zbl 07202491
Jin, Bangti; Zhou, Zehui; Zou, Jun
2020
Iterative parameter choice by discrepancy principle. Zbl 1261.65052
Jin, Bangti; Zhao, Yubo; Zou, Jun
2012
Multi-parameter Tikhonov regularization – an augmented approach. Zbl 1309.65065
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2014
A piezoelectric screw dislocation in a three-phase composite cylinder model with an imperfect interface. Zbl 1213.74129
Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H.
2009
A unified primal dual active set algorithm for nonconvex sparse recovery. Zbl 07368234
Huang, Jian; Jiao, Yuling; Jin, Bangti; Liu, Jin; Lu, Xiliang; Yang, Can
2021
A new choice rule for regularization parameters in Tikhonov regularization. Zbl 1228.65082
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2011
On the degree of ill-posedness of multi-dimensional magnetic particle imaging. Zbl 1397.82067
Kluth, Tobias; Jin, Bangti; Li, Guanglian
2018
A variational Bayesian approach for inverse problems with skew-$$t$$ error distributions. Zbl 1349.62079
Guha, Nilabja; Wu, Xiaoqing; Efendiev, Yalchin; Jin, Bangti; Mallick, Bani K.
2015
Shielding effect and emission condition of a screw dislocation near a blunt crack in elliptical inhomogeneity. Zbl 1258.74190
Liu, Y. W.; Song, H. P.; Fang, Q. H.; Jin, B.
2010
Acousto-electric tomography with total variation regularization. Zbl 1410.65429
Adesokan, Bolaji James; Jensen, Bjørn; Jin, Bangti; Knudsen, Kim
2019
Incomplete iterative solution of subdiffusion. Zbl 1453.65326
Jin, Bangti; Zhou, Zhi
2020
Variational Gaussian approximation for Poisson data. Zbl 1433.62043
Arridge, Simon R.; Ito, Kazufumi; Jin, Bangti; Zhang, Chen
2018
Gradient-based estimation of Manning’s friction coefficient from noisy data. Zbl 1252.76060
Calo, Victor M.; Collier, Nathan; Gehre, Matthias; Jin, Bangti; Radwan, Hany; Santillana, Mauricio
2013
Function spaces and optimal currents in impedance tomography. Zbl 1279.35109
Jin, Bangti; Khan, Taufiquar; Maass, Peter; Pidcock, Michael
2011
Reconstruction of a space-time-dependent source in subdiffusion models via a perturbation approach. Zbl 1470.35433
Jin, Bangti; Kian, Yavar; Zhou, Zhi
2021
Method of fundamental solutions for a three-dimensional inverse problem in linear elasticity. Zbl 1148.74328
Wang, Jun; Sun, Fangyu; Jin, Bangti
2006
A parameter choice rule for Tikhonov regularization based on predictive risk. Zbl 07211714
Benvenuto, Federico; Jin, Bangti
2020
Linearized reconstruction for diffuse optical spectroscopic imaging. Zbl 1425.94006
Ammari, Habib; Jin, Bangti; Zhang, Wenlong
2019
A unified primal dual active set algorithm for nonconvex sparse recovery. Zbl 07368234
Huang, Jian; Jiao, Yuling; Jin, Bangti; Liu, Jin; Lu, Xiliang; Yang, Can
2021
Reconstruction of a space-time-dependent source in subdiffusion models via a perturbation approach. Zbl 1470.35433
Jin, Bangti; Kian, Yavar; Zhou, Zhi
2021
An inverse potential problem for subdiffusion: stability and reconstruction. Zbl 1458.35477
Jin, Bangti; Zhou, Zhi
2021
Numerical estimation of a diffusion coefficient in subdiffusion. Zbl 1468.65127
Jin, Bangti; Zhou, Zhi
2021
Fractional differential equations. An approach via fractional derivatives. Zbl 1466.34002
Jin, Bangti
2021
Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065
Jin, Bangti; Li, Buyang; Zhou, Zhi
2020
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Zbl 1446.65069
Jin, Bangti; Li, Buyang; Zhou, Zhi
2020
On the convergence of stochastic gradient descent for nonlinear ill-posed problems. Zbl 07202491
Jin, Bangti; Zhou, Zehui; Zou, Jun
2020
Incomplete iterative solution of subdiffusion. Zbl 1453.65326
Jin, Bangti; Zhou, Zhi
2020
A parameter choice rule for Tikhonov regularization based on predictive risk. Zbl 07211714
Benvenuto, Federico; Jin, Bangti
2020
Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity. Zbl 1439.35564
Jin, Bangti; Xu, Yifeng
2020
On the discrepancy principle for stochastic gradient descent. Zbl 07252746
Jahn, Tim; Jin, Bangti
2020
Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation. Zbl 1467.35318
Duong, Manh Hong; Jin, Bangti
2020
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2019
Subdiffusion with a time-dependent coefficient: analysis and numerical solution. Zbl 1417.65205
Jin, Bangti; Li, Buyang; Zhou, Zhi
2019
Numerical approximation of stochastic time-fractional diffusion. Zbl 1447.60126
Yan, Yubin; Zhou, Zhi; Jin, Bangti
2019
On the regularizing property of stochastic gradient descent. Zbl 07000893
Jin, Bangti; Lu, Xiliang
2019
Acousto-electric tomography with total variation regularization. Zbl 1410.65429
Adesokan, Bolaji James; Jensen, Bjørn; Jin, Bangti; Knudsen, Kim
2019
Linearized reconstruction for diffuse optical spectroscopic imaging. Zbl 1425.94006
Ammari, Habib; Jin, Bangti; Zhang, Wenlong
2019
Expectation propagation for Poisson data. Zbl 1425.62050
Zhang, Chen; Arridge, Simon; Jin, Bangti
2019
Numerical analysis of nonlinear subdiffusion equations. Zbl 1422.65228
Jin, Bangti; Li, Buyang; Zhou, Zhi
2018
An analysis of the Crank-Nicolson method for subdiffusion. Zbl 06983822
Jin, Bangti; Li, Buyang; Zhou, Zhi
2018
Discrete maximal regularity of time-stepping schemes for fractional evolution equations. Zbl 1421.65025
Jin, Bangti; Li, Buyang; Zhou, Zhi
2018
Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311
Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2018
On the degree of ill-posedness of multi-dimensional magnetic particle imaging. Zbl 1397.82067
Kluth, Tobias; Jin, Bangti; Li, Guanglian
2018
Variational Gaussian approximation for Poisson data. Zbl 1433.62043
Arridge, Simon R.; Ito, Kazufumi; Jin, Bangti; Zhang, Chen
2018
Correction of high-order BDF convolution quadrature for fractional evolution equations. Zbl 1379.65078
Jin, Bangti; Li, Buyang; Zhou, Zhi
2017
An analysis of Galerkin proper orthogonal decomposition for subdiffusion. Zbl 1365.65224
Jin, Bangti; Zhou, Zhi
2017
Preasymptotic convergence of randomized Kaczmarz method. Zbl 1382.65087
Jiao, Yuling; Jin, Bangti; Lu, Xiliang
2017
On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197
Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi
2017
Sparsity regularization in inverse problems. Zbl 1369.00102
2017
A convergent adaptive finite element method for electrical impedance tomography. Zbl 1433.78023
Jin, Bangti; Xu, Yifeng; Zou, Jun
2017
Group sparse recovery via the $$\ell^0(\ell^2)$$ penalty: theory and algorithm. Zbl 1414.94280
Jiao, Yuling; Jin, Bangti; Lu, Xiliang
2017
Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030
2017
Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2016
Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111
Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi
2016
A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172
Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi
2016
The linearized inverse problem in multifrequency electrical impedance tomography. Zbl 1381.94006
Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong
2016
On a Legendre tau method for fractional boundary value problems with a Caputo derivative. Zbl 1338.65196
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2016
The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350
Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi
2015
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
2015
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2015
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113
Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2015
Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210
Ito, Kazufumi; Jin, Bangti
2015
A primal dual active set with continuation algorithm for the $$\ell^0$$-regularized optimization problem. Zbl 1329.49042
Jiao, Yuling; Jin, Bangti; Lu, Xiliang
2015
A finite element method with singularity reconstruction for fractional boundary value problems. Zbl 1332.65115
Jin, Bangti; Zhou, Zhi
2015
Multilevel Markov chain Monte Carlo method for high-contrast single-phase flow problems. Zbl 1373.76084
Efendiev, Yalchin; Jin, Bangti; Michael, Presho; Tan, Xiaosi
2015
On the sectorial property of the Caputo derivative operator. Zbl 1371.34124
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2015
Numerical identification of a sparse Robin coefficient. Zbl 1308.65191
Sun, Zhiyuan; Jiao, Yuling; Jin, Bangti; Lu, Xiliang
2015
A variational Bayesian approach for inverse problems with skew-$$t$$ error distributions. Zbl 1349.62079
Guha, Nilabja; Wu, Xiaoqing; Efendiev, Yalchin; Jin, Bangti; Mallick, Bani K.
2015
Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2014
Expectation propagation for nonlinear inverse problems – with an application to electrical impedance tomography. Zbl 1349.78046
Gehre, Matthias; Jin, Bangti
2014
An analysis of finite element approximation in electrical impedance tomography. Zbl 1288.78033
Gehre, Matthias; Jin, Bangti; Lu, Xiliang
2014
Multi-parameter Tikhonov regularization – an augmented approach. Zbl 1309.65065
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2014
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi
2013
A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2013
Galerkin FEM for fractional order parabolic equations with initial data in $$H ^{ - s }$$, $$0 \leq s \leq 1$$. Zbl 1352.65351
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi
2013
Gradient-based estimation of Manning’s friction coefficient from noisy data. Zbl 1252.76060
Calo, Victor M.; Collier, Nathan; Gehre, Matthias; Jin, Bangti; Radwan, Hany; Santillana, Mauricio
2013
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
2012
A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2012
Sparsity regularization for parameter identification problems. Zbl 1280.47063
Jin, Bangti; Maass, Peter
2012
A reconstruction algorithm for electrical impedance tomography based on sparsity regularization. Zbl 1242.78016
Jin, Bangti; Khan, Taufiquar; Maass, Peter
2012
Numerical identification of a Robin coefficient in parabolic problems. Zbl 1255.65170
Jin, Bangti; Lu, Xiliang
2012
An analysis of electrical impedance tomography with applications to Tikhonov regularization. Zbl 1259.49056
Jin, Bangti; Maass, Peter
2012
A semismooth Newton method for nonlinear parameter identification problems with impulsive noise. Zbl 1250.65134
Clason, Christian; Jin, Bangti
2012
Sparsity reconstruction in electrical impedance tomography: an experimental evaluation. Zbl 1251.78008
Gehre, Matthias; Kluth, Tobias; Lipponen, Antti; Jin, Bangti; Seppänen, Aku; Kaipio, Jari P.; Maass, Peter
2012
An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134
Jin, Bangti; Rundell, William
2012
A variational Bayesian method to inverse problems with impulsive noise. Zbl 1243.65115
Jin, Bangti
2012
Iterative parameter choice by discrepancy principle. Zbl 1261.65052
Jin, Bangti; Zhao, Yubo; Zou, Jun
2012
Multi-parameter Tikhonov regularization. Zbl 1285.65032
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2011
A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054
Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya
2011
A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063
Ito, Kazufumi; Jin, Bangti
2011
Image force and stability of a screw dislocation inside a coated cylindrical inhomogeneity with interface stresses. Zbl 1284.74005
Feng, H.; Fang, Q. H.; Liu, Y. W.; Jin, B.
2011
A new choice rule for regularization parameters in Tikhonov regularization. Zbl 1228.65082
Ito, Kazufumi; Jin, Bangti; Zou, Jun
2011
Function spaces and optimal currents in impedance tomography. Zbl 1279.35109
Jin, Bangti; Khan, Taufiquar; Maass, Peter; Pidcock, Michael
2011
Numerical estimation of the Robin coefficient in a stationary diffusion equation. Zbl 1203.65232
Jin, Bangti; Zou, Jun
2010
A duality-based splitting method for $$\ell^1-TV$$ image restoration with automatic regularization parameter choice. Zbl 1216.94009
Clason, Christian; Jin, Bangti; Kunisch, Karl
2010
Heuristic parameter-choice rules for convex variational regularization based on error estimates. Zbl 1215.65100
Jin, Bangti; Lorenz, Dirk A.
2010
A semismooth Newton method for $$\mathrm{L}^1$$ data fitting with automatic choice of regularization parameters and noise calibration. Zbl 1190.65022
Clason, Christian; Jin, Bangti; Kunisch, Karl
2010
A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique. Zbl 1244.65218
Chen, W.; Fu, Z. J.; Jin, B. T.
2010
Hierarchical Bayesian inference for ill-posed problems via variational method. Zbl 1198.65189
Jin, Bangti; Zou, Jun
2010
Shielding effect and emission condition of a screw dislocation near a blunt crack in elliptical inhomogeneity. Zbl 1258.74190
Liu, Y. W.; Song, H. P.; Fang, Q. H.; Jin, B.
2010
Elastic-net regularization: error estimates and active set methods. Zbl 1188.49026
Jin, Bangti; Lorenz, Dirk A.; Schiffler, Stefan
2009
Numerical estimation of piecewise constant Robin coefficient. Zbl 1197.65178
Jin, Bangti; Zou, Jun
2009
Effect of interface stresses on the image force and stability of an edge dislocation inside a nanoscale cylindrical inclusion. Zbl 1236.74230
Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H.
2009
Interaction between a dislocation and a core-shell nanowire with interface effects. Zbl 1236.74231
Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H.
2009
Augmented Tikhonov regularization. Zbl 1163.65020
Jin, Bangti; Zou, Jun
2009
Interaction between screw dislocations and inclusions with imperfect interfaces in fiber-reinforced composites. Zbl 1168.74018
Fang, Q. H.; Jin, B.; Liu, Y.; Liu, Y. W.
2009
A piezoelectric screw dislocation in a three-phase composite cylinder model with an imperfect interface. Zbl 1213.74129
Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H.
2009
The plane wave method for inverse problems associated with Helmholtz-type equations. Zbl 1244.65163
Jin, Bangti; Marin, Liviu
2008
Fast Bayesian approach for parameter estimation. Zbl 1195.65199
Jin, Bangti
2008
A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction. Zbl 1195.80039
Jin, Bangti; Zou, Jun
2008
Inversion of Robin coefficient by a spectral stochastic finite element approach. Zbl 1141.65005
Jin, Bangti; Zou, Jun
2008
Conditional source-term estimation as a method for chemical closure in premixed turbulent reacting flow. Zbl 1257.76157
Jin, B.; Grout, R.; Bushe, W. K.
2008
Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface. Zbl 1161.74377
Jin, B.; Fang, Q. H.
2008
The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction. Zbl 1194.80101
Jin, Bangti; Marin, Liviu
2007
Conjugate gradient method for the Robin inverse problem associated with the Laplace equation. Zbl 1194.65129
Jin, Bangti
2007
...and 8 more Documents
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### Cited by 1,753 Authors

 57 Jin, Bangti 40 Wang, Hong 33 Zhou, Zhi 25 Zheng, Xiangcheng 23 Stynes, Martin 23 Wei, Ting 23 Zou, Jun 19 Liu, Fawang 17 Li, Hong 17 Liu, Yang 17 Lu, Xiliang 17 Nguyen Huy Tuan 16 Marin, Liviu 16 Xu, Da 15 Zhang, Jiwei 14 Liao, HongLin 13 Jiao, Yuling 13 Karniadakis, George Em 13 Li, Buyang 13 Yamamoto, Masahiro 13 Yan, Yubin 12 Chen, Hu 12 Han, Bo 12 Kaltenbacher, Barbara 12 Lesnic, Daniel 12 Li, Dongfang 12 Liu, Chein-Shan 12 Lu, Shujuan 11 Deng, Weihua 11 Ito, Kazufumi 11 Jiang, Daijun 11 Li, Changpin 11 Lyu, Pin 11 Mustapha, Kassem 11 Vong, Seakweng 11 Wang, Jungang 11 Yan, Liang 11 Zhao, Yanmin 10 Fu, Chuli 10 Fu, Hongfei 10 Klibanov, Michael V. 10 Lazarov, Raytcho D. 10 Rundell, William 10 Zeng, Fanhai 9 Chen, Wen 9 Dehghan Takht Fooladi, Mehdi 9 Huang, Chaobao 9 Li, Gongsheng 9 Liu, Jijun 9 Maass, Peter 9 Turner, Ian William 9 Zhang, Zhimin 8 Ammari, Habib M. 8 Băleanu, Dumitru I. 8 Cheng, Xiaoliang 8 Chow, Yat Tin 8 Ervin, Vincent J. 8 Gracia, José Luis 8 Hao, Zhaopeng 8 Jia, Xianzheng 8 McLean, William 8 O’Regan, Donal 8 Park, Won-Kwang 8 Tang, Yifa 8 Wang, Fenling 8 Wei, LeiLei 8 Yang, Fan 8 Yang, Fenglian 8 Yin, Baoli 8 Zhang, Zhidong 7 An, Na 7 Cao, Wanrong 7 Chen, An 7 Chen, Huanzhen 7 Chen, Yanping 7 Jia, Junxiong 7 Karaa, Samir 7 Kopteva, Natalia Viktorovna 7 Li, Binjie 7 Li, Xiaoxiao 7 Liu, Keji 7 Liu, Yikan 7 Lizama, Carlos 7 Nguyen, Dinh Liem 7 Nie, Daxin 7 Ruan, Zhousheng 7 Sun, Chunlong 7 Sun, Jing 7 Sun, Zhizhong 7 Wang, Jilu 7 Wang, Lilian 7 Xie, Jianqiang 7 Xie, Xiaoping 7 Zhang, Zhiyue 7 Zhou, Zhaojie 6 Chen, Wenping 6 Clason, Christian 6 Fu, Zhuojia 6 Huang, Chengming 6 Huang, Jian ...and 1,653 more Authors
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### Cited in 186 Serials

 89 Inverse Problems 76 Journal of Scientific Computing 66 Applied Numerical Mathematics 64 Engineering Analysis with Boundary Elements 62 Computers & Mathematics with Applications 59 Journal of Computational and Applied Mathematics 52 Journal of Computational Physics 48 Inverse Problems in Science and Engineering 41 Numerical Algorithms 39 Applied Mathematics and Computation 38 SIAM Journal on Scientific Computing 37 SIAM Journal on Numerical Analysis 33 Fractional Calculus & Applied Analysis 31 Applied Mathematics Letters 28 Applied Mathematical Modelling 28 Journal of Inverse and Ill-Posed Problems 27 International Journal of Computer Mathematics 21 Advances in Difference Equations 21 Inverse Problems and Imaging 20 Applicable Analysis 18 Mathematics and Computers in Simulation 18 Computational and Applied Mathematics 18 Advances in Computational Mathematics 16 Computational Methods in Applied Mathematics 16 SIAM Journal on Imaging Sciences 13 Numerische Mathematik 12 Computer Methods in Applied Mechanics and Engineering 12 Mathematics of Computation 12 Mathematical Problems in Engineering 11 SIAM Journal on Applied Mathematics 11 Communications in Nonlinear Science and Numerical Simulation 10 International Journal for Numerical Methods in Engineering 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Journal of Mathematical Analysis and Applications 9 BIT 9 Computational Mechanics 9 Advances in Mathematical Physics 9 East Asian Journal on Applied Mathematics 9 Communications on Applied Mathematics and Computation 8 Communications in Computational Physics 6 Chaos, Solitons and Fractals 6 Numerical Methods for Partial Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Applied Mathematics and Computing 6 Advances in Applied Mathematics and Mechanics 6 AIMS Mathematics 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Control and Optimization 5 Taiwanese Journal of Mathematics 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 International Journal of Heat and Mass Transfer 4 Mathematical Methods in the Applied Sciences 4 Journal of Differential Equations 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Complexity 4 SIAM Journal on Mathematical Analysis 4 Discrete and Continuous Dynamical Systems 4 Lobachevskii Journal of Mathematics 4 Journal of Applied Analysis and Computation 4 Evolution Equations and Control Theory 3 Calcolo 3 Optimization 3 Journal of Integral Equations and Applications 3 Applications of Mathematics 3 Computational Mathematics and Mathematical Physics 3 Journal of Mathematical Imaging and Vision 3 Computational Optimization and Applications 3 Nonlinear Dynamics 3 Optimization Methods & Software 3 Journal of Inequalities and Applications 3 Mathematical Modelling and Analysis 3 Journal of Applied Mathematics 3 Multiscale Modeling & Simulation 3 International Journal of Computational Methods 3 Complex Variables and Elliptic Equations 3 Journal of Function Spaces 2 Computer Physics Communications 2 International Journal of Solids and Structures 2 Journal of Mathematical Physics 2 Applied Mathematics and Optimization 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Chinese Annals of Mathematics. Series B 2 SIAM Journal on Matrix Analysis and Applications 2 European Journal of Applied Mathematics 2 Journal of Statistical Computation and Simulation 2 SIAM Journal on Optimization 2 Applied Mathematics. Series B (English Edition) 2 Applied and Computational Harmonic Analysis 2 Integral Transforms and Special Functions 2 Mathematics and Mechanics of Solids 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Chaos 2 Computational Geosciences 2 The ANZIAM Journal 2 Foundations of Computational Mathematics 2 Journal of Systems Science and Complexity 2 Communications on Pure and Applied Analysis 2 International Journal of Numerical Analysis and Modeling 2 Boundary Value Problems ...and 86 more Serials
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### Cited in 40 Fields

 1,130 Numerical analysis (65-XX) 867 Partial differential equations (35-XX) 188 Real functions (26-XX) 83 Ordinary differential equations (34-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 76 Fluid mechanics (76-XX) 71 Operator theory (47-XX) 71 Statistics (62-XX) 68 Integral equations (45-XX) 64 Optics, electromagnetic theory (78-XX) 52 Mechanics of deformable solids (74-XX) 50 Operations research, mathematical programming (90-XX) 49 Classical thermodynamics, heat transfer (80-XX) 49 Information and communication theory, circuits (94-XX) 43 Biology and other natural sciences (92-XX) 39 Probability theory and stochastic processes (60-XX) 26 Approximations and expansions (41-XX) 24 Computer science (68-XX) 23 Special functions (33-XX) 20 Integral transforms, operational calculus (44-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Systems theory; control (93-XX) 13 Difference and functional equations (39-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Geophysics (86-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Functional analysis (46-XX) 5 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)