Edit Profile (opens in new tab) Jin, Bangti Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1268.65126Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 151 2013 The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi 130 2015 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 122 2016 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 116 2016 A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027Jin, Bangti; Rundell, William 106 2015 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 96 2015 Numerical analysis of nonlinear subdiffusion equations. Zbl 1422.65228Jin, Bangti; Li, Buyang; Zhou, Zhi 78 2018 An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203Jin, Bangti; Rundell, William 73 2012 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 65 2015 Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 59 2014 A meshless method for some inverse problems associated with the Helmholtz equation. Zbl 1123.65111Jin, Bangti; Zheng, Yao 59 2006 A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025Ito, Kazufumi; Jin, Bangti; Zou, Jun 54 2012 Correction of high-order BDF convolution quadrature for fractional evolution equations. Zbl 1379.65078Jin, Bangti; Li, Buyang; Zhou, Zhi 54 2017 An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 45 2015 The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction. Zbl 1194.80101Jin, Bangti; Marin, Liviu 44 2007 Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210Ito, Kazufumi; Jin, Bangti 41 2015 Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 40 2019 Sparsity regularization for parameter identification problems. Zbl 1280.47063Jin, Bangti; Maass, Peter 38 2012 Boundary knot method for some inverse problems associated with the Helmholtz equation. Zbl 1085.65104Jin, Bangti; Zheng, Yao 35 2005 A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008Ito, Kazufumi; Jin, Bangti; Zou, Jun 34 2013 A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 33 2016 Subdiffusion with a time-dependent coefficient: analysis and numerical solution. Zbl 1417.65205Jin, Bangti; Li, Buyang; Zhou, Zhi 33 2019 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 32 2016 An analysis of the Crank-Nicolson method for subdiffusion. Zbl 06983822Jin, Bangti; Li, Buyang; Zhou, Zhi 31 2018 Numerical estimation of the Robin coefficient in a stationary diffusion equation. Zbl 1203.65232Jin, Bangti; Zou, Jun 30 2010 Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation. Zbl 1182.65179Jin, Bangti; Zheng, Yao 30 2005 Discrete maximal regularity of time-stepping schemes for fractional evolution equations. Zbl 1421.65025Jin, Bangti; Li, Buyang; Zhou, Zhi 30 2018 Conjugate gradient method for the Robin inverse problem associated with the Laplace equation. Zbl 1194.65129Jin, Bangti 29 2007 A reconstruction algorithm for electrical impedance tomography based on sparsity regularization. Zbl 1242.78016Jin, Bangti; Khan, Taufiquar; Maass, Peter 26 2012 A duality-based splitting method for \(\ell^1-TV\) image restoration with automatic regularization parameter choice. Zbl 1216.94009Clason, Christian; Jin, Bangti; Kunisch, Karl 24 2010 Numerical identification of a Robin coefficient in parabolic problems. Zbl 1255.65170Jin, Bangti; Lu, Xiliang 22 2012 A primal dual active set with continuation algorithm for the \(\ell^0\)-regularized optimization problem. Zbl 1329.49042Jiao, Yuling; Jin, Bangti; Lu, Xiliang 21 2015 An analysis of electrical impedance tomography with applications to Tikhonov regularization. Zbl 1259.49056Jin, Bangti; Maass, Peter 21 2012 Elastic-net regularization: error estimates and active set methods. Zbl 1188.49026Jin, Bangti; Lorenz, Dirk A.; Schiffler, Stefan 20 2009 The plane wave method for inverse problems associated with Helmholtz-type equations. Zbl 1244.65163Jin, Bangti; Marin, Liviu 19 2008 A semismooth Newton method for nonlinear parameter identification problems with impulsive noise. Zbl 1250.65134Clason, Christian; Jin, Bangti 19 2012 A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi 18 2016 A finite element method with singularity reconstruction for fractional boundary value problems. Zbl 1332.65115Jin, Bangti; Zhou, Zhi 18 2015 The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media. Zbl 1124.80400Jin, Bangti; Zheng, Yao; Marin, Liviu 18 2006 Boundary knot method based on geodesic distance for anisotropic problems. Zbl 1093.65116Jin, Bangti; Chen, Wen 18 2006 An analysis of Galerkin proper orthogonal decomposition for subdiffusion. Zbl 1365.65224Jin, Bangti; Zhou, Zhi 16 2017 Heuristic parameter-choice rules for convex variational regularization based on error estimates. Zbl 1215.65100Jin, Bangti; Lorenz, Dirk A. 16 2010 Sparsity reconstruction in electrical impedance tomography: an experimental evaluation. Zbl 1251.78008Gehre, Matthias; Kluth, Tobias; Lipponen, Antti; Jin, Bangti; Seppänen, Aku; Kaipio, Jari P.; Maass, Peter 15 2012 A semismooth Newton method for \(\mathrm{L}^1\) data fitting with automatic choice of regularization parameters and noise calibration. Zbl 1190.65022Clason, Christian; Jin, Bangti; Kunisch, Karl 15 2010 A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique. Zbl 1244.65218Chen, W.; Fu, Z. J.; Jin, B. T. 15 2010 Hierarchical Bayesian inference for ill-posed problems via variational method. Zbl 1198.65189Jin, Bangti; Zou, Jun 14 2010 Multi-parameter Tikhonov regularization. Zbl 1285.65032Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 14 2011 An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134Jin, Bangti; Rundell, William 13 2012 Numerical estimation of piecewise constant Robin coefficient. Zbl 1197.65178Jin, Bangti; Zou, Jun 12 2009 A meshless method for the Laplace and biharmonic equations subjected to noisy boundary data. Zbl 1081.65548Jin, B. 12 2004 The linearized inverse problem in multifrequency electrical impedance tomography. Zbl 1381.94006Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong 12 2016 A variational Bayesian method to inverse problems with impulsive noise. Zbl 1243.65115Jin, Bangti 11 2012 Fast Bayesian approach for parameter estimation. Zbl 1195.65199Jin, Bangti 11 2008 Preasymptotic convergence of randomized Kaczmarz method. Zbl 1382.65087Jiao, Yuling; Jin, Bangti; Lu, Xiliang 11 2017 A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 10 2011 Effect of interface stresses on the image force and stability of an edge dislocation inside a nanoscale cylindrical inclusion. Zbl 1236.74230Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H. 10 2009 A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction. Zbl 1195.80039Jin, Bangti; Zou, Jun 10 2008 On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi 9 2017 Interaction between a dislocation and a core-shell nanowire with interface effects. Zbl 1236.74231Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H. 9 2009 Augmented Tikhonov regularization. Zbl 1163.65020Jin, Bangti; Zou, Jun 9 2009 Inversion of Robin coefficient by a spectral stochastic finite element approach. Zbl 1141.65005Jin, Bangti; Zou, Jun 9 2008 Sparsity regularization in inverse problems. Zbl 1369.00102 9 2017 Conditional source-term estimation as a method for chemical closure in premixed turbulent reacting flow. Zbl 1257.76157Jin, B.; Grout, R.; Bushe, W. K. 9 2008 Multilevel Markov chain Monte Carlo method for high-contrast single-phase flow problems. Zbl 1373.76084Efendiev, Yalchin; Jin, Bangti; Michael, Presho; Tan, Xiaosi 9 2015 A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063Ito, Kazufumi; Jin, Bangti 8 2011 Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface. Zbl 1161.74377Jin, B.; Fang, Q. H. 8 2008 Expectation propagation for nonlinear inverse problems – with an application to electrical impedance tomography. Zbl 1349.78046Gehre, Matthias; Jin, Bangti 8 2014 Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2013 Numerical approximation of stochastic time-fractional diffusion. Zbl 1447.60126Yan, Yubin; Zhou, Zhi; Jin, Bangti 8 2019 Propagation of an anti-plane moving crack in a functionally graded piezoelectric strip. Zbl 1068.74598Jin, B.; Soh, A. K.; Zhong, Z. 7 2003 Interaction between screw dislocations and inclusions with imperfect interfaces in fiber-reinforced composites. Zbl 1168.74018Fang, Q. H.; Jin, B.; Liu, Y.; Liu, Y. W. 7 2009 Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065Jin, Bangti; Li, Buyang; Zhou, Zhi 7 2020 Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 7 2018 Image force and stability of a screw dislocation inside a coated cylindrical inhomogeneity with interface stresses. Zbl 1284.74005Feng, H.; Fang, Q. H.; Liu, Y. W.; Jin, B. 6 2011 A convergent adaptive finite element method for electrical impedance tomography. Zbl 1433.78023Jin, Bangti; Xu, Yifeng; Zou, Jun 6 2017 On a Legendre tau method for fractional boundary value problems with a Caputo derivative. Zbl 1338.65196Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 5 2016 On the regularizing property of stochastic gradient descent. Zbl 07000893Jin, Bangti; Lu, Xiliang 5 2019 Group sparse recovery via the \(\ell^0(\ell^2)\) penalty: theory and algorithm. Zbl 1414.94280Jiao, Yuling; Jin, Bangti; Lu, Xiliang 5 2017 Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Zbl 1446.65069Jin, Bangti; Li, Buyang; Zhou, Zhi 5 2020 An analysis of finite element approximation in electrical impedance tomography. Zbl 1288.78033Gehre, Matthias; Jin, Bangti; Lu, Xiliang 5 2014 On the sectorial property of the Caputo derivative operator. Zbl 1371.34124Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 4 2015 Numerical identification of a sparse Robin coefficient. Zbl 1308.65191Sun, Zhiyuan; Jiao, Yuling; Jin, Bangti; Lu, Xiliang 4 2015 On the convergence of stochastic gradient descent for nonlinear ill-posed problems. Zbl 07202491Jin, Bangti; Zhou, Zehui; Zou, Jun 4 2020 Iterative parameter choice by discrepancy principle. Zbl 1261.65052Jin, Bangti; Zhao, Yubo; Zou, Jun 4 2012 Multi-parameter Tikhonov regularization – an augmented approach. Zbl 1309.65065Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 4 2014 A piezoelectric screw dislocation in a three-phase composite cylinder model with an imperfect interface. Zbl 1213.74129Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H. 4 2009 A unified primal dual active set algorithm for nonconvex sparse recovery. Zbl 07368234Huang, Jian; Jiao, Yuling; Jin, Bangti; Liu, Jin; Lu, Xiliang; Yang, Can 4 2021 A new choice rule for regularization parameters in Tikhonov regularization. Zbl 1228.65082Ito, Kazufumi; Jin, Bangti; Zou, Jun 3 2011 On the degree of ill-posedness of multi-dimensional magnetic particle imaging. Zbl 1397.82067Kluth, Tobias; Jin, Bangti; Li, Guanglian 3 2018 A variational Bayesian approach for inverse problems with skew-\(t\) error distributions. Zbl 1349.62079Guha, Nilabja; Wu, Xiaoqing; Efendiev, Yalchin; Jin, Bangti; Mallick, Bani K. 3 2015 Shielding effect and emission condition of a screw dislocation near a blunt crack in elliptical inhomogeneity. Zbl 1258.74190Liu, Y. W.; Song, H. P.; Fang, Q. H.; Jin, B. 3 2010 Acousto-electric tomography with total variation regularization. Zbl 1410.65429Adesokan, Bolaji James; Jensen, Bjørn; Jin, Bangti; Knudsen, Kim 2 2019 Incomplete iterative solution of subdiffusion. Zbl 1453.65326Jin, Bangti; Zhou, Zhi 2 2020 Variational Gaussian approximation for Poisson data. Zbl 1433.62043Arridge, Simon R.; Ito, Kazufumi; Jin, Bangti; Zhang, Chen 2 2018 Gradient-based estimation of Manning’s friction coefficient from noisy data. Zbl 1252.76060Calo, Victor M.; Collier, Nathan; Gehre, Matthias; Jin, Bangti; Radwan, Hany; Santillana, Mauricio 2 2013 Function spaces and optimal currents in impedance tomography. Zbl 1279.35109Jin, Bangti; Khan, Taufiquar; Maass, Peter; Pidcock, Michael 2 2011 Reconstruction of a space-time-dependent source in subdiffusion models via a perturbation approach. Zbl 1470.35433Jin, Bangti; Kian, Yavar; Zhou, Zhi 2 2021 Method of fundamental solutions for a three-dimensional inverse problem in linear elasticity. Zbl 1148.74328Wang, Jun; Sun, Fangyu; Jin, Bangti 1 2006 A parameter choice rule for Tikhonov regularization based on predictive risk. Zbl 07211714Benvenuto, Federico; Jin, Bangti 1 2020 Linearized reconstruction for diffuse optical spectroscopic imaging. Zbl 1425.94006Ammari, Habib; Jin, Bangti; Zhang, Wenlong 1 2019 A unified primal dual active set algorithm for nonconvex sparse recovery. Zbl 07368234Huang, Jian; Jiao, Yuling; Jin, Bangti; Liu, Jin; Lu, Xiliang; Yang, Can 4 2021 Reconstruction of a space-time-dependent source in subdiffusion models via a perturbation approach. Zbl 1470.35433Jin, Bangti; Kian, Yavar; Zhou, Zhi 2 2021 An inverse potential problem for subdiffusion: stability and reconstruction. Zbl 1458.35477Jin, Bangti; Zhou, Zhi 1 2021 Numerical estimation of a diffusion coefficient in subdiffusion. Zbl 1468.65127Jin, Bangti; Zhou, Zhi 1 2021 Fractional differential equations. An approach via fractional derivatives. Zbl 1466.34002Jin, Bangti 1 2021 Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. Zbl 1464.65065Jin, Bangti; Li, Buyang; Zhou, Zhi 7 2020 Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Zbl 1446.65069Jin, Bangti; Li, Buyang; Zhou, Zhi 5 2020 On the convergence of stochastic gradient descent for nonlinear ill-posed problems. Zbl 07202491Jin, Bangti; Zhou, Zehui; Zou, Jun 4 2020 Incomplete iterative solution of subdiffusion. Zbl 1453.65326Jin, Bangti; Zhou, Zhi 2 2020 A parameter choice rule for Tikhonov regularization based on predictive risk. Zbl 07211714Benvenuto, Federico; Jin, Bangti 1 2020 Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity. Zbl 1439.35564Jin, Bangti; Xu, Yifeng 1 2020 On the discrepancy principle for stochastic gradient descent. Zbl 07252746Jahn, Tim; Jin, Bangti 1 2020 Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation. Zbl 1467.35318Duong, Manh Hong; Jin, Bangti 1 2020 Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 40 2019 Subdiffusion with a time-dependent coefficient: analysis and numerical solution. Zbl 1417.65205Jin, Bangti; Li, Buyang; Zhou, Zhi 33 2019 Numerical approximation of stochastic time-fractional diffusion. Zbl 1447.60126Yan, Yubin; Zhou, Zhi; Jin, Bangti 8 2019 On the regularizing property of stochastic gradient descent. Zbl 07000893Jin, Bangti; Lu, Xiliang 5 2019 Acousto-electric tomography with total variation regularization. Zbl 1410.65429Adesokan, Bolaji James; Jensen, Bjørn; Jin, Bangti; Knudsen, Kim 2 2019 Linearized reconstruction for diffuse optical spectroscopic imaging. Zbl 1425.94006Ammari, Habib; Jin, Bangti; Zhang, Wenlong 1 2019 Expectation propagation for Poisson data. Zbl 1425.62050Zhang, Chen; Arridge, Simon; Jin, Bangti 1 2019 Numerical analysis of nonlinear subdiffusion equations. Zbl 1422.65228Jin, Bangti; Li, Buyang; Zhou, Zhi 78 2018 An analysis of the Crank-Nicolson method for subdiffusion. Zbl 06983822Jin, Bangti; Li, Buyang; Zhou, Zhi 31 2018 Discrete maximal regularity of time-stepping schemes for fractional evolution equations. Zbl 1421.65025Jin, Bangti; Li, Buyang; Zhou, Zhi 30 2018 Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 7 2018 On the degree of ill-posedness of multi-dimensional magnetic particle imaging. Zbl 1397.82067Kluth, Tobias; Jin, Bangti; Li, Guanglian 3 2018 Variational Gaussian approximation for Poisson data. Zbl 1433.62043Arridge, Simon R.; Ito, Kazufumi; Jin, Bangti; Zhang, Chen 2 2018 Correction of high-order BDF convolution quadrature for fractional evolution equations. Zbl 1379.65078Jin, Bangti; Li, Buyang; Zhou, Zhi 54 2017 An analysis of Galerkin proper orthogonal decomposition for subdiffusion. Zbl 1365.65224Jin, Bangti; Zhou, Zhi 16 2017 Preasymptotic convergence of randomized Kaczmarz method. Zbl 1382.65087Jiao, Yuling; Jin, Bangti; Lu, Xiliang 11 2017 On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi 9 2017 Sparsity regularization in inverse problems. Zbl 1369.00102 9 2017 A convergent adaptive finite element method for electrical impedance tomography. Zbl 1433.78023Jin, Bangti; Xu, Yifeng; Zou, Jun 6 2017 Group sparse recovery via the \(\ell^0(\ell^2)\) penalty: theory and algorithm. Zbl 1414.94280Jiao, Yuling; Jin, Bangti; Lu, Xiliang 5 2017 Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030 1 2017 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 122 2016 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 116 2016 A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 33 2016 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 32 2016 A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi 18 2016 The linearized inverse problem in multifrequency electrical impedance tomography. Zbl 1381.94006Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong 12 2016 On a Legendre tau method for fractional boundary value problems with a Caputo derivative. Zbl 1338.65196Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 5 2016 The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi 130 2015 A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027Jin, Bangti; Rundell, William 106 2015 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 96 2015 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 65 2015 An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 45 2015 Inverse problems. Tikhonov theory and algorithms. Zbl 1306.65210Ito, Kazufumi; Jin, Bangti 41 2015 A primal dual active set with continuation algorithm for the \(\ell^0\)-regularized optimization problem. Zbl 1329.49042Jiao, Yuling; Jin, Bangti; Lu, Xiliang 21 2015 A finite element method with singularity reconstruction for fractional boundary value problems. Zbl 1332.65115Jin, Bangti; Zhou, Zhi 18 2015 Multilevel Markov chain Monte Carlo method for high-contrast single-phase flow problems. Zbl 1373.76084Efendiev, Yalchin; Jin, Bangti; Michael, Presho; Tan, Xiaosi 9 2015 On the sectorial property of the Caputo derivative operator. Zbl 1371.34124Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 4 2015 Numerical identification of a sparse Robin coefficient. Zbl 1308.65191Sun, Zhiyuan; Jiao, Yuling; Jin, Bangti; Lu, Xiliang 4 2015 A variational Bayesian approach for inverse problems with skew-\(t\) error distributions. Zbl 1349.62079Guha, Nilabja; Wu, Xiaoqing; Efendiev, Yalchin; Jin, Bangti; Mallick, Bani K. 3 2015 Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 59 2014 Expectation propagation for nonlinear inverse problems – with an application to electrical impedance tomography. Zbl 1349.78046Gehre, Matthias; Jin, Bangti 8 2014 An analysis of finite element approximation in electrical impedance tomography. Zbl 1288.78033Gehre, Matthias; Jin, Bangti; Lu, Xiliang 5 2014 Multi-parameter Tikhonov regularization – an augmented approach. Zbl 1309.65065Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 4 2014 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 151 2013 A direct sampling method for inverse electromagnetic medium scattering. Zbl 1290.78008Ito, Kazufumi; Jin, Bangti; Zou, Jun 34 2013 Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2013 Gradient-based estimation of Manning’s friction coefficient from noisy data. Zbl 1252.76060Calo, Victor M.; Collier, Nathan; Gehre, Matthias; Jin, Bangti; Radwan, Hany; Santillana, Mauricio 2 2013 An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203Jin, Bangti; Rundell, William 73 2012 A direct sampling method to an inverse medium scattering problem. Zbl 1241.78025Ito, Kazufumi; Jin, Bangti; Zou, Jun 54 2012 Sparsity regularization for parameter identification problems. Zbl 1280.47063Jin, Bangti; Maass, Peter 38 2012 A reconstruction algorithm for electrical impedance tomography based on sparsity regularization. Zbl 1242.78016Jin, Bangti; Khan, Taufiquar; Maass, Peter 26 2012 Numerical identification of a Robin coefficient in parabolic problems. Zbl 1255.65170Jin, Bangti; Lu, Xiliang 22 2012 An analysis of electrical impedance tomography with applications to Tikhonov regularization. Zbl 1259.49056Jin, Bangti; Maass, Peter 21 2012 A semismooth Newton method for nonlinear parameter identification problems with impulsive noise. Zbl 1250.65134Clason, Christian; Jin, Bangti 19 2012 Sparsity reconstruction in electrical impedance tomography: an experimental evaluation. Zbl 1251.78008Gehre, Matthias; Kluth, Tobias; Lipponen, Antti; Jin, Bangti; Seppänen, Aku; Kaipio, Jari P.; Maass, Peter 15 2012 An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134Jin, Bangti; Rundell, William 13 2012 A variational Bayesian method to inverse problems with impulsive noise. Zbl 1243.65115Jin, Bangti 11 2012 Iterative parameter choice by discrepancy principle. Zbl 1261.65052Jin, Bangti; Zhao, Yubo; Zou, Jun 4 2012 Multi-parameter Tikhonov regularization. Zbl 1285.65032Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 14 2011 A regularization parameter for nonsmooth Tikhonov regularization. Zbl 1235.65054Ito, Kazufumi; Jin, Bangti; Takeuchi, Tomoya 10 2011 A new approach to nonlinear constrained Tikhonov regularization. Zbl 1243.65063Ito, Kazufumi; Jin, Bangti 8 2011 Image force and stability of a screw dislocation inside a coated cylindrical inhomogeneity with interface stresses. Zbl 1284.74005Feng, H.; Fang, Q. H.; Liu, Y. W.; Jin, B. 6 2011 A new choice rule for regularization parameters in Tikhonov regularization. Zbl 1228.65082Ito, Kazufumi; Jin, Bangti; Zou, Jun 3 2011 Function spaces and optimal currents in impedance tomography. Zbl 1279.35109Jin, Bangti; Khan, Taufiquar; Maass, Peter; Pidcock, Michael 2 2011 Numerical estimation of the Robin coefficient in a stationary diffusion equation. Zbl 1203.65232Jin, Bangti; Zou, Jun 30 2010 A duality-based splitting method for \(\ell^1-TV\) image restoration with automatic regularization parameter choice. Zbl 1216.94009Clason, Christian; Jin, Bangti; Kunisch, Karl 24 2010 Heuristic parameter-choice rules for convex variational regularization based on error estimates. Zbl 1215.65100Jin, Bangti; Lorenz, Dirk A. 16 2010 A semismooth Newton method for \(\mathrm{L}^1\) data fitting with automatic choice of regularization parameters and noise calibration. Zbl 1190.65022Clason, Christian; Jin, Bangti; Kunisch, Karl 15 2010 A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique. Zbl 1244.65218Chen, W.; Fu, Z. J.; Jin, B. T. 15 2010 Hierarchical Bayesian inference for ill-posed problems via variational method. Zbl 1198.65189Jin, Bangti; Zou, Jun 14 2010 Shielding effect and emission condition of a screw dislocation near a blunt crack in elliptical inhomogeneity. Zbl 1258.74190Liu, Y. W.; Song, H. P.; Fang, Q. H.; Jin, B. 3 2010 Elastic-net regularization: error estimates and active set methods. Zbl 1188.49026Jin, Bangti; Lorenz, Dirk A.; Schiffler, Stefan 20 2009 Numerical estimation of piecewise constant Robin coefficient. Zbl 1197.65178Jin, Bangti; Zou, Jun 12 2009 Effect of interface stresses on the image force and stability of an edge dislocation inside a nanoscale cylindrical inclusion. Zbl 1236.74230Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H. 10 2009 Interaction between a dislocation and a core-shell nanowire with interface effects. Zbl 1236.74231Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H. 9 2009 Augmented Tikhonov regularization. Zbl 1163.65020Jin, Bangti; Zou, Jun 9 2009 Interaction between screw dislocations and inclusions with imperfect interfaces in fiber-reinforced composites. Zbl 1168.74018Fang, Q. H.; Jin, B.; Liu, Y.; Liu, Y. W. 7 2009 A piezoelectric screw dislocation in a three-phase composite cylinder model with an imperfect interface. Zbl 1213.74129Fang, Q. H.; Liu, Y. W.; Jin, B.; Wen, P. H. 4 2009 The plane wave method for inverse problems associated with Helmholtz-type equations. Zbl 1244.65163Jin, Bangti; Marin, Liviu 19 2008 Fast Bayesian approach for parameter estimation. Zbl 1195.65199Jin, Bangti 11 2008 A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction. Zbl 1195.80039Jin, Bangti; Zou, Jun 10 2008 Inversion of Robin coefficient by a spectral stochastic finite element approach. Zbl 1141.65005Jin, Bangti; Zou, Jun 9 2008 Conditional source-term estimation as a method for chemical closure in premixed turbulent reacting flow. Zbl 1257.76157Jin, B.; Grout, R.; Bushe, W. K. 9 2008 Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface. Zbl 1161.74377Jin, B.; Fang, Q. H. 8 2008 The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction. Zbl 1194.80101Jin, Bangti; Marin, Liviu 44 2007 Conjugate gradient method for the Robin inverse problem associated with the Laplace equation. Zbl 1194.65129Jin, Bangti 29 2007 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) Citations by Year