Bangti Jin
Orcid: 0000-0002-3775-9155
According to our database1,
Bangti Jin
authored at least 122 papers
between 2006 and 2025.
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Bibliography
2025
Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates.
CoRR, August, 2025
Numerical Analysis of Unsupervised Learning Approaches for Parameter Identification in PDEs.
CoRR, August, 2025
Adv. Comput. Math., August, 2025
Simultaneous Identification of Coefficients and Source in a Subdiffusion Equation from One Passive Measurement.
CoRR, June, 2025
Numerical Approximation and Analysis of the Inverse Robin Problem Using the Kohn-Vogelius Method.
CoRR, June, 2025
Steerable Conditional Diffusion for Out-of-Distribution Adaptation in Medical Image Reconstruction.
IEEE Trans. Medical Imaging, May, 2025
Deep asymptotic expansion method for solving singularly perturbed time-dependent reaction-advection-diffusion equations.
CoRR, May, 2025
CoRR, May, 2025
Convergence Analysis of an Adaptive Nonconforming FEM for Phase-Field Dependent Topology Optimization in Stokes Flow.
CoRR, May, 2025
On the Crouzeix-Raviart Finite Element Approximation of Phase-Field Dependent Topology Optimization in Stokes Flow.
CoRR, May, 2025
Stable Determination and Reconstruction of a Quasilinear Term in an Elliptic Equation.
CoRR, April, 2025
Adaptive Approximations of Inclusions in a Semilinear Elliptic Problem Related to Cardiac Electrophysiology.
CoRR, April, 2025
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion.
SIAM J. Numer. Anal., 2025
Identification of a Spatially-Dependent Variable Order in One-Dimensional Subdiffusion.
SIAM J. Math. Anal., 2025
Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data.
SIAM J. Imaging Sci., 2025
SIAM J. Appl. Math., 2025
SIAM/ASA J. Uncertain. Quantification, 2025
Imaging anisotropic conductivity from internal measurements with mixed least-squares deep neural networks.
J. Comput. Phys., 2025
The discrete inverse conductivity problem solved by the weights of an interpretable neural network.
J. Comput. Phys., 2025
2024
Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks.
SIAM J. Imaging Sci., March, 2024
Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks.
SIAM J. Sci. Comput., 2024
SIAM J. Imaging Sci., 2024
Neural Networks, 2024
J. Comput. Phys., 2024
CoRR, 2024
Numerical Recovery of the Diffusion Coefficient in Diffusion Equations from Terminal Measurement.
CoRR, 2024
Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time.
CoRR, 2024
Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization.
Commun. Nonlinear Sci. Numer. Simul., 2024
2023
J. Comput. Phys., November, 2023
Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method.
SIAM J. Sci. Comput., August, 2023
SIAM J. Appl. Math., August, 2023
On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces.
SIAM J. Imaging Sci., June, 2023
Trans. Mach. Learn. Res., 2023
An Investigation of Stochastic Variance Reduction Algorithms for Relative Difference Penalized 3D PET Image Reconstruction.
IEEE Trans. Medical Imaging, 2023
CoRR, 2023
Electrical Impedance Tomography: A Fair Comparative Study on Deep Learning and Analytic-based Approaches.
CoRR, 2023
Steerable Conditional Diffusion for Out-of-Distribution Adaptation in Imaging Inverse Problems.
CoRR, 2023
CoRR, 2023
Recovery of Multiple Parameters in Subdiffusion from One Lateral Boundary Measurement.
CoRR, 2023
Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems.
CoRR, 2023
Proceedings of the Medical Imaging with Deep Learning, 2023
2022
SIAM J. Imaging Sci., June, 2022
Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium.
SIAM J. Appl. Math., June, 2022
IEEE Trans. Computational Imaging, 2022
CoRR, 2022
Bayesian Experimental Design for Computed Tomography with the Linearised Deep Image Prior.
CoRR, 2022
CoRR, 2022
CoRR, 2022
2021
Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems.
SIAM J. Numer. Anal., 2021
Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach.
SIAM J. Math. Anal., 2021
SIAM J. Control. Optim., 2021
On the Saturation Phenomenon of Stochastic Gradient Descent for Linear Inverse Problems.
SIAM/ASA J. Uncertain. Quantification, 2021
Recovery of a Space-Time Dependent Diffusion Coefficient in Subdiffusion: Stability, Approximation and Error Analysis.
CoRR, 2021
CoRR, 2021
CoRR, 2021
Recovering Multiple Fractional Orders in Time-Fractional Diffusion in an Unknown Medium.
CoRR, 2021
Recovering the Potential in One-Dimensional Time-Fractional Diffusion with Unknown Initial Condition and Source.
CoRR, 2021
2020
SIAM J. Optim., 2020
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping.
Numerische Mathematik, 2020
CoRR, 2020
CoRR, 2020
L1 data fitting for robust reconstruction in magnetic particle imaging: quantitative evaluation on Open MPI dataset.
CoRR, 2020
Quantifying Model Uncertainty in Inverse Problems via Bayesian Deep Gradient Descent.
Proceedings of the 25th International Conference on Pattern Recognition, 2020
2019
Math. Comput., 2019
CoRR, 2019
CoRR, 2019
CoRR, 2019
2018
Discrete maximal regularity of time-stepping schemes for fractional evolution equations.
Numerische Mathematik, 2018
Comput. Methods Appl. Math., 2018
2017
Group Sparse Recovery via the ℓ<sup>0</sup>(ℓ<sup>2</sup>) Penalty: Theory and Algorithm.
IEEE Trans. Signal Process., 2017
IEEE Signal Process. Lett., 2017
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations.
SIAM J. Sci. Comput., 2017
Math. Comput., 2017
Comput. Methods Appl. Math., 2017
2016
Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data.
SIAM J. Sci. Comput., 2016
A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations.
SIAM J. Numer. Anal., 2016
SIAM J. Imaging Sci., 2016
A simple finite element method for boundary value problems with a Riemann-Liouville derivative.
J. Comput. Appl. Math., 2016
2015
Numerische Mathematik, 2015
Variational formulation of problems involving fractional order differential operators.
Math. Comput., 2015
The Galerkin finite element method for a multi-term time-fractional diffusion equation.
J. Comput. Phys., 2015
A variational Bayesian approach for inverse problems with skew-t error distributions.
J. Comput. Phys., 2015
2014
Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation.
SIAM J. Numer. Anal., 2014
Expectation propagation for nonlinear inverse problems - with an application to electrical impedance tomography.
J. Comput. Phys., 2014
A Primal Dual Active Set with Continuation Algorithm for the \ell^0-Regularized Optimization Problem.
CoRR, 2014
2013
Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations.
SIAM J. Numer. Anal., 2013
J. Comput. Appl. Math., 2013
2012
A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise.
SIAM J. Imaging Sci., 2012
Math. Comput., 2012
J. Comput. Phys., 2012
J. Comput. Phys., 2012
Sparsity reconstruction in electrical impedance tomography: An experimental evaluation.
J. Comput. Appl. Math., 2012
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012
2011
SIAM J. Sci. Comput., 2011
2010
A Duality-Based Splitting Method for l<sup>1</sup>-TV Image Restoration with Automatic Regularization Parameter Choice.
SIAM J. Sci. Comput., 2010
Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates.
SIAM J. Numer. Anal., 2010
A Semismooth Newton Method for L<sup>1</sup> Data Fitting with Automatic Choice of Regularization Parameters and Noise Calibration.
SIAM J. Imaging Sci., 2010
J. Comput. Phys., 2010
2009
SIAM J. Control. Optim., 2009
2008
J. Comput. Phys., 2008
2006
J. Comput. Phys., 2006