| Publication | Date of Publication | Type |
|---|
| Numerical recovery of a time-dependent potential in subdiffusion * | 2024-01-17 | Paper |
| Recovery of a distributed order fractional derivative in an unknown medium | 2023-11-30 | Paper |
| Learning Coarse Propagators in Parareal Algorithm | 2023-11-26 | Paper |
| Recovery of multiple parameters in subdiffusion from one lateral boundary measurement | 2023-11-24 | Paper |
| Stochastic EM methods with variance reduction for penalised PET reconstructions | 2023-11-15 | Paper |
| Electrical impedance tomography with deep Calderón method | 2023-10-10 | Paper |
| Solving Elliptic Problems with Singular Sources Using Singularity Splitting Deep Ritz Method | 2023-09-08 | Paper |
| On the Approximation of Bi-Lipschitz Maps by Invertible Neural Networks | 2023-08-18 | Paper |
| Recovery of a space-time-dependent diffusion coefficient in subdiffusion: stability, approximation and error analysis | 2023-08-14 | Paper |
| Inverse Problems for Subdiffusion from Observation at an Unknown Terminal Time | 2023-08-08 | Paper |
| On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces | 2023-07-21 | Paper |
| Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural Networks | 2023-03-29 | Paper |
| Hybrid Neural-Network FEM Approximation of Diffusion Coefficient in Elliptic and Parabolic Problems | 2023-02-21 | Paper |
| Convergence rate analysis of Galerkin approximation of inverse potential problem | 2022-12-13 | Paper |
| Unsupervised knowledge-transfer for learned image reconstruction* | 2022-09-14 | Paper |
| Imaging Anisotropic Conductivities from Current Densities | 2022-08-04 | Paper |
| Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium | 2022-06-30 | Paper |
| Imaging conductivity from current density magnitude using neural networks* | 2022-06-17 | Paper |
| An analysis of stochastic variance reduced gradient for linear inverse problems * | 2022-01-11 | Paper |
| Generalized Multiscale Inversion for Heterogeneous Problems | 2021-10-29 | Paper |
| Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source * | 2021-09-09 | Paper |
| Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach | 2021-08-12 | Paper |
| A unified primal dual active set algorithm for nonconvex sparse recovery | 2021-07-06 | Paper |
| Fractional Differential Equations | 2021-06-15 | Paper |
| Recovering Multiple Fractional Orders in Time-Fractional Diffusion in an Unknown Medium | 2021-06-04 | Paper |
| Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation | 2021-05-03 | Paper |
| Numerical Estimation of a Diffusion Coefficient in Subdiffusion | 2021-04-16 | Paper |
| Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint | 2021-03-31 | Paper |
| An inverse potential problem for subdiffusion: stability and reconstruction* | 2021-02-15 | Paper |
| Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems | 2021-01-28 | Paper |
| On the Saturation Phenomenon of Stochastic Gradient Descent for Linear Inverse Problems | 2020-10-21 | Paper |
| On the discrepancy principle for stochastic gradient descent | 2020-09-29 | Paper |
| Regularized Linear Inversion with Randomized Singular Value Decomposition | 2020-08-26 | Paper |
| Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping | 2020-08-25 | Paper |
| Incomplete iterative solution of subdiffusion | 2020-07-07 | Paper |
| A parameter choice rule for Tikhonov regularization based on predictive risk | 2020-06-15 | Paper |
| On the Convergence of Stochastic Gradient Descent for Nonlinear Ill-Posed Problems | 2020-05-20 | Paper |
| On the Discrepancy Principle for Stochastic Gradient Descent | 2020-04-30 | Paper |
| Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview | 2020-04-09 | Paper |
| Multigrid methods for time-fractional evolution equations: a numerical study | 2020-02-24 | Paper |
| Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity | 2020-01-20 | Paper |
| L1 data fitting for robust reconstruction in magnetic particle imaging: quantitative evaluation on Open MPI dataset | 2020-01-16 | Paper |
| A Parameter Choice Rule for Tikhonov Regularization Based on Predictive Risk | 2019-12-30 | Paper |
| Linearized reconstruction for diffuse optical spectroscopic imaging | 2019-11-19 | Paper |
| Numerical approximation of stochastic time-fractional diffusion | 2019-11-06 | Paper |
| Expectation propagation for Poisson data | 2019-08-08 | Paper |
| Subdiffusion with a time-dependent coefficient: Analysis and numerical solution | 2019-06-14 | Paper |
| Acousto-electric tomography with total variation regularization | 2019-02-22 | Paper |
| Group Sparse Recovery via the $\ell ^0(\ell ^2)$ Penalty: Theory and Algorithm | 2019-02-08 | Paper |
| Numerical Reconstruction in Magnetic Particle Imaging | 2019-01-29 | Paper |
| On the regularizing property of stochastic gradient descent | 2019-01-14 | Paper |
| An analysis of the Crank–Nicolson method for subdiffusion | 2018-11-23 | Paper |
| A convergent adaptive finite element method for electrical impedance tomography | 2018-09-26 | Paper |
| On the degree of ill-posedness of multi-dimensional magnetic particle imaging | 2018-08-24 | Paper |
| Variational Gaussian approximation for Poisson data | 2018-03-14 | Paper |
| Space-time Petrov-Galerkin FEM for fractional diffusion problems | 2018-02-15 | Paper |
| Discrete maximal regularity of time-stepping schemes for fractional evolution equations | 2018-01-26 | Paper |
| Numerical Analysis of Nonlinear Subdiffusion Equations | 2018-01-17 | Paper |
| Preasymptotic convergence of randomized Kaczmarz method | 2018-01-16 | Paper |
| Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations | 2018-01-05 | Paper |
| Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems | 2017-10-27 | Paper |
| On nonnegativity preservation in finite element methods for subdiffusion equations | 2017-05-10 | Paper |
| Iterative Soft/Hard Thresholding with Homotopy Continuation for Sparse Recovery | 2017-04-10 | Paper |
| An analysis of galerkin proper orthogonal decomposition for subdiffusion | 2017-02-21 | Paper |
| The Galerkin finite element method for a multi-term time-fractional diffusion equation | 2016-12-20 | Paper |
| The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography | 2016-12-19 | Paper |
| Expectation propagation for nonlinear inverse problems -- with an application to electrical impedance tomography | 2016-12-05 | Paper |
| A variational Bayesian approach for inverse problems with skew-\(t\) error distributions | 2016-12-05 | Paper |
| Lagrange optimality system for a class of nonsmooth convex optimization | 2016-05-31 | Paper |
| On a Legendre tau method for fractional boundary value problems with a Caputo derivative | 2016-05-11 | Paper |
| Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data | 2016-03-23 | Paper |
| A Petrov--Galerkin Finite Element Method for Fractional Convection-Diffusion Equations | 2016-03-16 | Paper |
| An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data | 2016-03-11 | Paper |
| Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data | 2016-01-27 | Paper |
| A primal dual active set with continuation algorithm for the \(\ell^0\)-regularized optimization problem | 2015-11-10 | Paper |
| A Finite Element Method with Singularity Reconstruction for Fractional Boundary Value Problems | 2015-11-03 | Paper |
| A simple finite element method for boundary value problems with a Riemann-Liouville derivative | 2015-10-19 | Paper |
| An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid | 2015-09-14 | Paper |
| On the sectorial property of the Caputo derivative operator | 2015-09-01 | Paper |
| Variational formulation of problems involving fractional order differential operators | 2015-08-13 | Paper |
| Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion | 2015-05-11 | Paper |
| A tutorial on inverse problems for anomalous diffusion processes | 2015-04-01 | Paper |
| Numerical identification of a sparse Robin coefficient | 2015-03-23 | Paper |
| Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation | 2015-02-19 | Paper |
| Multi-parameter Tikhonov regularization -- an augmented approach | 2014-09-12 | Paper |
| Inverse Problems | 2014-08-08 | Paper |
| An analysis of finite element approximation in electrical impedance tomography | 2014-05-26 | Paper |
| A direct sampling method for inverse electromagnetic medium scattering | 2014-02-18 | Paper |
| Function spaces and optimal currents in impedance tomography | 2014-01-30 | Paper |
| Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H − s , 0 ≤ s ≤ 1 | 2013-11-06 | Paper |
| Multi-parameter Tikhonov regularization | 2013-07-26 | Paper |
| A Finite Element Method for the Fractional Sturm-Liouville Problem | 2013-07-18 | Paper |
| Sparsity regularization for parameter identification problems | 2013-05-16 | Paper |
| Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations | 2013-05-06 | Paper |
| An analysis of electrical impedance tomography with applications to Tikhonov regularization | 2013-03-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4898936 | 2013-01-03 | Paper |
| Iterative parameter choice by discrepancy principle | 2012-11-12 | Paper |
| Gradient-based estimation of Manning's friction coefficient from noisy data | 2012-11-09 | Paper |
| A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise | 2012-09-14 | Paper |
| An inverse problem for a one-dimensional time-fractional diffusion problem | 2012-08-24 | Paper |
| An inverse Sturm-Liouville problem with a fractional derivative | 2012-08-19 | Paper |
| The plane wave method for inverse problems associated with Helmholtz-type equations | 2012-08-07 | Paper |
| A reconstruction algorithm for electrical impedance tomography based on sparsity regularization | 2012-07-02 | Paper |
| Numerical identification of a Robin coefficient in parabolic problems | 2012-06-29 | Paper |
| A variational Bayesian method to inverse problems with impulsive noise | 2012-05-30 | Paper |
| A Two-stage Method for Inverse Medium Scattering | 2012-05-18 | Paper |
| Sparsity reconstruction in electrical impedance tomography: an experimental evaluation | 2012-04-24 | Paper |
| A direct sampling method to an inverse medium scattering problem | 2012-03-19 | Paper |
| A Regularization Parameter for Nonsmooth Tikhonov Regularization | 2011-12-07 | Paper |
| A new approach to nonlinear constrained Tikhonov regularization | 2011-11-10 | Paper |
| A new choice rule for regularization parameters in Tikhonov regularization | 2011-10-21 | Paper |
| A Duality-Based Splitting Method for $\ell^1$-$TV$ Image Restoration with Automatic Regularization Parameter Choice | 2011-04-19 | Paper |
| Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates | 2011-04-11 | Paper |
| Fast Bayesian approach for parameter estimation | 2010-09-17 | Paper |
| A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction | 2010-09-17 | Paper |
| Hierarchical Bayesian inference for ill-posed problems via variational method | 2010-09-15 | Paper |
| The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction | 2010-09-10 | Paper |
| Conjugate gradient method for the Robin inverse problem associated with the Laplace equation | 2010-09-10 | Paper |
| Numerical estimation of the Robin coefficient in a stationary diffusion equation | 2010-08-16 | Paper |
| Numerical Estimation of Piecewise Constant Robin Coefficient | 2010-06-10 | Paper |
| A Semismooth Newton Method for $\mathrm{L}^1$ Data Fitting with Automatic Choice of Regularization Parameters and Noise Calibration | 2010-06-01 | Paper |
| Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation | 2010-03-16 | Paper |
| Elastic-net regularization: error estimates and active set methods | 2009-12-18 | Paper |
| Augmented Tikhonov regularization | 2009-03-04 | Paper |
| Inversion of Robin coefficient by a spectral stochastic finite element approach | 2008-03-28 | Paper |
| A meshless method for some inverse problems associated with the Helmholtz equation | 2007-09-20 | Paper |
| The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media | 2007-05-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3415418 | 2007-01-19 | Paper |
| Boundary knot method based on geodesic distance for anisotropic problems | 2006-06-30 | Paper |
| Boundary knot method for some inverse problems associated with the Helmholtz equation | 2006-02-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5699753 | 2005-10-26 | Paper |