Journal of Inverse and Ill-Posed Problems

Article	Citations
Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data	13
Ill-posed problems and the conjugate gradient method: Optimal convergence rates in the presence of discretization and modelling errors	9
Fast multilevel iteration methods for solving nonlinear ill-posed problems	8
Reverse time migration for imaging periodic obstacles with electromagnetic plane wave	8
Determination of lower order perturbations of a polyharmonic operator in two dimensions	8
Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source	6
On unique determination of an unknown spatial load in damped Euler–Bernoulli beam equation from final time output	5
On mixed and transverse ray transforms on orientable surfaces	5
A range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg–Marquardt–Kaczmarz method for solving systems of non-linear ill-posed equations: Application to EIT-CEM with real data	5
Frontmatter	4
Hadamard’s example and solvability of the mixed Cauchy problem for the multidimensional Gellerstedt equation	4
Scalar and vector tomography for the weighted transport equation with application to helioseismology	4
Inverse parabolic problems of determining functions with one spatial-component independence by Carleman estimate	4
A dynamical method for optimal control of the obstacle problem	4
Analytical solution of Stefan-type problems	4
On the uniqueness theorems for transmission problems related to models of elasticity, diffusion and electrocardiography	4
Frontmatter	3
Stability estimate for scalar image velocimetry	3
Approximate Lipschitz stability for phaseless inverse scattering with background information	3
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform	3
A projected homotopy perturbation method for nonlinear inverse problems in Banach spaces	3
On the uniqueness of solutions in inverse problems for Burgers’ equation under a transverse diffusion	3
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	3
Numerical study of the stock market crises based on mean field games approach	3
Inverse problems for equations of a mixed parabolic-hyperbolic type with power degeneration in finding the right-hand parts that depend on time	3

Numerical solutions to inverse nodal problems for the Sturm–Liouville operator and their applications	3
Determination of unknown shear force in transverse dynamic force microscopy from measured final data	3
Optimization method for a multi-parameters identification problem in degenerate parabolic equations	2
Frontmatter	2
On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method	2
Stability estimates for an inverse problem of determining time-dependent coefficients in a system of parabolic equations	2
Robust signal recovery via ℓ1–2/ℓ????minimization with partially known support	2
Revisiting linear machine learning through the perspective of inverse problems	2
An inverse problem for Moore–Gibson–Thompson equation arising in high intensity ultrasound	2
Block Toeplitz Inner-Bordering method for the Gelfand–Levitan–Marchenko equations associated with the Zakharov–Shabat system	2
Direct and inverse problems for time-fractional heat equation generated by Dunkl operator	2
Accelerating regional weather forecasting by super-resolution and data-driven methods	2
Secant-type iteration for nonlinear ill-posed equations in Banach space	2
Uniqueness and stability analysis of final data inverse source problems for evolution equations	2
Right and left inverse scattering problems formulations for the Zakharov–Shabat system	2
Convergence analysis of iteratively regularized Gauss–Newton method with frozen derivative in Banach spaces	2
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion	1
Tensor tomography of the residual stress field in graded-index YAG’s single crystals	1
A discretizing Tikhonov regularization method via modified parameter choice rules	1
Reconstruction of polytopes from the modulus of the Fourier transform with small wave length	1
Unique continuation property of solutions to general second order elliptic systems	1
Inverse coefficient problems and fast automatic differentiation	1
On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem	1
A weakly inhomogeneous vibrating membrane and the solotone effect in two dimensions	1
Frontmatter	1
Error estimates for simplified Levenberg–Marquardt method for nonlinear ill-posed operator equations in Hilbert spaces	1
Inverse problems for the eigenparameter Dirac operator with complex weight	1
C-regularized solutions of ill-posed problems defined by strong strip-type operators	1
Regularization of the backward stochastic heat conduction problem	1
Frontmatter	1
Artificial intelligence for COVID-19 spread modeling	1
Multi-coil MRI by analytic continuation	1
On stable parameter estimation and short-term forecasting with quantified uncertainty with application to COVID-19 transmission	1
The inverse scattering problem for an inhomogeneous two-layered cavity	1
A reduced basis Landweber method for the identification of piecewise constant Robin coefficient in an elliptic equation	1
Modified ridge estimator in the Bell regression model	1
Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate	1
Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity	1
Multi-scale ground penetrating radar full waveform inversion with hybrid Tikhonov and total-variation regularization for different geometric structure	1
Optimal experiment design for inverse problems via selective normalization and zero-shift times	1
Inverse scattering for three-dimensional quasi-linear biharmonic operator	1
Frontmatter	1
Parameter identification for portfolio optimization with a slow stochastic factor	1
On dynamical input reconstruction in a distributed second order equation	1
Uniqueness of the potential in a time-fractional diffusion equation	1
On the solvability of an inverse problem for the Burgers equation with an integral overdetermination condition in a nonlinearly degenerating domain	1
Inverse scattering transform in two spatial dimensions for the N-wave interaction problem with a dispersive term	1
Calculation of the gradient of Tikhonov’s functional in solving coefficient inverse problems for linear partial differential equations	1
Adaptive Runge–Kutta regularization for a Cauchy problem of a modified Helmholtz equation	1
Determining both leading coefficient and source in a nonlocal elliptic equation	1

On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement II. The non-radial case	1
On recovering Sturm–Liouville operators with two delays	1
On the mean field games system with lateral Cauchy data via Carleman estimates	1
Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation	1
Identification of an unknown flexural rigidity of a cantilever Euler–Bernoulli beam from measured boundary deflection	1
Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates	0
Inverse problem for Sturm–Liouville operator with complex-valued weight and eigenparameter dependent boundary conditions	0
A comparative study of variational autoencoders, normalizing flows, and score-based diffusion models for electrical impedance tomography	0
Interior reconstruction in tomography via prior support constrained compressed sensing	0
The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation	0
Robin–Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain	0
Fast iterative regularization by reusing data	0
The overdetermined Cauchy problem for the hyperbolic Gellerstedt equation	0
The high-order estimate of the entire function associated with inverse Sturm–Liouville problems	0
A new regularization for time-fractional backward heat conduction problem	0
Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges	0
Foreword to the Special Issue “Inverse Problems and Nonlinear Phenomena”	0
Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems	0
On an iterative fractional Tikhonov–Landweber method for ill-posed problems	0
Simplified REGINN-IT method in Banach spaces for nonlinear ill-posed operator equations	0
Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation	0
Reconstruction of modified transmission eigenvalues using Cauchy data	0
Acquiring elastic properties of thin composite structure from vibrational testing data	0
Optimal convergence rates for inexact Newton regularization with CG as inner iteration	0
Approximate recovery of the Sturm–Liouville problem on a half-line from the Weyl function	0
The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method	0
Extract the information via multiple repeated observations under randomly distributed noise	0
Inverse problems for finite Jacobi matrices and Krein–Stieltjes strings	0
Fixed angle inverse scattering in the presence of a Riemannian metric	0
An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions	0
Integrating the probe and singular sources methods	0
Frontmatter	0
M. M. Lavrentiev-type systems and reconstructing parameters of viscoelastic media	0
The game model with multi-task for image denoising and edge extraction	0
On an inverse problem with high-order overdetermination conditions	0
An a priori method for estimating the informativeness of the configuration of sensor placement when solving inverse problems of remote sensing	0
On determining the fractional exponent of the subdiffusion equation	0
Curious ill-posedness phenomena in the composition of non-compact linear operators in Hilbert spaces	0
Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models	0
Frontmatter	0
Diffusion tensor regularization with metric double integrals	0
Stability for the electromagnetic inverse source problem in inhomogeneous media	0
Alternative fan-beam backprojection and adjoint operators	0
Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set	0
Recovery analysis for the ℓ p /ℓ1 minimization problem	0
Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues	0
Markov chain Monte Carlo methods applied to the stochastic inversion of 1D viscoelastic parameters	0
Imaging of mass distributions from partial domain measurement	0
Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations	0
A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling	0
Weighted sparsity regularization for source identification for elliptic PDEs	0
Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model	0
Three-dimensional transient electromagnetic inversion with optimal transport	0
On an inverse problem for a linearized system of Navier–Stokes equations with a final overdetermination condition	0
High-order block RIP for nonconvex block-sparse compressed sensing	0
Local convergence of the error-reduction algorithm for real-valued objects	0
Frontmatter	0
Inverse problem for the Atangana–Baleanu fractional differential equation	0
An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points	0
Extracting discontinuity using the probe and enclosure methods	0
Modified linear sampling method for inverse scattering by a partially coated dielectric	0
Frontmatter	0
Simultaneous determination of mass density and flexural rigidity of the damped Euler–Bernoulli beam from two boundary measured outputs	0
About the supports in the Fredholm convolution	0
Inpainting of regular textures using ridge functions	0
Frontmatter	0
The mean field games system: Carleman estimates, Lipschitz stability and uniqueness	0
Research biography of a distinguished expert in the field of inverse problems: Professor Eric Todd Quinto	0
Detection of velocity and attenuation inclusions in the medical ultrasound tomography	0
Method for solving inverse spectral problems on quantum star graphs	0
A primal-dual approach for the Robin inverse problem in a nonlinear elliptic equation: The case of the ????1 − ????2 cost functional	0
Frontmatter	0
Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces	0
Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network	0
Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition	0
An extrapolation method for improving the quality of tomographic images using multiple short-pulse irradiations	0
Generalized Abel equations and applications to translation invariant Radon transforms	0
Certain inverse uniqueness from the quotients of scattering coefficients	0
Research biography of a distinguished expert in the field of inverse problems: Professor Michael Victor Klibanov	0
A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation	0

A rotation total variation regularization for full waveform inversion	0
On the recovery of internal source for an elliptic system by neural network approximation	0
Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces	0
Extract the information from big data with randomly distributed noise	0
Ensemble Kalman inversion based on level set method for inverse elastic scattering problem	0
Inverse problem for integro-differential Kelvin–Voigt equations	0
Regularization operators versus regularization strategies	0
Parameter estimation for a chaotic dynamical system with partial observations	0
CT image restoration method via total variation and L 0 smoothing filter	0
Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions	0
Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method	0
Frontmatter	0
Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients	0
A modified iteratively regularized Landweber iteration method: Hölder stability and convergence rates	0
A projected gradient method for nonlinear inverse problems with ????ℓ1 − ????ℓ2 sparsity regularization	0
Determination of the time-dependent effective ion collision frequency from an integral observation	0
Reconstruction of acoustic sources from multi-frequency phaseless far-field data	0
Stability estimate and the Tikhonov regularization method for the Kuramoto–Sivashinsky equation backward in time	0
Stability properties for a class of inverse problems	0
Multichannel impedance inversion in the frequency domain via anisotropic total variation with overlapping group sparsity regularization	0
The inverse problem of heat conduction in the case of non-uniqueness: A functional identification approach	0
Duality of fractional derivatives: On a hybrid and non-hybrid inclusion problem	0
A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave	0
Application of locally regularized extremal shift to the problem of realization of a prescribed motion	0
An inverse problem of finding a time-dependent parameter in a bilinear heat equation	0
Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory	0
Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation	0
Legendre spectral projection methods for Fredholm integral equations of first kind	0
On finding a penetrable obstacle using a single electromagnetic wave in the time domain	0
Inverse nodal problem for singular Sturm–Liouville operator on a star graph	0
Stochastic data-driven Bouligand–Landweber method for solving non-smooth inverse problems	0
Complex turbulent exchange coefficient in Akerblom–Ekman model	0
The problem of determining multiple coefficients in an ultrahyperbolic equation	0
Boundary determination for hybrid imaging from a single measurement	0
Inverse problems of identifying the unknown transverse shear force in the Euler–Bernoulli beam with Kelvin–Voigt damping	0
A physics-inspired neural network for short-wave radiation parameterization	0
Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate	0
Direct numerical algorithm for calculating the heat flux at an inaccessible boundary	0
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay	0
Reconstruction of local volatility surface from American options	0
Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium?	0
Well-posedness and Tikhonov regularization of an inverse source problem for a parabolic equation with an integral constraint	0
Determination of an unknown coefficient in the Korteweg–de Vries equation	0
The factorization method for a penetrable cavity scattering with interior near-field measurements	0
Inverse spectral problem for differential pencils with a frozen argument	0
Correctness and regularization of stochastic problems	0
Alternating minimization methods for strongly convex optimization	0
Perturbation analysis of ????1‒2 method for robust sparse recovery	0
A layer potential approach to inverse problems in brain imaging	0
Blow-up of solutions to some classes of ill-posed operator equations and a growth quantification result	0
Inverse problem for Dirac operators with two constant delays	0
On the inverse gravimetry problem with minimal data	0
Nonlinear system identification via sparse Bayesian regression based on collaborative neurodynamic optimization	0
The linear sampling method for penetrable cylinder with inclusions for obliquely incident polarized electromagnetic waves	0
Agent-based mathematical model of COVID-19 spread in Novosibirsk region: Identifiability, optimization and forecasting	0
A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method	0
Tow-parameter quasi-boundary value method for a backward abstract time-degenerate fractional parabolic problem	0
Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference	0
Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant	0
On theX-ray transform of planar symmetric tensors	0
A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube	0
The group behavior analysis of the high-frequency traders based on Mean Field Games approach	0
Discrete dynamical systems: Inverse problems and related topics	0