Journal of Inverse and Ill-Posed Problems

Article	Citations
On local and global structures of transmission eigenfunctions and beyond	32
Decentralized and parallel primal and dual accelerated methods for stochastic convex programming problems	16
Numerical study of the stock market crises based on mean field games approach	13
Inverse extremum problem for a model of endovenous laser ablation	9
Uniqueness and stability analysis of final data inverse source problems for evolution equations	9
An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions	8
Inverse problem of Mueller polarimetry for metrological applications	7
Machine learning based data retrieval for inverse scattering problems with incomplete data	6
On the EIT problem for nonorientable surfaces	6
Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations	5
Inverse problem for the Atangana–Baleanu fractional differential equation	5
An inverse problem for Moore–Gibson–Thompson equation arising in high intensity ultrasound	5
Features of solving the direct and inverse scattering problems for two sets of monopole scatterers	5
Inverse problem with final overdetermination for time-fractional differential equation in a Banach space	5
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	4
Guided image filtering based ℓ0 gradient minimization for limited-angle CT image reconstruction	4
Method for solving inverse spectral problems on quantum star graphs	4
A primal-dual approach for the Robin inverse problem in a nonlinear elliptic equation: The case of the ?1 − ?2 cost functional	4
On an iterative fractional Tikhonov–Landweber method for ill-posed problems	4
Joint inversion of high-frequency induction and lateral logging sounding data in earth models with tilted principal axes of the electrical resistivity tensor	4
Inverting the variable fractional order in a variable-order space-fractional diffusion equation with variable diffusivity: analysis and simulation	4
Inverse problems in analysis of input-output model in the class of CES functions	4
The mean field games system: Carleman estimates, Lipschitz stability and uniqueness	4
Recovery of the time-dependent implied volatility of time fractional Black–Scholes equation using linearization technique	4
Inverse coefficient problems and fast automatic differentiation	4

Reconstruction algorithm of 3D surface in scanning electron microscopy with backscattered electron detector	3
Legendre spectral projection methods for Fredholm integral equations of first kind	3
A comparative study of variational autoencoders, normalizing flows, and score-based diffusion models for electrical impedance tomography	3
A data and knowledge driven approach for SPECT using convolutional neural networks and iterative algorithms	3
Imaging of bi-anisotropic periodic structures from electromagnetic near-field data	3
Stability estimates for reconstruction from the Fourier transform on the ball	3
Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium?	3
Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network	3
Agent-based mathematical model of COVID-19 spread in Novosibirsk region: Identifiability, optimization and forecasting	3
Regularization of the backward stochastic heat conduction problem	3
Direct and inverse scalar scattering problems for the Helmholtz equation in ℝ m	3
Inverse problem for integro-differential Kelvin–Voigt equations	3
Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term	3
Convergence analysis of iteratively regularized Gauss–Newton method with frozen derivative in Banach spaces	3
Approximate Lipschitz stability for phaseless inverse scattering with background information	3
A hypersurface containing the support of a Radon transform must be an ellipsoid. II: The general case	2
A fast multilevel iteration method for solving linear ill-posed integral equations	2
Direct and inverse problems for time-fractional heat equation generated by Dunkl operator	2
Weighted sparsity regularization for source identification for elliptic PDEs	2
Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate	2
A posteriori choice of time-discretization step in finite difference methods for solving ill-posed Cauchy problems in Hilbert space	2
Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates	2
Retraction of: Convergence of a series associated with the convexification method for coefficient inverse problems	2
Block Toeplitz Inner-Bordering method for the Gelfand–Levitan–Marchenko equations associated with the Zakharov–Shabat system	2
Possibilities for separation of scalar and vector characteristics of acoustic scatterer in tomographic polychromatic regime	2
On mixed and transverse ray transforms on orientable surfaces	2
Robin–Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain	2
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay	2
Nonlinear dynamics of pulsating detonation wave with two-stage chemical kinetics in the shock-attached frame	2
Multichannel impedance inversion in the frequency domain via anisotropic total variation with overlapping group sparsity regularization	2
Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients	2
Conditional stability in a backward Cahn–Hilliard equation via a Carleman estimate	2
Hadamard’s example and solvability of the mixed Cauchy problem for the multidimensional Gellerstedt equation	2
Variational-hemivariational inverse problem for electro-elastic unilateral frictional contact problem	2
Reconstruction of acoustic sources from multi-frequency phaseless far-field data	2
Alternative fan-beam backprojection and adjoint operators	2
Detection of velocity and attenuation inclusions in the medical ultrasound tomography	2
Inverse problem for Dirac operators with two constant delays	2
Soliton orthogonal frequency division multiplexing with phase–frequency coding on the base of inverse scattering transform	2
On the mean field games system with lateral Cauchy data via Carleman estimates	2
Research biography of a distinguished expert in the field of inverse problems: Professor Michael Victor Klibanov	1
Extracting discontinuity using the probe and enclosure methods	1
A discretizing Tikhonov regularization method via modified parameter choice rules	1
Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant	1
Parameter identification for portfolio optimization with a slow stochastic factor	1
Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model	1
Determination of unknown shear force in transverse dynamic force microscopy from measured final data	1
The Sommerfeld problem and inverse problem for the Helmholtz equation	1
Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions	1
Foreword to the Special Issue “Inverse Problems and Nonlinear Phenomena”	1

Three-dimensional transient electromagnetic inversion with optimal transport	1
On theX-ray transform of planar symmetric tensors	1
Stability for the electromagnetic inverse source problem in inhomogeneous media	1
Stability properties for a class of inverse problems	1
Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation	1
A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation	1
Extract the information from big data with randomly distributed noise	1
A perturbation analysis based on group sparse representation with orthogonal matching pursuit	1
Identification of an unknown flexural rigidity of a cantilever Euler–Bernoulli beam from measured boundary deflection	1
On the recovery of internal source for an elliptic system by neural network approximation	1
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion	1
Inverse parabolic problems of determining functions with one spatial-component independence by Carleman estimate	1
A dynamical method for optimal control of the obstacle problem	1
Inverse problems of identifying the unknown transverse shear force in the Euler–Bernoulli beam with Kelvin–Voigt damping	1
Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models	1
Curious ill-posedness phenomena in the composition of non-compact linear operators in Hilbert spaces	1
The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes	1
A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method	1
Reconstruction of local volatility surface from American options	1
Fixed angle inverse scattering in the presence of a Riemannian metric	1
Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces	1
A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube	1
Determination of the time-dependent effective ion collision frequency from an integral observation	1
On dynamical input reconstruction in a distributed second order equation	1
Global stability result for parabolic Cauchy problems	1
C-regularized solutions of ill-posed problems defined by strong strip-type operators	1
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	1
On an inverse problem for a linearized system of Navier–Stokes equations with a final overdetermination condition	1
Optimal convergence rates for inexact Newton regularization with CG as inner iteration	1
Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory	1
Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations	1
On stable parameter estimation and short-term forecasting with quantified uncertainty with application to COVID-19 transmission	1
Parameter estimation for a chaotic dynamical system with partial observations	1
Alternating minimization methods for strongly convex optimization	1
Perturbation analysis of ?1‒2 method for robust sparse recovery	1
Extract the information via multiple repeated observations under randomly distributed noise	0
A physics-inspired neural network for short-wave radiation parameterization	0
Acquiring elastic properties of thin composite structure from vibrational testing data	0
On unique determination of an unknown spatial load in damped Euler–Bernoulli beam equation from final time output	0
The factorization method for a penetrable cavity scattering with interior near-field measurements	0
A layer potential approach to inverse problems in brain imaging	0
The game model with multi-task for image denoising and edge extraction	0
Stability estimate for scalar image velocimetry	0
Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate	0
On the uniqueness theorems for transmission problems related to models of elasticity, diffusion and electrocardiography	0
On the inverse gravimetry problem with minimal data	0
Modified ridge estimator in the Bell regression model	0
Frontmatter	0
The problem of determining multiple coefficients in an ultrahyperbolic equation	0
On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method	0
Scalar and vector tomography for the weighted transport equation with application to helioseismology	0
Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference	0
The high-order estimate of the entire function associated with inverse Sturm–Liouville problems	0
Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation	0
Ill-posed problems and the conjugate gradient method: Optimal convergence rates in the presence of discretization and modelling errors	0
Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation	0
Inpainting of regular textures using ridge functions	0
The overdetermined Cauchy problem for the hyperbolic Gellerstedt equation	0
Inverse nodal problem for singular Sturm–Liouville operator on a star graph	0
Mathematical modelling of plasmonic strain sensors	0
The inverse scattering problem for an inhomogeneous two-layered cavity	0
Uniqueness of the potential in a time-fractional diffusion equation	0
A modified iteratively regularized Landweber iteration method: Hölder stability and convergence rates	0
High-order block RIP for nonconvex block-sparse compressed sensing	0
Ensemble Kalman inversion based on level set method for inverse elastic scattering problem	0
Frontmatter	0
Certain inverse uniqueness from the quotients of scattering coefficients	0
A projected gradient method for nonlinear inverse problems with ?ℓ1 − ?ℓ2 sparsity regularization	0
Generalized Abel equations and applications to translation invariant Radon transforms	0
Secant-type iteration for nonlinear ill-posed equations in Banach space	0
Simplified REGINN-IT method in Banach spaces for nonlinear ill-posed operator equations	0
Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method	0
Ambarzumyan-type theorem for the impulsive Sturm–Liouville operator	0
Accelerating regional weather forecasting by super-resolution and data-driven methods	0
Complex turbulent exchange coefficient in Akerblom–Ekman model	0
A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling	0
Frontmatter	0
Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem	0
Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition	0
Well-posedness and Tikhonov regularization of an inverse source problem for a parabolic equation with an integral constraint	0

Correctness and regularization of stochastic problems	0
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform	0
The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation	0
Calculation of the gradient of Tikhonov’s functional in solving coefficient inverse problems for linear partial differential equations	0
Inverse problems for equations of a mixed parabolic-hyperbolic type with power degeneration in finding the right-hand parts that depend on time	0
Frontmatter	0
On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement II. The non-radial case	0
Analytical solution of Stefan-type problems	0
Diffusion tensor regularization with metric double integrals	0
Optimal experiment design for inverse problems via selective normalization and zero-shift times	0
Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source	0
Inverse problem of shape identification from boundary measurement for Stokes equations: Shape differentiability of Lagrangian	0
Robust signal recovery via ℓ1–2/ℓ?minimization with partially known support	0
Reverse time migration for imaging periodic obstacles with electromagnetic plane wave	0
Modified linear sampling method for inverse scattering by a partially coated dielectric	0
Determination of an unknown coefficient in the Korteweg–de Vries equation	0
Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity	0
Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data	0
Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges	0
Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems	0
Inverse spectral problem for differential pencils with a frozen argument	0
Inverse problem for Sturm–Liouville operator with complex-valued weight and eigenparameter dependent boundary conditions	0
Frontmatter	0
Nonlinear system identification via sparse Bayesian regression based on collaborative neurodynamic optimization	0
Frontmatter	0
Frontmatter	0
An extrapolation method for improving the quality of tomographic images using multiple short-pulse irradiations	0
CT image restoration method via total variation and L 0 smoothing filter	0
Tensor tomography of the residual stress field in graded-index YAG’s single crystals	0
The group behavior analysis of the high-frequency traders based on Mean Field Games approach	0
Regularization operators versus regularization strategies	0
On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem	0
Inverse problems for the eigenparameter Dirac operator with complex weight	0
A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave	0
Imaging of mass distributions from partial domain measurement	0
Inverse scattering transform in two spatial dimensions for the N-wave interaction problem with a dispersive term	0
On recovering Sturm–Liouville operators with two delays	0
Direct numerical algorithm for calculating the heat flux at an inaccessible boundary	0
Duality of fractional derivatives: On a hybrid and non-hybrid inclusion problem	0
Multi-coil MRI by analytic continuation	0
Right and left inverse scattering problems formulations for the Zakharov–Shabat system	0
Integrating the probe and singular sources methods	0
Inverse problems for finite Jacobi matrices and Krein–Stieltjes strings	0
A reduced basis Landweber method for the identification of piecewise constant Robin coefficient in an elliptic equation	0
Frontmatter	0
Inverse scattering for three-dimensional quasi-linear biharmonic operator	0
A projected homotopy perturbation method for nonlinear inverse problems in Banach spaces	0
Frontmatter	0
Adaptive Runge–Kutta regularization for a Cauchy problem of a modified Helmholtz equation	0
Fast multilevel iteration methods for solving nonlinear ill-posed problems	0
Reconstruction of modified transmission eigenvalues using Cauchy data	0
Reconstruction of polytopes from the modulus of the Fourier transform with small wave length	0
Inverse problem for a degenerate/singular parabolic system with Neumann boundary conditions	0
Frontmatter	0
The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method	0
Artificial intelligence for COVID-19 spread modeling	0
On the uniqueness of solutions in inverse problems for Burgers’ equation under a transverse diffusion	0
Markov chain Monte Carlo methods applied to the stochastic inversion of 1D viscoelastic parameters	0
Application of locally regularized extremal shift to the problem of realization of a prescribed motion	0
Optimization method for a multi-parameters identification problem in degenerate parabolic equations	0
Simultaneous determination of mass density and flexural rigidity of the damped Euler–Bernoulli beam from two boundary measured outputs	0
On finding a penetrable obstacle using a single electromagnetic wave in the time domain	0
M. M. Lavrentiev-type systems and reconstructing parameters of viscoelastic media	0
The inverse problem of heat conduction in the case of non-uniqueness: A functional identification approach	0
A new regularization for time-fractional backward heat conduction problem	0
Boundary determination for hybrid imaging from a single measurement	0
On the convergence of recursive SURE for total variation minimization	0
The linear sampling method for penetrable cylinder with inclusions for obliquely incident polarized electromagnetic waves	0
Frontmatter	0
Multi-scale ground penetrating radar full waveform inversion with hybrid Tikhonov and total-variation regularization for different geometric structure	0
Frontmatter	0
Interior reconstruction in tomography via prior support constrained compressed sensing	0
Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set	0
Frontmatter	0
Error estimates for simplified Levenberg–Marquardt method for nonlinear ill-posed operator equations in Hilbert Spaces	0
Research biography of a distinguished expert in the field of inverse problems: Professor Eric Todd Quinto	0
Fast iterative regularization by reusing data	0
Unique continuation property of solutions to general second order elliptic systems	0
A weakly inhomogeneous vibrating membrane and the solotone effect in two dimensions	0