Journal of Inverse and Ill-Posed Problems

Article	Citations
Stability estimates for an inverse problem of determining time-dependent coefficients in a system of parabolic equations	16
Inverse problems for equations of a mixed parabolic-hyperbolic type with power degeneration in finding the right-hand parts that depend on time	15
Simultaneous reconstruction of two potentials for a nonconservative Schrödinger equation with dynamic boundary conditions	13
Evaluations of European options and stop-loss premiums via the Laplace transform inversion	12
Block Toeplitz Inner-Bordering method for the Gelfand–Levitan–Marchenko equations associated with the Zakharov–Shabat system	11
Error estimates for simplified Levenberg–Marquardt method for nonlinear ill-posed operator equations in Hilbert spaces	10
A weakly inhomogeneous vibrating membrane and the solotone effect in two dimensions	10
Stability estimate for identification of the unknown source term and initial value for the time fractional diffusion equation with local and nonlocal operators	8
Determining both leading coefficient and source in a nonlocal elliptic equation	8
Frontmatter	7
The game model with multi-task for image denoising and edge extraction	6
Accelerating regional weather forecasting by super-resolution and data-driven methods	6
Convergence rates for Tikhonov regularization of a coefficient identification problem	6
Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues	6
On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem	5
Stability estimate for the time-dependent source function component of parabolic equations with coefficients dependent on space and time variables	5
Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set	4
A two-stage algorithm based on convolution and attention hybrid architecture for multi-obstacle inverse scattering problems: Integrating obstacle perception and shape recognition	4
The problem of determining multiple coefficients in an ultrahyperbolic equation	4
Identification of a diffusion coefficient in a distributed order time fractional diffusion equation based on the conjugate gradient method	4
A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method	4
The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method	4
A physics-inspired neural network for short-wave radiation parameterization	4
Inversions of stochastic processes from their ergodic measures of nonlinear SDEs	4
Direct numerical algorithm for calculating the heat flux at an inaccessible boundary	4

Determination of the time-dependent effective ion collision frequency from an integral observation	4
On the uniqueness theorems for transmission problems related to models of elasticity, diffusion and electrocardiography	3
Inverse source problems for the polyharmonic heat equation	3
Extracting discontinuity using the probe and enclosure methods	3
The inverse problem of heat conduction in the case of non-uniqueness: A functional identification approach	3
Markov chain Monte Carlo methods applied to the stochastic inversion of 1D viscoelastic parameters	3
Analysis of a multiplicative control problem for a nonlinear reaction–diffusion–convection equation	3
Integrating the probe and singular sources methods	3
A rotation total variation regularization for full waveform inversion	3
Determination of lower order perturbations of a polyharmonic operator in two dimensions	3
Inverse problem for Sturm–Liouville operator with complex-valued weight and eigenparameter dependent boundary conditions	3
Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations	3
Novel soliton and wave solutions of a higher-dimensional fractional model in fluid mechanics	2
Two regularization methods for identifying the source term of Caputo–Hadamard type time fractional diffusion-wave equation	2
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform	2
A projection-based neurodynamic system method with convergence guarantees for ???? ???? -regularized (0 < ???? < 1) sparse recovery problem	2
A stochastic simulation algorithm with iterative refinement for solving integral equations related to an inverse problem for the wave equation	2
On the inverse gravimetry problem with minimal data	2
A new regularization for time-fractional backward heat conduction problem	2
Regularization operators versus regularization strategies	2
Multi-coil MRI by analytic continuation	2
Propagation of pollutants in the atmosphere based on 3D Navier–Stokes equations: Direct and inverse source problem	2
Analytical solution of Stefan-type problems	2
Reconstruction of the heat transfer coefficient from boundary measurements	2
Tow-parameter quasi-boundary value method for a backward abstract time-degenerate fractional parabolic problem	2
Stability estimates for diverse inverse source problems in time-domain elastic wave equations	2
An inverse problem for nonlinear electrodynamic equations	2
Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant	2
M. M. Lavrentiev-type systems and reconstructing parameters of viscoelastic media	2
Stability estimate for scalar image velocimetry	2
Recovering the elapsed time in the porous medium equation from a single large-time measurement	2
Fast multilevel iteration methods for solving nonlinear ill-posed problems	2
On finding a penetrable obstacle using a single electromagnetic wave in the time domain	2
Quantum inverse scattering for time-dependent repulsive Hamiltonians of quadratic type	2
Stability estimate and the Tikhonov regularization method for the Kuramoto–Sivashinsky equation backward in time	2
Acquiring elastic properties of thin composite structure from vibrational testing data	1
Ill-posed problems and the conjugate gradient method: Optimal convergence rates in the presence of discretization and modelling errors	1
Inverse problem for integro-differential Kelvin–Voigt equations	1
Modified linear sampling method for inverse scattering by a partially coated dielectric	1
Recovering coefficients in a nonlinear acoustics equation for an inhomogeneous media	1
An identification problem for a second-order abstract neutral functional differential equation with impulses	1
On the mean field games system with lateral Cauchy data via Carleman estimates	1
Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation	1
Determination of an unknown coefficient in the Korteweg–de Vries equation	1
Inverse problem for Dirac operators with two constant delays	1
Alternative fan-beam backprojection and adjoint operators	1
Fast iterative regularization by reusing data	1
ECALL: Estimation-calibrated learning for joint deconvolution and kernel inference from unpaired data	1
Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation	1
A layer stripping method for numerical solution of the GPR problem in a layered medium	1

A dynamical method for optimal control of the obstacle problem	1
Interior reconstruction in tomography via prior support constrained compressed sensing	1
Continuation problems: Theory, numerics, neural networks and applications	1
Frontmatter	1
Modified ridge estimator in the Bell regression model	1
On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method	1
Artificial intelligence for COVID-19 spread modeling	1
Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces	1
Duality of fractional derivatives: On a hybrid and non-hybrid inclusion problem	1
Three-spindle inequality for parabolic equations: A simplified approach to the three-cylinder inequality	1
An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points	1
PSWF-Radon approach to reconstruction from band-limited Hankel transform	1
Binary sparse signal recovery with binary least squares	1
On the stability of a time-dependent source identification problem for a Schrödinger-type involutory differential equation	1
Alternating algorithms applied to Cauchy problems for a fractional elliptic equation with fractional-order boundary conditions	1
The group behavior analysis of the high-frequency traders based on Mean Field Games approach	1
Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation	1
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay	1
Certain inverse uniqueness from the quotients of scattering coefficients	1
A filter regularization for recovering wave amplitude in viscoelastic media governed by fractional diffusion-wave systems	1
Correctness and regularization of stochastic problems	1
The mean field games system: Carleman estimates, Lipschitz stability and uniqueness	1
Carleman estimate for stochastic degenerate wave equation with drift and its application	1
Uniqueness for Cauchy problems for parabolic equations with rapid decay at infinity	1
Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity	1
Method for solving inverse spectral problems on quantum star graphs	1
A comparative study of variational autoencoders, normalizing flows, and score-based diffusion models for electrical impedance tomography	1
On the Cauchy problems for the Poisson equations with operator coefficients	1
Curious ill-posedness phenomena in the composition of non-compact linear operators in Hilbert spaces	0
Integrating the probe and singular sources methods: III. Mixed obstacle case	0
Approximate peak time and a global reconstruction algorithm for time-domain fluorescence diffuse optical tomography	0
Approximate recovery of the Sturm–Liouville problem on a half-line from the Weyl function	0
Spectral MUSIC for curve-constrained source localization	0
A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation	0
A projected gradient method for nonlinear inverse problems with ????ℓ1 − ????ℓ2 sparsity regularization	0
Frontmatter	0
A primal-dual approach for the Robin inverse problem in a nonlinear elliptic equation: The case of the ????1 − ????2 cost functional	0
Robust signal recovery via ℓ1–2/ℓ????minimization with partially known support	0
Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition	0
On mixed and transverse ray transforms on orientable surfaces	0
An inversion formula for the Radon transform in three-dimensional space with a weight function	0
Frontmatter	0
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion	0
Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges	0
Application of locally regularized extremal shift to the problem of realization of a prescribed motion	0
Minimal identification of sums of exponentials with unknown parameters	0
Unique reconstruction of the inverse spectral problem with mixed data for AKNS operator	0
Recovering Lamé kernels in viscoelastic equations and ray transforms	0
Frontmatter	0
Inverse initial problem under Nash strategy for stochastic reaction-diffusion equations with dynamic boundary conditions	0
Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions	0
Stochastic data-driven Bouligand–Landweber method for solving non-smooth inverse problems	0
Local convergence of the error-reduction algorithm for real-valued objects	0
A statistical stopping rule for iterative image reconstruction in emission tomography	0
Recovery analysis for the ℓ p /ℓ1 minimization problem	0
Tensor tomography of the residual stress field in graded-index YAG’s single crystals	0
Weighted sparsity regularization for source identification for elliptic PDEs	0
Approximate direct and inverse scattering for the AKNS system	0
A stochastic simulation algorithm with iterative refinement for solving integral equations related to an inverse problem for the wave equation	0
Integrating the probe and singular sources methods: IV. IPS function for the Schrödinger equation	0
An iteration method with relaxation parameter for solving ill-posed linear operator equations	0
An a priori method for estimating the informativeness of the configuration of sensor placement when solving inverse problems of remote sensing	0
Approximate Lipschitz stability for phaseless inverse scattering with background information	0
Discrete dynamical systems: Inverse problems and related topics	0
A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube	0
Nonlinear system identification via sparse Bayesian regression based on collaborative neurodynamic optimization	0
On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement II. The non-radial case	0
Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method	0
Results on inverse problem for abstract semilinear differential inclusions	0
Simultaneous determination of mass density and flexural rigidity of the damped Euler–Bernoulli beam from two boundary measured outputs	0
CT image restoration method via total variation and L 0 smoothing filter	0
Ensemble Kalman inversion based on level set method for inverse elastic scattering problem	0
Boundary determination for hybrid imaging from a single measurement	0
Blow-up of solutions to some classes of ill-posed operator equations and a growth quantification result	0
Frontmatter	0
On an inverse problem with high-order overdetermination conditions	0
Generalized Abel equations and applications to translation invariant Radon transforms	0
A discretizing Tikhonov regularization method via modified parameter choice rules	0
A discretized Predictor–Corrector iterative Tikhonov regularization method via heuristic parameter choice rule	0
Well-posedness and Tikhonov regularization of an inverse source problem for a parabolic equation with an integral constraint	0

Determination of unknown shear force in transverse dynamic force microscopy from measured final data	0
On determining the fractional exponent of the subdiffusion equation	0
Complex turbulent exchange coefficient in Akerblom–Ekman model	0
Stability properties for a class of inverse problems	0
Agent-based mathematical model of COVID-19 spread in Novosibirsk region: Identifiability, optimization and forecasting	0
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	0
Extract the information via multiple repeated observations under randomly distributed noise	0
Inverse nodal problem for singular Sturm–Liouville operator on a star graph	0
On theX-ray transform of planar symmetric tensors	0
Stability of the inverse Sturm–Liouville problem on a graph with a cycle	0
Reverse time migration for imaging periodic obstacles with electromagnetic plane wave	0
Parameter identification for the stochastic ductal carcinoma in situ model with free boundary conditions	0
A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave	0
A regularization algorithm for inverse Sturm–Liouville problem on the star-shaped graph	0
Numerical solutions to inverse nodal problems for the Sturm–Liouville operator and their applications	0
On an inverse problem for a linearized system of Navier–Stokes equations with a final overdetermination condition	0
A projected homotopy perturbation method for nonlinear inverse problems in Banach spaces	0
Reconstruction of polytopes from the modulus of the Fourier transform with small wave length	0
Stable approximation of unbounded matrix operators for the simultaneous inversion of source terms and initial values in time-fractional Black–Scholes equation	0
Simplified REGINN-IT method in Banach spaces for nonlinear ill-posed operator equations	0
Direct and inverse problems for Korteweg–de Vries’ family equations in the Fermi–Pasta–Ulam–Tsingou model for an inhomogeneous structure of lattice	0
On recovering Sturm–Liouville operators with two delays	0
A novel method for computing core-EP inverse through elementary transformation	0
A posteriori error estimates in linear ill-posed problems	0
Inverse problems of identifying the unknown transverse shear force in the Euler–Bernoulli beam with Kelvin–Voigt damping	0
A numerical method of the Cauchy problem for the heat equation based on integral equations	0
Frontmatter	0
Inverse spectral problem for differential pencils with a frozen argument	0
Inverse source problem for recovering a space-dependent factor in a Caputo–Hadamard pseudo-parabolic equation	0
Material parameter estimation for a viscoelastic stenosis model using a variational autoencoder inverse mapper	0
An inverse problem of determining the fractional order in a fractional SVIRS epidemic model based on the asymptotic solution	0
High-order block RIP for nonconvex block-sparse compressed sensing	0
Adaptive ensemble Kalman filter with extended sampling for inverse scattering problem with limited aperture data	0
Right and left inverse scattering problems formulations for the Zakharov–Shabat system	0
Numerical reconstructions of a source term in a mobile-immobile diffusion model from the partial interior observation	0
Enhancing chromatographic resolution via smoothing-based global optimization and neural surrogate PDE modeling	0
Weighting operators for sparsity regularization	0
Inverse problem for the Atangana–Baleanu fractional differential equation	0
A layer potential approach to inverse problems in brain imaging	0
Inverse nodal problems for Sturm–Liouville operators with many frozen arguments	0
Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate	0
Study and numerical solution of a class of coefficient-inverse problems for ODEs with nonlocal conditions	0
The overdetermined Cauchy problem for the hyperbolic Gellerstedt equation	0
Uniqueness of the potential in a time-fractional diffusion equation	0
Adaptive Runge–Kutta regularization for a Cauchy problem of a modified Helmholtz equation	0
Classification of cerebrovascular pathologies in real-time using nonlinear ODE-based surrogate model	0
Research biography of Jan Boman: Mathematician and explorer	0
Bifurcation of spectra of periodic self-adjoint operators on axis with small ????????-symmetric potential	0
A novel regularization scheme for a backward problem in a sub-diffusion model	0
Multi-scale ground penetrating radar full waveform inversion with hybrid Tikhonov and total-variation regularization for different geometric structure	0
Frontmatter	0
The factorization method for a penetrable cavity scattering with interior near-field measurements	0
The high-order estimate of the entire function associated with inverse Sturm–Liouville problems	0
Revisiting linear machine learning through the perspective of inverse problems	0
Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces	0
Optimal experiment design for inverse problems via selective normalization and zero-shift times	0
Reconstruction of modified transmission eigenvalues using Cauchy data	0
Understanding edge artifacts of the OSEM algorithm in emission tomography	0
Direct and inverse scattering problems for two-velocity dynamical systems with time dependent potential	0
Robin–Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain	0
Direct application of a Gaussian process model to generate the inverse function in a parameter estimation problem	0
Optimization method for a multi-parameters identification problem in degenerate parabolic equations	0
A modified iteratively regularized Landweber iteration method: Hölder stability and convergence rates	0
Regularizations for an all-at-once formulation of the electrical impedance tomography problem	0
High-frequency stability estimates for an inverse boundary value problem for the polyharmonic operator with constant attenuation	0
Frontmatter	0
Coefficient identification problem with integral overdetermination condition for diffusion equations	0
Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference	0
About the supports in the Fredholm convolution	0
On the solvability of an inverse problem for the Burgers equation with an integral overdetermination condition in a nonlinearly degenerating domain	0
The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation	0
Recovering the electron mobility from conductivity measurements by stochastic projection methods	0
An inverse problem of finding a time-dependent parameter in a bilinear heat equation	0
Reciprocity based identification of unknown mixed point-distributed sources in coupled elliptic equations	0
On the uniqueness of solutions in inverse problems for Burgers’ equation under a transverse diffusion	0
Integration of the equation formed by the combination of the equations AKNS(+1) and AKNS(-1) using the inverse problem for periodic Dirac operator	0
The inverse scattering problem for an inhomogeneous two-layered cavity	0
Frontmatter	0
Recovery of a matrix-valued potential for the wave equation on stationary spacetimes	0
A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling	0
Inverse problems for the eigenparameter Dirac operator with complex weight	0
Physics-informed neural networks for aggregation kinetics	0
Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients	0
On the recovery of internal source for an elliptic system by neural network approximation	0
Asymptotical method for solution of identification problem defining the fractional order in oscillatory systems with liquid dampers	0
Reconstruction of acoustic sources from multi-frequency phaseless far-field data	0
An extrapolation method for improving the quality of tomographic images using multiple short-pulse irradiations	0