Journal of Inverse and Ill-Posed Problems

Article	Citations
Frontmatter	15
Simultaneous reconstruction of two potentials for a nonconservative Schrödinger equation with dynamic boundary conditions	14
Evaluations of European options and stop-loss premiums via the Laplace transform inversion	13
Inverse problems for equations of a mixed parabolic-hyperbolic type with power degeneration in finding the right-hand parts that depend on time	10
Stability estimates for an inverse problem of determining time-dependent coefficients in a system of parabolic equations	10
Block Toeplitz Inner-Bordering method for the Gelfand–Levitan–Marchenko equations associated with the Zakharov–Shabat system	9
Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data	9
A weakly inhomogeneous vibrating membrane and the solotone effect in two dimensions	8
Determining both leading coefficient and source in a nonlocal elliptic equation	6
Convergence rates for Tikhonov regularization of a coefficient identification problem	6
Error estimates for simplified Levenberg–Marquardt method for nonlinear ill-posed operator equations in Hilbert spaces	6
Frontmatter	6
The game model with multi-task for image denoising and edge extraction	5
Stability estimate for identification of the unknown source term and initial value for the time fractional diffusion equation with local and nonlocal operators	5
On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem	5
Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues	5
Accelerating regional weather forecasting by super-resolution and data-driven methods	5
Identification of a diffusion coefficient in a distributed order time fractional diffusion equation based on the conjugate gradient method	4
Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set	4
Extracting discontinuity using the probe and enclosure methods	4
Determination of the time-dependent effective ion collision frequency from an integral observation	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
Inversions of stochastic processes from their ergodic measures of nonlinear SDEs	4
A physics-inspired neural network for short-wave radiation parameterization	4
Stability estimate for the time-dependent source function component of parabolic equations with coefficients dependent on space and time variables	4

Direct numerical algorithm for calculating the heat flux at an inaccessible boundary	4
The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method	3
A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method	3
Inverse problem for Sturm–Liouville operator with complex-valued weight and eigenparameter dependent boundary conditions	3
Analysis of a multiplicative control problem for a nonlinear reaction–diffusion–convection equation	3
The problem of determining multiple coefficients in an ultrahyperbolic equation	3
Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations	3
On an iterative fractional Tikhonov–Landweber method for ill-posed problems	3
The inverse problem of heat conduction in the case of non-uniqueness: A functional identification approach	3
Integrating the probe and singular sources methods	3
Markov chain Monte Carlo methods applied to the stochastic inversion of 1D viscoelastic parameters	3
A rotation total variation regularization for full waveform inversion	3
Recovering the elapsed time in the porous medium equation from a single large-time measurement	2
Regularization operators versus regularization strategies	2
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform	2
On the uniqueness theorems for transmission problems related to models of elasticity, diffusion and electrocardiography	2
Propagation of pollutants in the atmosphere based on 3D Navier–Stokes equations: Direct and inverse source problem	2
Determination of lower order perturbations of a polyharmonic operator in two dimensions	2
Tow-parameter quasi-boundary value method for a backward abstract time-degenerate fractional parabolic problem	2
A stochastic simulation algorithm with iterative refinement for solving integral equations related to an inverse problem for the wave equation	2
Stability estimate and the Tikhonov regularization method for the Kuramoto–Sivashinsky equation backward in time	2
Inverse source problems for the polyharmonic heat equation	2
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	2
Analytical solution of Stefan-type problems	2
Multi-coil MRI by analytic continuation	2
Reconstruction of local volatility surface from American options	2
Novel soliton and wave solutions of a higher-dimensional fractional model in fluid mechanics	2
M. M. Lavrentiev-type systems and reconstructing parameters of viscoelastic media	2
Parameter identification for portfolio optimization with a slow stochastic factor	2
Stability estimate for scalar image velocimetry	2
Fast multilevel iteration methods for solving nonlinear ill-posed problems	2
Two regularization methods for identifying the source term of Caputo–Hadamard type time fractional diffusion-wave equation	2
Reconstruction of the heat transfer coefficient from boundary measurements	2
A comparative study of variational autoencoders, normalizing flows, and score-based diffusion models for electrical impedance tomography	1
Fast iterative regularization by reusing data	1
Binary sparse signal recovery with binary least squares	1
An identification problem for a second-order abstract neutral functional differential equation with impulses	1
Correctness and regularization of stochastic problems	1
Legendre spectral projection methods for Fredholm integral equations of first kind	1
Artificial intelligence for COVID-19 spread modeling	1
Frontmatter	1
Acquiring elastic properties of thin composite structure from vibrational testing data	1
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay	1
Quantum inverse scattering for time-dependent repulsive Hamiltonians of quadratic type	1
An inverse problem for nonlinear electrodynamic equations	1
On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method	1
Determination of an unknown coefficient in the Korteweg–de Vries equation	1
Method for solving inverse spectral problems on quantum star graphs	1
An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points	1
Inverse problem for integro-differential Kelvin–Voigt equations	1

Inverse problem for Dirac operators with two constant delays	1
Alternative fan-beam backprojection and adjoint operators	1
Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation	1
Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation	1
Modified ridge estimator in the Bell regression model	1
Optimal convergence rates for inexact Newton regularization with CG as inner iteration	1
C-regularized solutions of ill-posed problems defined by strong strip-type operators	1
A new regularization for time-fractional backward heat conduction problem	1
A filter regularization for recovering wave amplitude in viscoelastic media governed by fractional diffusion-wave systems	1
Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant	1
Interior reconstruction in tomography via prior support constrained compressed sensing	1
PSWF-Radon approach to reconstruction from band-limited Hankel transform	1
Duality of fractional derivatives: On a hybrid and non-hybrid inclusion problem	1
Uniqueness for Cauchy problems for parabolic equations with rapid decay at infinity	1
ECALL: Estimation-calibrated learning for joint deconvolution and kernel inference from unpaired data	1
Certain inverse uniqueness from the quotients of scattering coefficients	1
Stability for the electromagnetic inverse source problem in inhomogeneous media	1
The group behavior analysis of the high-frequency traders based on Mean Field Games approach	1
On the mean field games system with lateral Cauchy data via Carleman estimates	1
Modified linear sampling method for inverse scattering by a partially coated dielectric	1
Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity	1
On the inverse gravimetry problem with minimal data	1
Stability estimates for diverse inverse source problems in time-domain elastic wave equations	1
On finding a penetrable obstacle using a single electromagnetic wave in the time domain	1
A dynamical method for optimal control of the obstacle problem	1
On the Cauchy problems for the Poisson equations with operator coefficients	1
Ill-posed problems and the conjugate gradient method: Optimal convergence rates in the presence of discretization and modelling errors	1
Frontmatter	0
Regularizations for an all-at-once formulation of the electrical impedance tomography problem	0
On mixed and transverse ray transforms on orientable surfaces	0
Approximate direct and inverse scattering for the AKNS system	0
Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces	0
On recovering Sturm–Liouville operators with two delays	0
An iteration method with relaxation parameter for solving ill-posed linear operator equations	0
Recovering Lamé kernels in viscoelastic equations and ray transforms	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
The mean field games system: Carleman estimates, Lipschitz stability and uniqueness	0
Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model	0
Nonlinear system identification via sparse Bayesian regression based on collaborative neurodynamic optimization	0
Stable approximation of unbounded matrix operators for the simultaneous inversion of source terms and initial values in time-fractional Black–Scholes equation	0
Direct and inverse problems for time-fractional heat equation generated by Dunkl operator	0
A projected homotopy perturbation method for nonlinear inverse problems in Banach spaces	0
Rough surfaces reconstruction via phase and phaseless data by a multi-frequency homotopy iteration method	0
Inverse problem for the Atangana–Baleanu fractional differential equation	0
Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions	0
Direct application of a Gaussian process model to generate the inverse function in a parameter estimation problem	0
Simultaneous determination of mass density and flexural rigidity of the damped Euler–Bernoulli beam from two boundary measured outputs	0
Inverse problems for the eigenparameter Dirac operator with complex weight	0
Stability of the inverse Sturm–Liouville problem on a graph with a cycle	0
Inverse nodal problems for Sturm–Liouville operators with many frozen arguments	0
Study and numerical solution of a class of coefficient-inverse problems for ODEs with nonlocal conditions	0
A discretizing Tikhonov regularization method via modified parameter choice rules	0
Material parameter estimation for a viscoelastic stenosis model using a variational autoencoder inverse mapper	0
Adaptive Runge–Kutta regularization for a Cauchy problem of a modified Helmholtz equation	0
Stability properties for a class of inverse problems	0
The inverse scattering problem for an inhomogeneous two-layered cavity	0
On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement II. The non-radial case	0
A primal-dual approach for the Robin inverse problem in a nonlinear elliptic equation: The case of the ????1 − ????2 cost functional	0
Extract the information via multiple repeated observations under randomly distributed noise	0
Weighting operators for sparsity regularization	0
A layer potential approach to inverse problems in brain imaging	0
Discrete dynamical systems: Inverse problems and related topics	0
Asymptotical method for solution of identification problem defining the fractional order in oscillatory systems with liquid dampers	0
Frontmatter	0
Reconstruction of modified transmission eigenvalues using Cauchy data	0
Direct and inverse scattering problems for two-velocity dynamical systems with time dependent potential	0
Convergence analysis of iteratively regularized Gauss–Newton method with frozen derivative in Banach spaces	0
A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave	0
An inverse problem of finding a time-dependent parameter in a bilinear heat equation	0
Inverse initial problem under Nash strategy for stochastic reaction-diffusion equations with dynamic boundary conditions	0
Complex turbulent exchange coefficient in Akerblom–Ekman model	0
Approximate recovery of the Sturm–Liouville problem on a half-line from the Weyl function	0
About the supports in the Fredholm convolution	0
Determination of unknown shear force in transverse dynamic force microscopy from measured final data	0
Frontmatter	0
Minimal identification of sums of exponentials with unknown parameters	0
On an inverse problem with high-order overdetermination conditions	0
A modified iteratively regularized Landweber iteration method: Hölder stability and convergence rates	0
A numerical method of the Cauchy problem for the heat equation based on integral equations	0
Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation	0

Frontmatter	0
A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling	0
Inverse nodal problem for singular Sturm–Liouville operator on a star graph	0
On the uniqueness of solutions in inverse problems for Burgers’ equation under a transverse diffusion	0
Inverse problems of identifying the unknown transverse shear force in the Euler–Bernoulli beam with Kelvin–Voigt damping	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
Optimization method for a multi-parameters identification problem in degenerate parabolic equations	0
Parameter identification for the stochastic ductal carcinoma in situ model with free boundary conditions	0
Revisiting linear machine learning through the perspective of inverse problems	0
Physics-informed neural networks for aggregation kinetics	0
Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges	0
Understanding edge artifacts of the OSEM algorithm in emission tomography	0
Ensemble Kalman inversion based on level set method for inverse elastic scattering problem	0
Research biography of Jan Boman: Mathematician and explorer	0
Integrating the probe and singular sources methods: III. Mixed obstacle case	0
An a priori method for estimating the informativeness of the configuration of sensor placement when solving inverse problems of remote sensing	0
Curious ill-posedness phenomena in the composition of non-compact linear operators in Hilbert spaces	0
Frontmatter	0
Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate	0
Recovery of a matrix-valued potential for the wave equation on stationary spacetimes	0
A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation	0
The factorization method for a penetrable cavity scattering with interior near-field measurements	0
Boundary determination for hybrid imaging from a single measurement	0
CT image restoration method via total variation and L 0 smoothing filter	0
Multi-scale ground penetrating radar full waveform inversion with hybrid Tikhonov and total-variation regularization for different geometric structure	0
Right and left inverse scattering problems formulations for the Zakharov–Shabat system	0
A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube	0
An extrapolation method for improving the quality of tomographic images using multiple short-pulse irradiations	0
The high-order estimate of the entire function associated with inverse Sturm–Liouville problems	0
Adaptive ensemble Kalman filter with extended sampling for inverse scattering problem with limited aperture data	0
On theX-ray transform of planar symmetric tensors	0
Approximate Lipschitz stability for phaseless inverse scattering with background information	0
The asymptotic behavior of the solution of an inverse problem for the pseudoparabolic equation	0
Stochastic data-driven Bouligand–Landweber method for solving non-smooth inverse problems	0
Optimal experiment design for inverse problems via selective normalization and zero-shift times	0
Reconstruction of polytopes from the modulus of the Fourier transform with small wave length	0
Recovery analysis for the ℓ p /ℓ1 minimization problem	0
Weighted sparsity regularization for source identification for elliptic PDEs	0
A novel regularization scheme for a backward problem in a sub-diffusion model	0
A statistical stopping rule for iterative image reconstruction in emission tomography	0
Carleman estimate for stochastic degenerate wave equation with drift and its application	0
Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces	0
A posteriori error estimates in linear ill-posed problems	0
Tensor tomography of the residual stress field in graded-index YAG’s single crystals	0
An inverse problem of determining the fractional order in a fractional SVIRS epidemic model based on the asymptotic solution	0
Three-spindle inequality for parabolic equations: A simplified approach to the three-cylinder inequality	0
On the recovery of internal source for an elliptic system by neural network approximation	0
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion	0
Research biography of a distinguished expert in the field of inverse problems: Professor Eric Todd Quinto	0
Hadamard’s example and solvability of the mixed Cauchy problem for the multidimensional Gellerstedt equation	0
Local convergence of the error-reduction algorithm for real-valued objects	0
High-order block RIP for nonconvex block-sparse compressed sensing	0
Reconstruction of acoustic sources from multi-frequency phaseless far-field data	0
On an inverse problem for a linearized system of Navier–Stokes equations with a final overdetermination condition	0
Frontmatter	0
Blow-up of solutions to some classes of ill-posed operator equations and a growth quantification result	0
Robin–Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain	0
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	0
Agent-based mathematical model of COVID-19 spread in Novosibirsk region: Identifiability, optimization and forecasting	0
Reverse time migration for imaging periodic obstacles with electromagnetic plane wave	0
A novel method for computing core-EP inverse through elementary transformation	0
Robust signal recovery via ℓ1–2/ℓ????minimization with partially known support	0
Generalized Abel equations and applications to translation invariant Radon transforms	0
Approximate peak time and a global reconstruction algorithm for time-domain fluorescence diffuse optical tomography	0
Inverse spectral problem for differential pencils with a frozen argument	0
Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients	0
On determining the fractional exponent of the subdiffusion equation	0
Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition	0
Classification of cerebrovascular pathologies in real-time using nonlinear ODE-based surrogate model	0
Numerical reconstructions of a source term in a mobile-immobile diffusion model from the partial interior observation	0
Frontmatter	0
Results on inverse problem for abstract semilinear differential inclusions	0
Well-posedness and Tikhonov regularization of an inverse source problem for a parabolic equation with an integral constraint	0
Application of locally regularized extremal shift to the problem of realization of a prescribed motion	0
Numerical solutions to inverse nodal problems for the Sturm–Liouville operator and their applications	0
A projected gradient method for nonlinear inverse problems with ????ℓ1 − ????ℓ2 sparsity regularization	0
An inversion formula for the Radon transform in three-dimensional space with a weight function	0
Unique reconstruction of the inverse spectral problem with mixed data for AKNS operator	0
Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference	0
The overdetermined Cauchy problem for the hyperbolic Gellerstedt equation	0
Simplified REGINN-IT method in Banach spaces for nonlinear ill-posed operator equations	0
Uniqueness of the potential in a time-fractional diffusion equation	0
On the solvability of an inverse problem for the Burgers equation with an integral overdetermination condition in a nonlinearly degenerating domain	0