OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Inverse and Ill-Posed Problems is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

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 ℓ_1–2/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