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 2021-05-01 to 2025-05-01.)

Article	Citations
Inverse problems for equations of a mixed parabolic-hyperbolic type with power degeneration in finding the right-hand parts that depend on time	9
Frontmatter	9
Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data	8
Stability results for weak solutions to backward one-dimensional semi-linear parabolic equations with locally Lipschitz source	7
Block Toeplitz Inner-Bordering method for the Gelfand–Levitan–Marchenko equations associated with the Zakharov–Shabat system	5
On unique determination of an unknown spatial load in damped Euler–Bernoulli beam equation from final time output	5
A weakly inhomogeneous vibrating membrane and the solotone effect in two dimensions	5
Stability estimates for an inverse problem of determining time-dependent coefficients in a system of parabolic equations	5
On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem	4
Inverse Sturm–Liouville problem with polynomials in the boundary condition and multiple eigenvalues	4
Error estimates for simplified Levenberg–Marquardt method for nonlinear ill-posed operator equations in Hilbert spaces	4
Extract the information from big data with randomly distributed noise	4
Three-dimensional transient electromagnetic inversion with optimal transport	4
Determining both leading coefficient and source in a nonlocal elliptic equation	4
Accelerating regional weather forecasting by super-resolution and data-driven methods	4
The game model with multi-task for image denoising and edge extraction	4
Determination of the time-dependent effective ion collision frequency from an integral observation	3
Frontmatter	3
Integrating the probe and singular sources methods	3
A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method	3
Direct numerical algorithm for calculating the heat flux at an inaccessible boundary	3
Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set	3
Extracting discontinuity using the probe and enclosure methods	3
A physics-inspired neural network for short-wave radiation parameterization	3
The problem of determining multiple coefficients in an ultrahyperbolic equation	3

The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method	3
Markov chain Monte Carlo methods applied to the stochastic inversion of 1D viscoelastic parameters	3
A uniqueness result for the inverse problem of identifying boundaries from weighted Radon transform	2
Fast multilevel iteration methods for solving nonlinear ill-posed problems	2
Determination of lower order perturbations of a polyharmonic operator in two dimensions	2
On an iterative fractional Tikhonov–Landweber method for ill-posed problems	2
Inverse problem for Sturm–Liouville operator with complex-valued weight and eigenparameter dependent boundary conditions	2
A rotation total variation regularization for full waveform inversion	2
Stability estimate for scalar image velocimetry	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
Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations	2
The inverse problem of heat conduction in the case of non-uniqueness: A functional identification approach	2
On the uniqueness theorems for transmission problems related to models of elasticity, diffusion and electrocardiography	2
Analytical solution of Stefan-type problems	2
Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium?	2
Frontmatter	1
Parameter identification for portfolio optimization with a slow stochastic factor	1
On stable parameter estimation and short-term forecasting with quantified uncertainty with application to COVID-19 transmission	1
Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation	1
Secant-type iteration for nonlinear ill-posed equations in Banach space	1
Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation	1
A dynamical method for optimal control of the obstacle problem	1
Legendre spectral projection methods for Fredholm integral equations of first kind	1
Imaging of mass distributions from partial domain measurement	1
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay	1
The group behavior analysis of the high-frequency traders based on Mean Field Games approach	1
Stability estimate and the Tikhonov regularization method for the Kuramoto–Sivashinsky equation backward in time	1
M. M. Lavrentiev-type systems and reconstructing parameters of viscoelastic media	1
Perturbation analysis of ????_1‒2 method for robust sparse recovery	1
Frontmatter	1
On finding a penetrable obstacle using a single electromagnetic wave in the time domain	1
Optimal convergence rates for inexact Newton regularization with CG as inner iteration	1
Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity	1
Ill-posed problems and the conjugate gradient method: Optimal convergence rates in the presence of discretization and modelling errors	1
Modified linear sampling method for inverse scattering by a partially coated dielectric	1
Regularization operators versus regularization strategies	1
Foreword to the Special Issue “Inverse Problems and Nonlinear Phenomena”	1
Tow-parameter quasi-boundary value method for a backward abstract time-degenerate fractional parabolic problem	1
Inverse problem for integro-differential Kelvin–Voigt equations	1
Reconstruction of local volatility surface from American options	1
Inverse scattering transform in two spatial dimensions for the N-wave interaction problem with a dispersive term	1
Two regularization methods for identifying the source term of Caputo–Hadamard type time fractional diffusion-wave equation	1
Frontmatter	1
Inverse parabolic problems of determining functions with one spatial-component independence by Carleman estimate	1
C-regularized solutions of ill-posed problems defined by strong strip-type operators	1
Artificial intelligence for COVID-19 spread modeling	1
Alternative fan-beam backprojection and adjoint operators	1
Interior reconstruction in tomography via prior support constrained compressed sensing	1
Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant	1
A new regularization for time-fractional backward heat conduction problem	1

Certain inverse uniqueness from the quotients of scattering coefficients	1
On the inverse gravimetry problem with minimal data	1
Frontmatter	1
Multi-coil MRI by analytic continuation	1