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 2022-08-01 to 2026-08-01.)

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
A weakly inhomogeneous vibrating membrane and the solotone effect in two dimensions	10
Error estimates for simplified Levenberg–Marquardt method for nonlinear ill-posed operator equations in Hilbert spaces	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
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
The game model with multi-task for image denoising and edge extraction	6
Stability estimate for the time-dependent source function component of parabolic equations with coefficients dependent on space and time variables	5
On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem	5
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
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
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
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
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
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
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
Alternative fan-beam backprojection and adjoint operators	1
An inverse problem for non-selfadjoint Dirac operator with transmission conditions at finite interior points	1
Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation	1
Binary sparse signal recovery with binary least squares	1
A dynamical method for optimal control of the obstacle problem	1
Alternating algorithms applied to Cauchy problems for a fractional elliptic equation with fractional-order boundary conditions	1
Interior reconstruction in tomography via prior support constrained compressed sensing	1
Frontmatter	1
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay	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
Method for solving inverse spectral problems on quantum star graphs	1
PSWF-Radon approach to reconstruction from band-limited Hankel transform	1
A comparative study of variational autoencoders, normalizing flows, and score-based diffusion models for electrical impedance tomography	1
On the stability of a time-dependent source identification problem for a Schrödinger-type involutory differential equation	1
Acquiring elastic properties of thin composite structure from vibrational testing data	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
Certain inverse uniqueness from the quotients of scattering coefficients	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
Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity	1
Fast iterative regularization by reusing data	1
On the Cauchy problems for the Poisson equations with operator coefficients	1
ECALL: Estimation-calibrated learning for joint deconvolution and kernel inference from unpaired data	1
Ill-posed problems and the conjugate gradient method: Optimal convergence rates in the presence of discretization and modelling errors	1
A layer stripping method for numerical solution of the GPR problem in a layered medium	1
Inverse problem for integro-differential Kelvin–Voigt equations	1
Modified linear sampling method for inverse scattering by a partially coated dielectric	1
Continuation problems: Theory, numerics, neural networks and applications	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