OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Inverse and Ill-Posed Problems is 2. 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 2020-05-01 to 2024-05-01.)

Article	Citations
On local and global structures of transmission eigenfunctions and beyond	30
Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation	21
A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data	18
Decentralized and parallel primal and dual accelerated methods for stochastic convex programming problems	16
Inverse problems for a conformable fractional Sturm–Liouville operator	14
Some features of solving an inverse backward problem for a generalized Burgers’ equation	13
Correlation of errors in inverse problems of optical coatings monitoring	12
Inverse extremum problem for a model of endovenous laser ablation	9
Numerical study of the stock market crises based on mean field games approach	9
Regularization of backward time-fractional parabolic equations by Sobolev-type equations	8
Geo-information system of tuberculosis spread based on inversion and prediction	8
Uniqueness and stability analysis of final data inverse source problems for evolution equations	7
An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions	7
The methods of dynamical reconstruction of an input in a system of ordinary differential equations	7
Inverse problem of Mueller polarimetry for metrological applications	6
On variational regularization: Finite dimension and Hölder stability	6
Microwave thermometry with potential application in non-invasive monitoring of hyperthermia	6
Global and local optimization in identification of parabolic systems	6
FEM-based Scalp-to-Cortex EEG data mapping via the solution of the Cauchy problem	6
On the EIT problem for nonorientable surfaces	6
Differential evolution algorithm of solving an inverse problem for the spatial Solow mathematical model	5
Sampling in thermoacoustic tomography	5
Asymptotic solution of the inverse problem for restoring the modular type source in Burgers’ equation with modular advection	5
Inverse spectral problems for differential operators with non-separated boundary conditions	5
Simultaneously identifying the thermal conductivity and radiative coefficient in heat equation from Dirichlet and Neumann boundary measured outputs	5

On the Hochstadt–Lieberman problem for the Dirac operator with discontinuity	5
Machine learning based data retrieval for inverse scattering problems with incomplete data	5
An identification problem involving fractional differential variational inequalities	5
A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation	5
Partial inverse problems for quadratic differential pencils on a graph with a loop	4
Method for solving inverse spectral problems on quantum star graphs	4
The factorization and monotonicity method for the defect in an open periodic waveguide	4
Inverse problems in analysis of input-output model in the class of CES functions	4
Joint inversion of high-frequency induction and lateral logging sounding data in earth models with tilted principal axes of the electrical resistivity tensor	4
Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations	4
An inverse problem for Moore–Gibson–Thompson equation arising in high intensity ultrasound	4
Inverse source problem for the abstract fractional differential equation	4
Inverting the variable fractional order in a variable-order space-fractional diffusion equation with variable diffusivity: analysis and simulation	4
A primal-dual approach for the Robin inverse problem in a nonlinear elliptic equation: The case of the ?¹ − ?² cost functional	4
Inverse problem with final overdetermination for time-fractional differential equation in a Banach space	4
Inverse problem for integro-differential Kelvin–Voigt equations	3
Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network	3
A comparative study of variational autoencoders, normalizing flows, and score-based diffusion models for electrical impedance tomography	3
Inverse coefficient problems and fast automatic differentiation	3
Imaging of bi-anisotropic periodic structures from electromagnetic near-field data	3
On an iterative fractional Tikhonov–Landweber method for ill-posed problems	3
Legendre spectral projection methods for Fredholm integral equations of first kind	3
Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional	3
Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term	3
Features of solving the direct and inverse scattering problems for two sets of monopole scatterers	3
Inverse problem for the Atangana–Baleanu fractional differential equation	3
Guided image filtering based ℓ₀ gradient minimization for limited-angle CT image reconstruction	3
Agent-based mathematical model of COVID-19 spread in Novosibirsk region: Identifiability, optimization and forecasting	3
Convergence of a series associated with the convexification method for coefficient inverse problems	3
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	3
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay	2
Soliton orthogonal frequency division multiplexing with phase–frequency coding on the base of inverse scattering transform	2
A data and knowledge driven approach for SPECT using convolutional neural networks and iterative algorithms	2
Possibilities for separation of scalar and vector characteristics of acoustic scatterer in tomographic polychromatic regime	2
The fluid-solid interaction scattering problem with unknown buried objects	2
Error estimates for the iteratively regularized Newton–Landweber method in Banach spaces under approximate source conditions	2
Recovering a time-dependent potential function in a multi-term time fractional diffusion equation by using a nonlinear condition	2
Direct and inverse scalar scattering problems for the Helmholtz equation in ℝ^m	2
Detection of velocity and attenuation inclusions in the medical ultrasound tomography	2
Nonlinear dynamics of pulsating detonation wave with two-stage chemical kinetics in the shock-attached frame	2
A class of inverse problems for fractional order degenerate evolution equations	2
Conditional stability in a backward Cahn–Hilliard equation via a Carleman estimate	2
A hypersurface containing the support of a Radon transform must be an ellipsoid. II: The general case	2
Approximate Lipschitz stability for phaseless inverse scattering with background information	2
On the clustering of stationary points of Tikhonov’s functional for conditionally well-posed inverse problems	2
Stability estimates for reconstruction from the Fourier transform on the ball	2
Space-time finite element method for determination of a source in parabolic equations from boundary observations	2
Multichannel impedance inversion in the frequency domain via anisotropic total variation with overlapping group sparsity regularization	2
Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients	2
Regularization of the backward stochastic heat conduction problem	2

Convergence analysis of iteratively regularized Gauss–Newton method with frozen derivative in Banach spaces	2
On mixed and transverse ray transforms on orientable surfaces	2
The mean field games system: Carleman estimates, Lipschitz stability and uniqueness	2
Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium?	2
Regularization with metric double integrals for vector tomography	2