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 2020-03-01 to 2024-03-01.)

Article	Citations
A time delay dynamical model for outbreak of 2019-nCoV and the parameter identification	78
On local and global structures of transmission eigenfunctions and beyond	28
Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation	20
A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data	17
Decentralized and parallel primal and dual accelerated methods for stochastic convex programming problems	14
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
Direct and inverse source problems for degenerate parabolic equations	11
Geo-information system of tuberculosis spread based on inversion and prediction	8
Numerical study of the stock market crises based on mean field games approach	8
Inverse extremum problem for a model of endovenous laser ablation	8
Regularization of backward time-fractional parabolic equations by Sobolev-type equations	7
An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions	7
FEM-based Scalp-to-Cortex EEG data mapping via the solution of the Cauchy problem	6
Uniqueness and stability analysis of final data inverse source problems for evolution equations	6
Inverse problem of Mueller polarimetry for metrological applications	6
On the EIT problem for nonorientable surfaces	6
Microwave thermometry with potential application in non-invasive monitoring of hyperthermia	6
The methods of dynamical reconstruction of an input in a system of ordinary differential equations	6
On variational regularization: Finite dimension and Hölder stability	6
Differential evolution algorithm of solving an inverse problem for the spatial Solow mathematical model	5
Machine learning based data retrieval for inverse scattering problems with incomplete data	5
A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation	5
Global and local optimization in identification of parabolic systems	5

Inverse spectral problems for differential operators with non-separated boundary conditions	5
An identification problem involving fractional differential variational inequalities	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
Simultaneously identifying the thermal conductivity and radiative coefficient in heat equation from Dirichlet and Neumann boundary measured outputs	5
An inverse problem of triple-thickness parameters determination for thermal protective clothing with Stephan–Boltzmann interface conditions	5
Regularization of the backward stochastic heat conduction problem	5
Inverse problem with final overdetermination for time-fractional differential equation in a Banach space	4
Inverse problem for the Atangana–Baleanu 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 problems in analysis of input-output model in the class of CES functions	4
Inverse source problem for the abstract fractional differential equation	4
On the Hochstadt–Lieberman problem for the Dirac operator with discontinuity	4
An inverse problem for Moore–Gibson–Thompson equation arising in high intensity ultrasound	4
Uniqueness for the inverse fixed angle scattering problem	4
Partial inverse problems for quadratic differential pencils on a graph with a loop	4
The factorization and monotonicity method for the defect in an open periodic waveguide	4
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
Solving a backward problem for a distributed-order time fractional diffusion equation by a new adjoint technique	3
Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations	3
Joint inversion of high-frequency induction and lateral logging sounding data in earth models with tilted principal axes of the electrical resistivity tensor	3
Method for solving inverse spectral problems on quantum star graphs	3
Convergence of a series associated with the convexification method for coefficient inverse problems	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
Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network	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
Approximate Lipschitz stability for phaseless inverse scattering with background information	3
Local solvability and stability of the generalized inverse Robin–Regge problem with complex coefficients	2
A hypersurface containing the support of a Radon transform must be an ellipsoid. II: The general case	2
Convergence analysis of iteratively regularized Gauss–Newton method with frozen derivative in Banach spaces	2
Uniqueness and stability for inverse source problem for fractional diffusion-wave equations	2
Recovering a time-dependent potential function in a multi-term time fractional diffusion equation by using a nonlinear condition	2
On the clustering of stationary points of Tikhonov’s functional for conditionally well-posed inverse problems	2
Direct and inverse scalar scattering problems for the Helmholtz equation in ℝ^m	2
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay	2
Multichannel impedance inversion in the frequency domain via anisotropic total variation with overlapping group sparsity regularization	2
Inverse coefficient problems and fast automatic differentiation	2
Conditional stability in a backward Cahn–Hilliard equation via a Carleman estimate	2
A data and knowledge driven approach for SPECT using convolutional neural networks and iterative algorithms	2
Error estimates for the iteratively regularized Newton–Landweber method in Banach spaces under approximate source conditions	2
Stability estimates for reconstruction from the Fourier transform on the ball	2
Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium?	2
Guided image filtering based ℓ₀ gradient minimization for limited-angle CT image reconstruction	2
Nonlinear dynamics of pulsating detonation wave with two-stage chemical kinetics in the shock-attached frame	2
Soliton orthogonal frequency division multiplexing with phase–frequency coding on the base of inverse scattering transform	2
A class of inverse problems for fractional order degenerate evolution equations	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
The mean field games system: Carleman estimates, Lipschitz stability and uniqueness	2
Regularization with metric double integrals for vector tomography	2
Inverse problem for integro-differential Kelvin–Voigt equations	2
Space-time finite element method for determination of a source in parabolic equations from boundary observations	2
Agent-based mathematical model of COVID-19 spread in Novosibirsk region: Identifiability, optimization and forecasting	2