OOIR: Observatory of International Research

Papers

(The median citation count 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 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
Inverse problems for a conformable fractional Sturm–Liouville operator	14
Decentralized and parallel primal and dual accelerated methods for stochastic convex programming problems	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
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
Geo-information system of tuberculosis spread based on inversion and prediction	8
An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions	7
Regularization of backward time-fractional parabolic equations by Sobolev-type equations	7
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
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 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
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 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
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
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
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
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
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
Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. Part I: Carleman estimates	1
Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model	1
Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations	1
Research biography of a distinguished expert in the field of inverse problems: Professor Michael Victor Klibanov	1
Robin–Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain	1
On unique determination of an unknown spatial load in damped Euler–Bernoulli beam equation from final time output	1
Source recovery with a posteriori error estimates in linear partial differential equations	1
Regularization of a continuation problem for electrodynamic equations	1
A dynamical method for optimal control of the obstacle problem	1
Identification of an unknown flexural rigidity of a cantilever Euler–Bernoulli beam from measured boundary deflection	1
Optimal convergence rates for inexact Newton regularization with CG as inner iteration	1
Parameter identification for portfolio optimization with a slow stochastic factor	1
A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method	1
Stability and the inverse gravimetry problem with minimal data	1
Detection of velocity and attenuation inclusions in the medical ultrasound tomography	1
On mixed and transverse ray transforms on orientable surfaces	1
A posteriori choice of time-discretization step in finite difference methods for solving ill-posed Cauchy problems in Hilbert space	1
Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces	1
Global stability result for parabolic Cauchy problems	1
Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory	1
Three-dimensional transient electromagnetic inversion with optimal transport	1
Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions	1
Stability in ?^?-norm for inverse source parabolic problems	1
Extract the information from big data with randomly distributed noise	1
Weighted sparsity regularization for source identification for elliptic PDEs	1
Hadamard’s example and solvability of the mixed Cauchy problem for the multidimensional Gellerstedt equation	1
Stability for the electromagnetic inverse source problem in inhomogeneous media	1
Convergence analysis of a variational quasi-reversibility approach for an inverse hyperbolic heat conduction problem	1
Block Toeplitz Inner-Bordering method for the Gelfand–Levitan–Marchenko equations associated with the Zakharov–Shabat system	1
Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models	1
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion	1
Extracting discontinuity using the probe and enclosure methods	1
Direct and inverse problems for time-fractional heat equation generated by Dunkl operator	1
Parameter estimation for a chaotic dynamical system with partial observations	1
A fast multilevel iteration method for solving linear ill-posed integral equations	1
Alternating minimization methods for strongly convex optimization	1
Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant	1
A comparative study of variational autoencoders, normalizing flows, and score-based diffusion models for electrical impedance tomography	1
Convexity properties of the normalized Steklov zeta function of a planar domain	1
A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation	1
Alternative fan-beam backprojection and adjoint operators	1
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	1
Fixed angle inverse scattering in the presence of a Riemannian metric	1
Foreword to the Special Issue “Inverse Problems and Nonlinear Phenomena”	1
The Sommerfeld problem and inverse problem for the Helmholtz equation	1
Inverse source problem for a generalized Korteweg–de Vries equation	1
Inverse problems of identifying the unknown transverse shear force in the Euler–Bernoulli beam with Kelvin–Voigt damping	1
On dynamical input reconstruction in a distributed second order equation	1
Reconstruction algorithm of 3D surface in scanning electron microscopy with backscattered electron detector	1
C-regularized solutions of ill-posed problems defined by strong strip-type operators	1
Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate	1
Determination of unknown shear force in transverse dynamic force microscopy from measured final data	1
The inverse problem of recovering the coefficients of a differential equations on a graph	1
Recovery of the time-dependent implied volatility of time fractional Black–Scholes equation using linearization technique	1
On the recovery of internal source for an elliptic system by neural network approximation	1