Width Optimization of Array Electrode for Human Lung Electrical Resistance Tomography System Based on prior Knowledge by Liqing Xiao

“…In electrical resistance tomography (ERT) technology for human lung, under the same experimental conditions, the width of the sensitive field boundary electrode has a significant impact on the calculation accuracy of the inverse problem besides the finite element model (FEM) topology. …”
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Algorithm for Searching Inhomogeneities in Inverse Nonlinear Diffraction Problems by A. O. Lapich, M. Y. Medvedik

“…This study aims to solve the inverse problem for determining the heterogeneity of an object. …”
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The Method Based on Series Solution for Identifying an Unknown Source Coefficient on the Temperature Field in the Quasiperiodic Media by Bingxian Wang, Chuanzhi Bai, M. Xu, L. P. Zhang

“…The innovation of this paper is solving the inverse problem by means of two different homotopy iteration processes. …”
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Alternating Projections Filtering Algorithm to Track Moving Objects by Youssef Qranfal

“…This is an ill-posed inverse problem. Methods, such as Kalman filter (KF), have been devised to extract the time-varying quantities of interest. …”
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Extraction of Weak Scatterer Features Based on Multipath Exploitation in Radar Imagery by Muhannad Almutiry, Lorenzo Lo Monte, Michael C. Wicks

“…Improving the quantity of the prediction, including multipath scattering effects (neglected under the Born approximation), allows us to solve the inverse problem. The multiple bounce (multipath) scattering effect is the interaction of more than one target in the scene. …”
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Semi-Idealized Study on Estimation of Partly and Fully Space Varying Open Boundary Conditions for Tidal Models by Jicai Zhang, Haibo Chen

“…The effect of ill-posedness of inverse problem will be amplified if the observations contain noises. …”
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On fast reconstruction of periodic structures with partial scattering data by John Daugherty, Nate Kaduk, Elena Morgan, Dinh-Liem Nguyen, Peyton Snidanko, Trung Truong

“…This paper presents a numerical method for solving the inverse problem of reconstructing the shape of periodic structures from scattering data. …”
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Identification of aquifer heterogeneity through inverse methods by Ackerer, Philippe, Carrera, Jesus, Delay, Frédérick

“…GdM developed seminal ideas for the two key inversion issues that are: to stabilize the inverse problem through regularization, and to parameterize it to reproduce the natural heterogeneity of the subsurface with a limited number of parameters. …”
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Explicit scheme based on integral transforms for estimation of source terms in diffusion problems in heterogeneous media by André José Pereira de Oliveira, Luiz Alberto da Silva Abreu, Diego Campos Knupp

“…Additionally, an initial interpolation of the sensor data is proposed for each observation time, making the inverse problem computationally lighter. The solutions of the inverse problem exhibit optimal performance, even with noisy input data and sources with abrupt discontinuities. …”
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Cohomology of the variational complex in the class of exterior forms of finite jet order by Gennadi Sardanashvily

“…In particular, this provides a solution of the global inverse problem of the calculus of variations of finite order on fiber bundles.…”
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Parameter Estimation for the One-Term (Multiterm) Fractional-Order SEIAR Models of Norovirus Outbreak by Tianzeng Li, Yu Wang, Weiqiu Pan

“…In the paper, we use the Caputo fractional derivative to consider general single-term and multiterm fractional-order SEIAR models for the outbreak of Norovirus. Then, the inverse problem about parameter estimation for these fractional-order SEIAR models of the Norovirus outbreak is studied firstly. …”
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SPECIALIZING OF THE HEAT TRANSFER COEFFICIENTS FOR SOLUTION OF THE PROBLEM OF THE CYLINDRICAL UNINTERRUPTEDLY-CASTED SLUGS SOLIDIFICATION WITH USING OF EXPERIMENTAL TEMPERATURE DAT... by A. M. Branovitski, Ju. L. Stanulenis, Ju. A. Lebedinski

“…The article is dedicated to solving of inverse problem of heat conduction. The simple procedure of searching of the heat transfer coefficients for cylindrical casting on the basis of solution of two-dimensional equation of heat transmission is offered.…”
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Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions by Fatma Kanca

“…This paper investigates the inverse problem of finding a time-dependent diffusion coefficient in a parabolic equation with the periodic boundary and integral overdetermination conditions. …”
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Multipole Theory and Algorithms for Target Support Estimation by Edwin A. Marengo

“…The inverse problem of estimating the smallest region of localization (minimum source region) of a source or scatterer that can produce a given radiation or scattered field is investigated with the help of the multipole expansion. …”
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Uncertainty quantification of CT regularized reconstruction within the Bayesian framework by Negin Khoeiniha, Patricio Guerrero, Wim Dewulf

“… Computed Tomography (CT) reconstruction is an important inverse problem in industrial imaging, requiring robust methods to address different sources of error in the data and model. …”
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Identification of a Non-Linear Landing Gear Model Using Nature-Inspired Optimization by Felipe A.C. Viana, Valder Steffen Jr., Marcelo A.X. Zanini, Sandro A. Magalhães, Luiz C.S. Góes

“…This work deals with the application of a nature-inspired optimization technique to solve an inverse problem represented by the identification of an aircraft landing gear model. …”
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Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography by Kiwoon Kwon

“…Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. …”
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Regions of Central Configurations in a Symmetric 4 + 1-Body Problem by Muhammad Shoaib

“…The inverse problem of central configuration of the trapezoidal 5-body problems is investigated. …”
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A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation by Li Yao, Yun-Jie Yang, Xing-Wei Zhou

“…Ji-Huan He systematically studied the inverse problem of calculus of variations. This note reveals that the semi-inverse method also works for a generalized KdV-mKdV equation with nonlinear terms of any orders.…”
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Composition, Non‐Commutativity, and Vector Decompositions of Finite Rotations by François Dubeau

“…We conclude the paper by considering the inverse problem namely finding the axis of rotation and the angle of rotation from its effect on vectors.…”
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