Relevant bibliographies by topics / Direct and inverse-Problem solving

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Direct and inverse-Problem solving'

Author: Grafiati
Published: 8 February 2025

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Journal articles on the topic "Direct and inverse-Problem solving"

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Sorokin, S. B. "Direct method for solving the inverse coefficient problem." Sibirskii zhurnal industrial'noi matematiki 24, no. 2 (June 18, 2021): 134–47. http://dx.doi.org/10.33048/sibjim.2021.24.211.

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Nikitin, A. V., L. V. Mikhaylov, A. V. Mikhaylov, Yu L. Gobov, V. N. Kostin, and Ya G. Smorodinskii. "Reconstruction of the shape of a flaw in ferromagnetic plate by solving inverse problem of magnetostatics and series of direct problems." Defektoskopiâ, no. 9 (October 2, 2024): 67–72. http://dx.doi.org/10.31857/s0130308224090086.

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The article presents a verification technique for solving the inverse geometric problem of magnetostatics in a soft magnetic ferromagnet plate. The technique involves solving a number of direct problems, in which the shape of the defect obtained by solving the inverse geometric problem of magnetostatics is used as a first approximation, and then increasing or decreasing the depth of the defect without changing the shape of the boundary surface — comparing the topographies of the magnetic field components obtained during measurements above the plate surface and calculated (as a result of solving the direct problem) at the same points of the components of the magnetic stray field from the reconstructed three-dimensional defect. As a result of applying the technique, the geometric parameters of the defect under study can also be refined. Obtaining the initial conditions for solving the inverse problem and solving direct problems of magnetostatics is carried out using the finite element method in the ELMER program. The technique works with one-sided access to any surface of the plate (a defect-free surface or a surface with a defect).
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Xue, Qi Wen, Xiu Yun Du, and Ga Ping Wang. "Solving the Inverse Heat Conduction Problem with Multi-Variables." Advanced Materials Research 168-170 (December 2010): 195–99. http://dx.doi.org/10.4028/www.scientific.net/amr.168-170.195.

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This paper presents a general numerical model to solve non-linear inverse heat conduction problems with multi-variables which include thermal parameters and boundary conditions, and can be identified singly or simultaneously. The direct problems are numerically modeled via FEM, facilitating to sensitivity analysis that is required in solving inverse problems via a least-square based CGM (Conjugate Gradient Method). Inhomogeneous distribution of parameters is considered, and a number of numerical examples are given to illustrate the work proposed.
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Kravchenko, Vladislav V., and Lady Estefania Murcia-Lozano. "An Approach to Solving Direct and Inverse Scattering Problems for Non-Selfadjoint Schrödinger Operators on a Half-Line." Mathematics 11, no. 16 (August 16, 2023): 3544. http://dx.doi.org/10.3390/math11163544.

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In this paper, an approach to solving direct and inverse scattering problems on the half-line for a one-dimensional Schrödinger equation with a complex-valued potential that is exponentially decreasing at infinity is developed. It is based on a power series representation of the Jost solution in a unit disk of a complex variable related to the spectral parameter by a Möbius transformation. This representation leads to an efficient method of solving the corresponding direct scattering problem for a given potential, while the solution to the inverse problem is reduced to the computation of the first coefficient of the power series from a system of linear algebraic equations. The approach to solving these direct and inverse scattering problems is illustrated by several explicit examples and numerical testing.
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Askerbekova, J. A. "NUMERICAL ALGORITHM FOR SOLVING THE CONTINUATION PROBLEM FOR THE ACOUSTIC EQUATION." BULLETIN Series of Physics & Mathematical Sciences 70, no. 2 (June 30, 2020): 7–13. http://dx.doi.org/10.51889/2020-2.1728-7901.01.

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In this paper we consider the initial-boundary value problem for the acoustics equation in the temporal-triangular domain. We reduce the original ill-posed problem to an equivalent inverse problem with respect to some direct problem. This direct problem is well-posed. The inverse problem is replaced by a minimization problem. An algorithm for solving the inverse problem by the Landweber iteration method is constructed. We apply the method of successive approximations to the equation, we obtain a natural extension to nonlinear problems. This method leads to optimal convergence rate in certain cases. An analysis of the iterative Landweber method for nonlinear problems depends on the source conditions and additional conditions. Convergence analysis and error estimates are usually made with many assumptions, which are very difficult to verify from a practical point of view. This method leads to optimal convergence rate under certain conditions. Theoretical analysis is confirmed by numerical results. Visual examples are processed numerically.
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Oyama, Eimei, Taro Maeda, and Susumu Tachi. "A human system learning model for solving the inverse kinematics problem by direct inverse modeling." Systems and Computers in Japan 27, no. 8 (1996): 53–68. http://dx.doi.org/10.1002/scj.4690270805.

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Chmielowska, Agata, Rafał Brociek, and Damian Słota. "Reconstructing the Heat Transfer Coefficient in the Inverse Fractional Stefan Problem." Fractal and Fractional 9, no. 1 (January 16, 2025): 43. https://doi.org/10.3390/fractalfract9010043.

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This paper presents an algorithm for solving the inverse fractional Stefan problem. The considered inverse problem consists of determining the heat transfer coefficient at one of the boundaries of the considered region. The additional information necessary for solving the inverse problem is the set of temperature values in selected points of the region. The fractional derivative with respect to time used in the considered Stefan problem is of the Caputo type. The direct problem was solved by using the alternating phase truncation method adapted to the model with the fractional derivative. To solve the inverse problem, the ant colony algorithm was used. This paper contains an example illustrating the accuracy and stability of the presented algorithm.
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Temirbekov, N. М., S. I. Kabanikhin, L. N. Тemirbekova, and Zh E. Demeubayeva. "Gelfand-Levitan integral equation for solving coefficient inverse problem." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 85, no. 3 (September 15, 2022): 158–67. http://dx.doi.org/10.47533/2020.1606-146x.184.

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In this paper, numerical methods for solving multidimensional equations of hyperbolic type by the Gelfand-Levitan method are proposed and implemented. The Gelfand-Levitan method is one of the most widely used in the theory of inverse problems and consists in reducing a nonlinear inverse problem to a one-parameter family of linear Fredholm integral equations of the first and second kind. In the class of generalized functions, the initial-boundary value problem for a multidimensional hyperbolic equation is reduced to the Goursat problem. Discretization and numerical implementation of the direct Goursat problem are obtained to obtain additional information for solving a multidimensional inverse problem of hyperbolic type. For the numerical solution, a sequence of Goursat problems is used for each giveny. A comparative analysis of numerical experiments of the two-dimensional Gelfand-Levitan equation is performed. Numerical experiments are presented in the form of tables and figures for various continuous functions q(x, y).
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Shishlenin, M. A., N. S. Novikov, and D. V. Klyuchinskiy. "On the recovering of acoustic attenuation in 2D acoustic tomography." Journal of Physics: Conference Series 2099, no. 1 (November 1, 2021): 012046. http://dx.doi.org/10.1088/1742-6596/2099/1/012046.

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Abstract The inverse problem of recovering the acoustic attenuation in the inclusions inside the human tissue is considered. The coefficient inverse problem is formulated for the first-order system of PDE. We reduce the inverse problem to the optimization of the cost functional by gradient method. The gradient of the functional is determined by solving a direct and conjugate problem. Numerical results are presented.
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Durdiev, D. K., and J. Z. Nuriddinov. "On investigation of the inverse problem for a parabolic integro-differential equation with a variable coefficient of thermal conductivity." Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 30, no. 4 (December 2020): 572–84. http://dx.doi.org/10.35634/vm200403.

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The inverse problem of determining a multidimensional kernel of an integral term depending on a time variable $t$ and $ (n-1)$-dimensional spatial variable $x'=\left(x_1,\ldots, x_ {n-1}\right)$ in the $n$-dimensional heat equation with a variable coefficient of thermal conductivity is investigated. The direct problem is the Cauchy problem for this equation. The integral term has the time convolution form of kernel and direct problem solution. As additional information for solving the inverse problem, the solution of the direct problem on the hyperplane $x_n = 0$ is given. At the beginning, the properties of the solution to the direct problem are studied. For this, the problem is reduced to solving an integral equation of the second kind of Volterra-type and the method of successive approximations is applied to it. Further the stated inverse problem is reduced to two auxiliary problems, in the second one of them an unknown kernel is included in an additional condition outside integral. Then the auxiliary problems are replaced by an equivalent closed system of Volterra-type integral equations with respect to unknown functions. Applying the method of contraction mappings to this system in the Hölder class of functions, we prove the main result of the article, which is a local existence and uniqueness theorem of the inverse problem solution.
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Dissertations / Theses on the topic "Direct and inverse-Problem solving"

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Abdelaziz, Batoul. "Direct algorithms for solving some inverse source problems." Thesis, Compiègne, 2014. http://www.theses.fr/2014COMP1956/document.

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Cette thèse traite de problèmes inverses de sources dans deux cas : les sources fixes en 2D et 3D équations elliptiques et une source non-stationnaire dans une équation de diffusion. Dans le cadre de ce travail, nous considérons des sources ponctuelles (monopôles, dipôles et sources multipolaires) et des sources ayant support compact dans un nombre fini de petits sous-domaines qui modèlent les sources dans les problèmes EEG/MEG et le problème de tomographie par bioluminescence (BLT). Le but de cette thèse est de proposer des méthodes d’identification robustes qui permettent de déterminer leur nombre, leurs intensités et leurs positions. Des méthodes algébriques directes sont utilisées pour identifier les sources fixes et une méthode quasi-algébrique mélangée avec un problème d’optimisation est utilisé pour récupérer les sources avec des intensités variables dans le temps. Des résultats numériques sont effectués afin de mettre en évidence la robustesse de nos algorithmes d’identification
This thesis deals with inverse source problems in 2 cases : stationary sources in 2D and 3D elliptic equations and a non-stationary source in a diffusion equation. the main form of sources considered are pointwise sources (monopoles, dipoles and multipolar sources) having compact support within a finite number of small subdomains modeling EEG/MEG problems and Bioluminescence Tomography (BLT) problems. The purpose o this thesis is mainly to propose robust identification methods that enable us to reconstruct the number, the intensity and the location of the sources. Direct algebraic methods are used to identify the stationary siurces and a quasi-algebraic method mixed with an optimieation method is employed to recover sources with time-variable intensities. Numerical results are shown to prove the robustness of our identification algorithms
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Christofori, Pamela. "The effect of direct instruction math curriculum on higher-order problem solving." [Tampa, Fla.] : University of South Florida, 2005. http://purl.fcla.edu/fcla/etd/SFE0001287.

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Lesnic, Daniel. "Boundary element methods for solving steady potential flow problems and direct and inverse unsteady heat conduction problems." Thesis, University of Leeds, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.404773.

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Manoochehrnia, Pooyan. "Characterisatiοn οf viscοelastic films οn substrate by acοustic micrοscοpy. Direct and inverse prοblems." Electronic Thesis or Diss., Normandie, 2024. http://www.theses.fr/2024NORMLH38.

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Dans le cadre de cette thèse de doctorat, la caractérisation des films épais et minces déposés sur un substrat a été réalisée à l'aide de la microscopie acoustique via des algorithmes de résolution de problèmes directs et inverses. La méthode de Strohm est utilisée pour la résolution directe des problèmes, tandis qu'une variété de modèles mathématiques comprenant le modèle de la série de Debye (DSM), le modèle de la ligne de transmission (TLM) et la méthode spectrale utilisant le modèle de la rapport entre les réflexions multiples (MRM) ont été utilisés pour résoudre les problèmes inverses. Une application spécifique de la microscopie acoustique a été utilisée, consistant à monter des transducteurs à ondes planes à haute fréquence (50 MHz et 200 MHz) au lieu d'utiliser les transducteurs à focalisation traditionnels utilisés pour l'imagerie acoustique, ainsi qu'à utiliser le A-Scan à ondes complètes, qui pourrait être étendu à l'analyse en vrac des A-Scan consécutifs. Les modèles ont été validés expérimentalement par un film épais en époxy-résine d'une épaisseur d'environ 100μm et un film mince en vernis d'environ 8μm. Les paramètres caractérisés comprennent des paramètres mécaniques (par exemple la densité et l'épaisseur) ainsi que des paramètres viscoélastiques (par exemple la vitesse longitudinale acoustique et l'atténuation acoustique) et parfois le déphasage du transducteur
In the framework of this PhD thesis, the characterisation of the thick and thin films deposited on asubstrate has been done using acoustic microscopy via direct and inverse problem-solving algorithms.Namely the Strohm’s method is used for direct problem-solving while a variety of mathematical modelsincluding Debye series model (DSM), transmission line model (TLM) and spectral method using ratiobetween multiple reflections model (MRM) have been used to solve inverse-problem. A specificapplication of acoustic microscopy has been used consisting of mounting the plane-wave high frequency(50 MHz and 200MHz) transducers instead of use of the traditional focus transducers used for acousticimaging as well as using full-wave A-scan which could be well extended to bulk analysis of consecutivescans. Models have been validated experimentally by a thick film made of epoxy-resin with thicknessof about 100μm and a thin film made of polish of about 8μm. The characterised parameters includemechanical parameters (e.g. density and thickness) as well as viscoelastic parameters (e.g. acousticlongitudinal velocity and acoustic attenuation) and occasionally transducer phase-shift
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Lopez, Lurdes. "HELPING AT-RISK STUDENTS SOLVE MATHEMATICAL WORD PROBLEMS THROUGH THE USE OF DIRECT INSTRUCTION AND PROBLEM SOLVING STRATEGIES." Master's thesis, University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3193.

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This action research study examined the influence mathematical strategies had on middle school students' mathematical ability. The purpose of this action research study was to observe students mathematical abilities and to investigate whether teaching students problem-solving strategies in mathematics will enhance student's mathematical thinking and their ability to comprehend and solve word problems. The study took place in an urban school in Orlando, Florida in the fall of 2004. The subjects will be 12 eighth grade students assigned to my intensive math class. Quantitative data was collected. Students' took a pre and post test designed to measure and give students practice on mathematical skills. Students worked individually on practice problems, answered questions daily in their problem solving notebook and mathematics journals. Results showed the effectiveness of the use of direct instruction and problem-solving strategies on at-risk students. 
M.Ed.
Other
Graduate Studies;
K-8 Math and Science MEd
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Lee, Jeanette W. "The effectiveness of a novel direct instructional approach on math word problem solving skills of elementary students with learning disabilities." The Ohio State University, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=osu1298983286.

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Li, Xiaobei. "Instrumentation and inverse problem solving for impedance imaging /." Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/5973.

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Kang, Sangwoo. "Direct sampling method in inverse electromagnetic scattering problem." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS417/document.

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Le problème de l'imagerie non itérative dans le cadre de la diffraction électromagnétique inverse utilisant la méthode d'échantillonnage direct (DSM) est considéré. Grâce à une combinaison de l'expression asymptotique du champ proche ou du champ lointain diffracté et de l'hypothèse de petits obstacles, les expressions analytiques de la fonction d'indicateur DSM sont présentées dans diverses configurations telles que des configurations 2D/3D, mono-/multi-configurations statiques, à vue limitée/complète et fréquence unique/ diversité en fréquence. Une fois l'expression analytique obtenue, sa structure est analysée et des améliorations proposées. Notre approche est validée à l’aide de données de simulation, et d’expériences le cas échéant. Premièrement, la structure mathématique du DSM à fréquence fixe en 2D dans divers problèmes de diffusion est établie, permettant une analyse théorique de son efficacité et de ses limites. Pour surmonter les limitations connues, une méthode alternative d'échantillonnage direct (DSMA) est proposée. Puis le cas multi-fréquence est investigué en introduisant et en analysant le DSM multi-fréquence (MDSM) et le DSMA multi-fréquence (MDSMA). Enfin, notre approche est étendue aux problèmes de diffraction électromagnétique inverse 3D pour lesquels le choix de la polarisation du dipôle de test est un paramètre clé. De par notre approche analytique, ce choix peut être effectué sur la base de la polarisation du champ incident
The non-iterative imaging problem within the inverse electromagnetic scattering framework using the direct sampling method (DSM) is considered. Thanks to the combination of the asymptotic expression of the scattered near-field or far-field and of the small obstacle hypothesis the analytical expressions of the DSM indicator function are presented in various configurations such as 2D/3D configurations and/or mono-/multi-static configurations and/or limited-/full-view case and/or mono-/multi-frequency case. Once the analytical expression obtained, its structure is analyzed and improvements proposed. Our approach is validated using synthetic data and experimental ones when available. First, the mathematical structure of DSM at a fixed frequency in 2D various scattering problems is established allowing a theoretical analysis of its efficiency and limitations. To overcome the known limitations an alternative direct sampling method (DSMA) is proposed. Next, the multi-frequency case is investigated by introducing and analyzing the multi-frequency DSM (MDSM) and the multi-frequency DSMA (MDSMA).Finally, our approach is extended to 3D inverse electromagnetic scattering problems for which the choice of the polarization of the test dipole is a key parameter. Thanks to our analytical analysis it can be made based on the polarization of the incident field
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MacNeil, Toinette. "An LP approach to solving the inverse problem of electrocardiography." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0021/MQ57220.pdf.

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Hilal, Mohammed Azeez. "Domain decomposition like methods for solving an electrocardiography inverse problem." Thesis, Nantes, 2016. http://www.theses.fr/2016NANT4060.

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L’objectif de cette thèse est d’étudier un problème électrocardiographique (ECG), modélisant l’activité électrique cardiaque en utilisant un modèle bidomaine stationnaire. Deux types de modélisation sont considérées : la modélisation basée sur un modèle mathématique directe et la modélisation basée sur un problème inverse de Cauchy. Dans le premier cas, le problème directe est résolu en utilisant la méthode de décomposition de domaine et l’approximation par la méthode des éléments finis. Dans le deuxième cas le problème inverse de Cauchy de l’ECG a été reformulé en un problème de point fixe. Puis, un résultat d’existence et l’unicité du point fixe basé sur les degrés topologique de Leray-Schauder a été démontré. Ensuite, quelques algorithmes itératifs régularisant et stables basés sur les techniques de décomposition de domaine ont été développés. Enfin, l’efficacité et la précision des résultats obtenus a été discutés
The aim of the this thesis is to study an electrocardiography (ECG) problem, modeling the cardiac electrical activity by using the stationary bidomain model. Tow types of modeling are considered :The modeling based on direct mathematical model and the modeling based on an inverse Cauchy problem. In the first case, the direct problem is solved by using domain decomposition methods and the approximation by finite elements method. For the inverse Cauchy problem of ECG, it was reformulated into a fixed point problem. In the second case, the existence and uniqueness of fixed point based on the topological degree of Leray-Schauder is showed. Then, some regularizing and stable iterative algorithms based on the techniques of domain decomposition method was developed. Finally, the efficiency and the accurate of the obtained results was discussed
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Books on the topic "Direct and inverse-Problem solving"

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Taler, Jan, and Piotr Duda. Solving Direct and Inverse Heat Conduction Problems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-33471-2.

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Nowożyński, Krzysztof. Methods of solving a one-dimensional magnetotelluric inverse problem. Warszawa: Państwowe Wydawn. Nauk., 1987.

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Robson, Mike. Problem-solving in groups. Wantage: MRA International, 1988.

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Gilhooly, K. J. Thinking: Directed, undirected, and creative. 2nd ed. London: Academic Press, 1988.

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Voronin, Evgeniy, Aleksandr Chibunichev, and Yuriy Blohinov. Reliability of solving inverse problems of analytical photogrammetry. ru: INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/2010462.

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The monograph is devoted to computational aspects of photogrammetric reconstruction of narrow-angle bundles of projecting beams that existed during the survey. Methods of improving the conditionality of systems of linear equations, ensuring the convergence of iterative refinement of their roots, increasing the stability of calculations in finite precision machine arithmetic are considered. The main efforts are focused on solving the problem of establishing reliable measurement weights within the framework of the least squares method. The criteria for the reliability of the weights are determined. Algorithms have been developed for matching the initial values of the measurement weights, adjusting the weights during equalization, and identifying insignificant parameters of mathematical measurement models. A new method for evaluating the accuracy of the equalization results has been developed. For specialists engaged in the processing of remote sensing data of the Earth and mathematical processing of the results of heterogeneous measurements using weighted methods of statistical estimation of the parameters of functional dependencies.
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Yi, Sŏk-chae. Saengae nŭngnyŏk chʻŭkchŏng togu kaebal yŏnʼgu: Ŭisa sotʻong nŭngnyŏk, munje haegyŏl nŭngnyŏk, chagi chudojŏk haksŭp nŭngnyŏk ŭl chungsim ŭro = A study on the development of life-skills : communication, problem solving, and self-directed learning. Sŏul-si: Hanʼguk Kyoyuk Kaebarwŏn, 2003.

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T, Herman Gabor, and Sabatier Pierre Célestin 1935-, eds. Basic methods of tomography and inverse problems: A set of lectures. Bristol: A. Hilger, 1987.

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Lasankin, Serey. Carbon neutralization of steelmaking, energy and cement industries. Silhouettes of the carbon-neutral industry. ru: INFRA-M Academic Publishing LLC., 2024. http://dx.doi.org/10.12737/2122427.

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The monograph examines the ROLL technology that allows solving the climate problem in the steelmaking, energy and cement industries. We are not talking about the exclusion of carbon from the technological process, but about the neutralization of the resulting carbon dioxide. ROLL technology is based on the idea of producing several products from a single heating of raw materials, and the main tools are universal ROLL chambers that bring allied productions closer together in time and space. This reduces the energy intensity of the total product and directs the saved and produced energy to neutralize carbon dioxide. It is intended for scientific and engineering workers, teachers, graduate students and students interested in this problem.
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Kolesnichenko, Ol'ga. Theoretical and legal foundations for assessing and compensating for harm to health in the physical sense: rejection of the formula “cannot be assessed, cannot be compensated” in domestic civil law. ru: Publishing Center RIOR, 2024. http://dx.doi.org/10.29039/02141-5.

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This monograph sheds light on the problem of assessing and compensating for harm caused by damage to a citizen’s health. The author notes that when mentioning such harm, a modern civil scientist leads himself into a situation of “scientific dead end”, stating the special, extraordinary value of the basic intangible benefits of an individual and at the same time refusing to attempt to justify the parameters for its full and effective compensation. The stated approach fits into the formula “not to evaluate cannot be compensated”, constructed by analogy with the expression known to everyone from childhood “to execute cannot be pardoned”, where the comma is set according to the prevailing doctrinal views. As a means of solving the identified problems, the author proposed a conceptual approach based on giving legal significance to manifestations of damage to a citizen’s health, considered in their direct, physical meaning. The monograph formulates the concept of physical harm and defines the prerequisites for constructing an optimal regime for legal regulation of its assessment and compensation. Intended for teaching staff, researchers, individuals studying in educational institutions of higher education in legal specialties (areas of training), and anyone interested in the problems of the development of domestic tort law.
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Fisher, Kimball. Leading self-directed work teams: A guide to developing new team leadership skills. New York: McGraw-Hill, 1993.

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Book chapters on the topic "Direct and inverse-Problem solving"

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Hauptman, Herbert A. "The Phase Problem: A Problem in Constrained Global Optimization." In Direct Methods for Solving Macromolecular Structures, 381–88. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9093-8_33.

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Woolfson, Michael M. "Random Approaches to the Phase Problem." In Direct Methods of Solving Crystal Structures, 203–13. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3692-9_20.

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Hauptman, Herbert A. "The Phase Problem of X-Ray Crystallography: Overview." In Direct Methods for Solving Macromolecular Structures, 3–10. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9093-8_1.

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Sayre, David. "Note on “Superlarge” Structures and Their Phase Problem." In Direct Methods of Solving Crystal Structures, 353–56. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3692-9_33.

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Heidrich-Meisner, Verena, and Christian Igel. "Evolution Strategies for Direct Policy Search." In Parallel Problem Solving from Nature – PPSN X, 428–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-87700-4_43.

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Novotny, Antonio André. "A New Non-Iterative Reconstruction Method for Solving a Class of Inverse Problems." In Fundamental Concepts and Models for the Direct Problem, 1007–23. Brasilia, DF, Brazil: Biblioteca Central da Universidade de Brasilia, 2022. http://dx.doi.org/10.4322/978-65-86503-83-8.c25.

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Giacovazzo, C., L. Manna, and D. Siliqi. "Direct Methods and Molecular Replacement Techniques: The Translation Problem." In Direct Methods for Solving Macromolecular Structures, 487–97. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9093-8_46.

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Hughes, Evan J. "Many Objective Optimisation: Direct Objective Boundary Identification." In Parallel Problem Solving from Nature – PPSN X, 733–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-87700-4_73.

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Lunin, V. Y. "The Likelihood Based Choice of Priors in Statistical Approaches to the Phase Problem." In Direct Methods for Solving Macromolecular Structures, 451–54. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9093-8_40.

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Titarenko, Sofya S., Igor M. Kulikov, Igor G. Chernykh, Maxim A. Shishlenin, Olga I. Krivorot’ko, Dmitry A. Voronov, and Mark Hildyard. "Multilevel Parallelization: Grid Methods for Solving Direct and Inverse Problems." In Communications in Computer and Information Science, 118–31. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-55669-7_10.

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Conference papers on the topic "Direct and inverse-Problem solving"

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Vovk, Serhii, and Valentyn Borulko. "Solving Linear Inverse Problems via Criterion of Minimum Extent." In 2024 IEEE 29th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 61–66. IEEE, 2024. http://dx.doi.org/10.1109/diped63529.2024.10706177.

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Savenko, Petro. "Cauchy’s Generalized Problem in Solving a Nonlinear Three-parameter Spectral Problem." In 2020 IEEE XXVth International Seminar/Workshop Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). IEEE, 2020. http://dx.doi.org/10.1109/diped49797.2020.9273364.

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Alexin, S. G., and O. O. Drobakhin. "Inverse problem solving for layered dielectric structure using Newton-Kantorovich iterative scheme with increased accuracy." In 2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED 2009). IEEE, 2009. http://dx.doi.org/10.1109/diped.2009.5307276.

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Xu, Kaida, Yonghong Zhang, Linli Xie, and Yong Fan. "A broad W-band detector utilizing zero-bias direct detection circuitry." In 2011 International Conference on Computational Problem-Solving (ICCP). IEEE, 2011. http://dx.doi.org/10.1109/iccps.2011.6092273.

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Savenko, P., M. Tkach, and L. Protsakh. "Implicit Function Method in Solving of Nonlinear Two-Dimensional Spectral Problem." In XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory. IEEE, 2006. http://dx.doi.org/10.1109/diped.2006.314317.

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Potapov, A. P. "Horizontal Well Electric Logging Data Interpretation on the Basis of Direct and Inverse Problem Solving." In Saint Petersburg 2010. Netherlands: EAGE Publications BV, 2010. http://dx.doi.org/10.3997/2214-4609.20145460.

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Marinenko, A. V. "DiInSo software package for solving direct and inverse problems of electrotomography in non-typical problem definition." In Engineering and Mining Geophysics 2020. European Association of Geoscientists & Engineers, 2020. http://dx.doi.org/10.3997/2214-4609.202051125.

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Abboudi, S., E. A. Artioukhine, and H. Riad. "Estimation of Transient Boundary Conditions in a Multimaterial: Computational and Experimental Analysis." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0735.

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Abstract The goal of the proposed study is to analyze numerically and experimentally transient flux densities absorbed by specimen which is a typical thermal barrier. The studied composite material is obtained by thermal projection of a deposit of MCrAlY on a substrate in Copper. To solve this inverse heat conduction problem, we have used the implicit finite difference method for the direct problem and the iterative regularization method for the inverse problem. The developed numerical algorithm is based on the minimization of the residual functional which is the integrated difference between temperature histories measured and those calculated by solving the direct problem. The conjugate gradient method is used to solve the inverse problem. The residual functional gradient is computed by solving the adjoint problem and the optimal descent parameter is calculated by solving the problem for temperature variations. The heat flux evolution is approximated by cubic B-splines. The method is first validated with simulated numerically data and second validated experimentally by thermal cycling device. Temperature evolutions measured inside the specimen are used to solve the inverse problem.
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Andriychuk, M. I., and Y. F. Kuleshnyk. "Solving the electromagnetic wave scattering problem by integral equation method." In 2017 XXIInd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). IEEE, 2017. http://dx.doi.org/10.1109/diped.2017.8100610.

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Khardikov, Vyacheslav V., Ekaterina O. Yarko, and Sergey L. Prosvirnin. "Fast Algorithm for Solving of the Light Diffraction Problem on Planar Periodic Structures." In 2007 XIIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. IEEE, 2007. http://dx.doi.org/10.1109/diped.2007.4373578.

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Reports on the topic "Direct and inverse-Problem solving"

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Wald, Joseph K. Solving the 'Inverse' Problem in Terrain Modeling. Fort Belvoir, VA: Defense Technical Information Center, October 1994. http://dx.doi.org/10.21236/ada285860.

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Osipov, G. S. Methodological basis for solving the inverse problem for multi-stage fuzzy relational equations. Сахалинский Государственный Университет, 2018. http://dx.doi.org/10.18411/olimp-2018-10.

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Armstrong, Jerawan C., and Jeffrey A. Favorite. Applications of Mesh Adaptive Direct Search Algorithms to Solve Inverse Transport Problem: Unknown Interface Location. Office of Scientific and Technical Information (OSTI), September 2013. http://dx.doi.org/10.2172/1095220.

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Gosnell, Greer, John List, and Robert Metcalfe. A New Approach to an Age-Old Problem: Solving Externalities by Incenting Workers Directly. Cambridge, MA: National Bureau of Economic Research, June 2016. http://dx.doi.org/10.3386/w22316.

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Dopfer, Jaqui. Öffentlichkeitsbeteiligung bei diskursiven Konfliktlösungsverfahren auf regionaler Ebene. Potentielle Ansätze zur Nutzung von Risikokommunikation im Rahmen von e-Government. Sonderforschungsgruppe Institutionenanalyse, 2003. http://dx.doi.org/10.46850/sofia.3933795605.

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Whereas at the end of the 20th century there were still high expectations associated with the use of new media in terms of a democratisation of social discourse and new potential for citizens to participate in political decision-making, disillusionment is now spreading. Even today, the internet is often seen only as a technical tool for the transmission of information and communication, which serves as a structural supplement to "real" discourse and decision-making processes. In fact, however, the use of new media can open up additional, previously non-existent possibilities for well-founded and substantial citizen participation, especially at regional and supra-regional level. According to the results of this study, the informal, mediative procedures for conflict resolution in the context of high-risk planning decisions, which are now also increasingly used at the regional level, have two main problem areas. Firstly, in the conception and design chosen so far, they do not offer citizens direct access to the procedure. Citizens are given almost no opportunities to exert substantial influence on the content and procedure of the process, or on the solutions found in the process. So far, this has not been remedied by the use of new media. On the other hand, it is becoming apparent that the results negotiated in the procedure are not, or only inadequately, reflected in the subsequent sovereign decision. This means that not only valuable resources for identifying the problem situation and for integrative problem-solving remain unused, but it is also not possible to realise the effects anticipated with the participation procedures within the framework of context or reflexive self-management. With the aim of advancing the development of institutionally oriented approaches at the practice level, this study discusses potential solutions at the procedural level. This takes into account legal implications as well as the action logics, motives and intentions of the actors involved and aims to improve e-government structures. It becomes evident that opening up informal participation procedures for citizen participation at the regional level can only be realised through the (targeted) use of new media. However, this requires a fundamentally new approach not only in the participation procedures carried out but also, for example, in the conception of information or communication offerings. Opportunities for improving the use of the results obtained from the informal procedures in the (sovereign) decision-making process as well as the development of potentials in the sense of stronger self-control of social subsystems are identified in a stronger interlinking of informal and sovereign procedures. The prerequisite for this is not only the establishment of suitable structures, but above all the willingness of decision-makers to allow citizens to participate in decision-making, as well as the granting of participation opportunities and rights that go beyond those previously granted in sovereign procedures.
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Shifrin, Kusiel S., and Ilin G. Zolotov. The Determination of Macro- and Microphysical Characteristics of Aerosol Spatial Inhomogeneities in the Lower Part of the Marine Atmospheric Boundary Layer from the Backscattered Lidar Signal (the Direct and Inverse Problem). Fort Belvoir, VA: Defense Technical Information Center, January 2001. http://dx.doi.org/10.21236/ada390607.

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Chang, Michael Alan, Alejandra Magana, Bedrich Benes, Dominic Kao, and Judith Fusco. Driving Interdisciplinary Collaboration through Adapted Conjecture Mapping: A Case Study with the PECAS Mediator. Digital Promise, May 2022. http://dx.doi.org/10.51388/20.500.12265/156.

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In this report, we demonstrate how an interdisciplinary team of computer science and learning sciences researchers utilize an adapted conjecture mapping tool during a collaborative problem-solving session. The session is documented through an edited “Dialogue” format, which captures the process of conjecture map construction and subsequent reflection. We find that creating the conjecture map collaboratively surfaces a key tension: while learning sciences theory often highlights the nuanced and complex relational nature of learning, even the most cutting-edge computing techniques struggle to discern these nuances. Articulating this tension proved to be highly generative, enabling the researchers to discuss how considering impacted community members as a critical “part of the solution” may lead to a socio-technical tool which supports desired learning outcomes, despite limitations in learning theory and technical capability. Ultimately, the process of developing the conjecture map directed researchers towards a precise discussion about how they would need to engage impacted community members (e.g., teachers) in a co-design process.
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Zacamy, Jenna, and Jeremy Roschelle. Navigating the Tensions: How Could Equity-relevant Research Also Be Agile, Open, and Scalable? Digital Promise, August 2022. http://dx.doi.org/10.51388/20.500.12265/159.

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Digital learning platforms are beginning to become open to research. Specifically, in our work in SEERNet, developers are extending five platforms, each used in either K-12 or higher education by more than 100,000 users, to enable third-party researchers to explore, develop, and test improvements. SEERNet seeks to enable equity-relevant research aligned with the IES Standards for Excellence in Education Research (SEER) principles. It also seeks to support research that is more agile (or rapid), is more open, and scales from research to impacts on practice. We review the emerging tensions among the goal of equity-relevant research and desires for agile, open, and scalable research. We argue that designing and developing technical capabilities for agile, open, and scalable research will not be enough. Based on a series of interviews we conducted with experts in social sciences and equity-focused research, we argue that researchers will have to rethink how they plan and undertake their research. Five shifts could help. First, researchers could deliberately reframe their designs away from a comprehensive, monolithic study to smaller, agile cycles that test a smaller conjecture each time. Second, researchers could shift from designing new educational resources to determining how well-used resources could be elaborated and refined to address equity issues. Third, researchers could utilize variables that capture student experiences to investigate equity when they cannot obtain student demographic variables. Fourth, researchers could work in partnership with educators on equity problems that educators prioritize and want help in solving. Fifth, researchers could acknowledge that achieving equity is not only a technological or resource-design problem, but requires working at the classroom and systems levels too. In SEERNet, we look forward to working with the research community to find ways to address equity through research using well-used digital learning platforms, and to simultaneously conduct research that is more agile, more open, and more directly applicable at scale.
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INVERSION METHOD OF UNCERTAIN PARAMETERS FOR TRUSS STRUCTURES BASED ON GRAPH NEURAL NETWORKS. The Hong Kong Institute of Steel Construction, December 2023. http://dx.doi.org/10.18057/ijasc.2023.19.4.5.

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Uncertainty exists widely in practical engineering. It is an important challenge in engineering structural analysis. In truss structures, the uncertainties of axial stiffness of bolted joints will significantly affect the mechanical behavior of the structure as the axial load is dominated by the member internal forces. Structural response analysis based on determined structural parameters is a common forward problem that can be solved by modeling analysis methods. However, the uncertainties parameter of axial stiffness of bolted joint cannot be determined during the design and analysis of truss structure in the direct nonlinear analysis method. Structural parameter identification based on structural response is a typical inverse problem in engineering, which is difficult to solve using traditional analysis tools. In this paper, an inverse model based on Graph Neural Network (GNN) is proposed. The feature encoding method for transforming truss structures into graph representations of GNN is defined. A parameterized acquisition method for large-scale datasets is presented, and an innovative inversion model based on GNN for the inversion of uncertain parameters of truss structures is proposed. The proposed method is shown to perform well with an inversion accuracy, and accurate results can be obtained with limited data sets. The inversion method has strong data mining capability and model interpretability, making it a promising direction for exploring engineering structural analysis.
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