Results 21 to 30 of about 6,390,993 (306)
A comparison of regularizations for an ill-posed problem [PDF]
Mathematics of Computation, 1998 We consider numerical methods for a “quasi-boundary value” regularization of the backward parabolic problem given by \[ {
Karen A. Ames +3 more
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Algorithms, 2023 The boundary value problem, BVP, for the PDE heat equation is studied and explained in this article. The problem declaration comprises two intervals; the (0, T) is the first interval and labels the heating of the inside burning chamber, and the second (T,
Bashar Talib Al-Nuaimi +5 more
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X-rays Image reconstruction using Proximal Algorithm and adapted TV Regularization [PDF]
MATEC Web of Conferences, 2021 Computed tomography (CT) aims to reconstruct an internal distribution of an object based on projection measurements. In the case of a limited number of projections, the reconstruction problem becomes significantly ill-posed.
Allag Aicha +4 more
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Ill-posed problems in early vision [PDF]
Proceedings of the IEEE, 1988 Mathematical results on ill-posed and ill-conditioned problems are reviewed and the formal aspects of regularization theory in the linear case are introduced. Specific topics in early vision and their regularization are then analyzed rigorously, characterizing existence, uniqueness, and stability of solutions.
Mario Bertero +2 more
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Approximation of Bayesian inverse problems for PDEs [PDF]
, 2010 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh +7 more
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Frontiers in Physiology, 2019 The electrocardiographic imaging (ECGI) inverse problem highly relies on adding constraints, a process called regularization, as the problem is ill-posed.
Judit Chamorro-Servent +9 more
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Ill-Posed Inverse Problems in Economics [PDF]
Annual Review of Economics, 2013 A parameter of an econometric model is identified if there is a one-to-one or many-to-one mapping from the population distribution of the available data to the parameter. Often, this mapping is obtained by inverting a mapping from the parameter to the population distribution.
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Numerical simulation of magnetic droplet dynamics in a rotating field
Mathematical Modelling and Analysis, 2013 Dynamics and hysteresis of an elongated droplet under the action of a rotating magnetic field is considered for mathematical modelling. The shape of droplet is found by regularization of the ill-posed initial–boundary value problem for nonlinear partial ...
Andrejs Cebers, Harijs Kalis
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Total Fractional-Order Variation-Based Constraint Image Deblurring Problem
Mathematics, 2023 When deblurring an image, ensuring that the restored intensities are strictly non-negative is crucial. However, current numerical techniques often fail to consistently produce favorable results, leading to negative intensities that contribute to ...
Shahid Saleem +2 more
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ON THE DISCRETE LINEAR ILL‐POSED PROBLEMS
Mathematical Modelling and Analysis, 1999 An inverse problem of photo‐acoustic spectroscopy of semiconductors is investigated. The main problem is formulated as the integral equation of the first kind. Two different regularization methods are applied, the algorithms for defining regularization parameters are given.
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