Results 21 to 30 of about 988,939 (305)
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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A Strongly Ill-Posed Problem for the Equation
Cumhuriyet Science Journal, 2018 In this work, we consider an inverse problem for an elliptic equationwhich is strongly ill-posed in Hadamard sense. We prove the uniqueness of thesolution of the problem by using Carleman estimates.
Mustafa Yıldız
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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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Equivalence of ill-posed dynamical systems
Archivum Mathematicum, 2023 Summary: The problem of topological classification is fundamental in the study of dynamical systems. However, when we consider systems without well-posedness, it is unclear how to generalize the notion of equivalence. For example, when a system has trajectories distinguished only by parametrization, we cannot apply the usual definition of equivalence ...
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, 2021 In English.This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived.
Klibanov M. V. ((Michael V.),) +1 more
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Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems [PDF]
, 2002 It is well known that projection schemes for certain linear ill-posed problems A퓍 = y can be regularized by a proper choice of the discretization level only, where no additional regularization is needed.
Bruckner, Gottfried +1 more
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Mathematical modelling of an elongated magnetic droplet in a rotating magnetic field
Mathematical Modelling and Analysis, 2012 Dynamics of an elongated droplet under the action of a rotating magnetic field is considered by mathematical modelling. The actual shape of a droplet is obtained by solving the initial-boundary value problem of a nonlinear singularly perturbed partial ...
Andrejs Cebers, Harijs Kalis
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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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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
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GPR prospecting in a layered medium via microwave tomography
Annals of Geophysics, 2003 The tomographic approach appears to be a promising way to elaborate Ground Penetrating Radar (GPR) data in order to achieve quantitative information on the tested regions.
F. Soldovieri, L. Crocco
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