Results 21 to 30 of about 5,632,119 (202)
A Modified Asymptotical Regularization of Nonlinear Ill-Posed Problems
Mathematics, 2019 In this paper, we investigate the continuous version of modified iterative Runge–Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work.
Pornsarp Pornsawad +2 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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Mathematical Modelling and Analysis, 2002 We consider linear ill‐posed problems Au = ƒ with minimum‐norm solution u*. Instead of ƒ noisy data ƒδ are given satisfying ‖ƒδ — ƒ‖ ≤ δ with known noise level 5.
U. Hamarik, E. Avi, A. Ganina
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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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Modelling and Simulation in Engineering, 2020 In many references, both the ill-posed and inverse boundary value problems are solved iteratively. The iterative procedures are based on firstly converting the problem into a well-posed one by assuming the missing boundary values.
Mohammed Hamaidi +3 more
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A Finite Volume Method to Solve the Ill-Posed Elliptic Problems
Mathematics, 2022 In this paper, we propose a finite volume element method of primal-dual type to solve the ill-posed elliptic problem, that is, the elliptic problem with lacking or overlapping boundary value condition.
Ying Sheng, Tie Zhang
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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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A unified approach for regularizing discretized linear ill‐posed problems
Mathematical Modelling and Analysis, 2009 In this paper we deal with regularization approaches for discretized linear ill‐posed problems in Hilbert spaces. As opposite to other contributions concerning this topic the smoothness of the unknown solution is measured with so‐called approximative ...
Torsten Hein
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A modified quasi-boundary value method for an abstract ill-posed biparabolic problem
Open Mathematics, 2017 In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to ...
Besma Khelili +2 more
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Complexity of Linear Ill-Posed Problems in Hilbert Space
, 2017 Information complexity of ill-posed problems may be seen as controversial. On the one hand side there were pessimistic results stating that the complexity is infinite, while on the other hand side the theory of ill-posed problems is well developed.
Mathé, Peter, Pereverzev, Sergei V.
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