Results 31 to 40 of about 23,965 (163)
An Approximate Solution for a Class of Ill-Posed Nonhomogeneous Cauchy Problems
Journal of Mathematics, 2021 In this paper, we consider a nonhomogeneous differential operator equation of first order u′t+Aut=ft. The coefficient operator A is linear unbounded and self-adjoint in a Hilbert space. We assume that the operator does not have a fixed sign. We associate
Nihed Teniou, Salah Djezzar
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METHOD OF TRAINING EXAMPLES IN SOLVING INVERSE ILL-POSED PROBLEMS OF SPECTROSCOPY [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2015 Subject of Study.The paper deals with further development of the method of computational experiments for solving ill-posed problems, e.g., the inverse spectroscopy problem.
V. S. Sizikov, A. V. Stepanov
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On the Optimality of Methods for Ill-Posed Problems
Zeitschrift für Analysis und ihre Anwendungen, 1987 The optimality of a class of regularization methods for linear ill-posed problems is investigated. The general results are applied to Lavrentjew’s and Tikhonov’s methods and to a class of iteration methods and their continuous versions.
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On a Two-Step Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities
Journal of Inequalities and Applications, 2009 A common method in solving ill-posed problems is to substitute the original problem by a family of well-posed (i.e., with a unique solution) regularized problems.
Filomena Cianciaruso +3 more
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Projection Methods for Ill-Posed Problems Revisited [PDF]
Computational Methods in Applied Mathematics, 2015 Abstract We consider the discretization of least-squares problems for linear ill-posed operator equations in Hilbert spaces. The main subject of this article concerns conditions for convergence of the associated discretized minimum-norm least-squares solution to the exact solution using exact attainable data.
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Optimal regularization method for ill-posed Cauchy problems
Electronic Journal of Differential Equations, 2006 The goal of this paper is to give an optimal regularization method for an ill-posed Cauchy problem associated with an unbounded linear operator in a Hilbert space.
Nadjib Boussetila, Faouzia Rebbani
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Continuous dependence of solutions for ill-posed evolution problems
Electronic Journal of Differential Equations, 2010 We prove Holder-continuous dependence results for the difference between certain ill-posed and well-posed evolution problems in a Hilbert space. Specifically, given a positive self-adjoint operator D in a Hilbert space, we consider the ill-posed ...
Matthew Fury, Rhonda J. Hughes
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Regularization of the backward heat equation via heatlets
Electronic Journal of Differential Equations, 2008 Shen and Strang [16] introduced heatlets in order to solve the heat equation using wavelet expansions of the initial data. The advantage of this approach is that heatlets, or the heat evolution of the wavelet basis functions, can be easily computed ...
Emily McNabb +2 more
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Известия Иркутского государственного университета: Серия "Математика", 2017 The linear system of partial differential equations is considered. It is assumed that there is the irreversible linear operator in the main part of the system, which enjoy the skeletal decomposition.
N.A. Sidorov, D.N. Sidorov
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On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems. [PDF]
Numer Math (Heidelb), 2022 Parzer F, Scherzer O.
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