Suchergebnisse - 65J20 Numerical solutions of ill-posed problems in abstract spaces
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Hanke–Raus rule for Landweber iteration in Banach spaces
ISSN: 0029-599X, 0945-3245Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2024Veröffentlicht in Numerische Mathematik (01.02.2024)“… We consider the Landweber iteration for solving linear as well as nonlinear inverse problems in Banach spaces …”
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Numerical solutions of linear ill-posed problems
ISSN: 1065-2469, 1476-8291Veröffentlicht: Taylor & Francis 01.01.2005Veröffentlicht in Integral transforms and special functions (01.01.2005)“… In this paper, a method is described for inverting the Mellin transform which uses an expansion in Laguerre polynomials and converts Mellin transform to …”
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Numerical solutions to some ill-posed problems
ISBN: 1124866760, 9781124866765Veröffentlicht: ProQuest Dissertations & Theses 01.01.2011“… Several methods for a stable solution to the equation F( u) = f have been developed …”
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On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems
ISSN: 0036-1429, 1095-7170Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.04.1973Veröffentlicht in SIAM journal on numerical analysis (01.04.1973)“… Then we indicate how this technique is especially appropriate for some classical ill-posed problems of mathematical physics …”
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Pitfalls in the Numerical Solution of Linear Ill-Posed Problems
ISSN: 0196-5204, 1064-8275, 2168-3417, 1095-7197Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.06.1983Veröffentlicht in SIAM journal on scientific and statistical computing (01.06.1983)“… We examine here existence and uniqueness questions associated with so-called reasonable solutions for such problems, and present results using the best-known methods on inverse Laplace transform problems …”
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On the Achievable Level of Accuracy for the Solution of Abstract Ill-Posed Problems and Nonlinear Operator Equations in a Banach Space
ISSN: 1066-369X, 1934-810XVeröffentlicht: Moscow Pleiades Publishing 01.03.2022Veröffentlicht in Russian mathematics (01.03.2022)“… It has been shown that, for a wide class of ill–posed problems of finding the value of a discontinuous operator by an approximately specified element …”
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The numerical solution of ill-posed linear problems
Veröffentlicht: ProQuest Dissertations & Theses 01.01.1980Volltext
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Numerical Methods for the Solution of Linear Ill-Posed Problems
ISBN: 9798265447746Veröffentlicht: ProQuest Dissertations & Theses 01.01.2022“… Linear ill-posed problems arise in various fields of science and engineering. Their solutions, if they exist, may not depend continuously on the observed data …”
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Development of the VGF Crystal Growth Recipe: Intelligent Solutions of Ill‐Posed Inverse Problems using Images and Numerical Data
ISSN: 0232-1300, 1521-4079Veröffentlicht: 01.11.2023Veröffentlicht in Crystal research and technology (1979) (01.11.2023)“… ‐posed inverse problem, which violates one or more of Hadamard's well‐posedness criteria of solution existence, uniqueness, and stability …”
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Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank
ISSN: 0196-5204, 1064-8275, 2168-3417, 1095-7197Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.05.1990Veröffentlicht in SIAM journal on scientific and statistical computing (01.05.1990)“… Tikhonov regularization is a standard method for obtaining smooth solutions to discrete ill-posed problems …”
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The numerical inversion of the Laplace transform in reproducing kernel Hilbert spaces for ill-posed problems
ISSN: 0020-739X, 1464-5211Veröffentlicht: Taylor & Francis Group 01.07.2002Veröffentlicht in International journal of mathematical education in science and technology (01.07.2002)“… In this paper we have converted the Laplace transform into an integral equation of the first kind of convolution type, which is an ill-posed problem, and used a statistical regularization method to solve …”
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Book reviews -- The Mollification Method and the Numerical Solution of Ill-Posed Problems by D. A. Murio
ISSN: 0010-7514, 1366-5812Veröffentlicht: London Taylor & Francis Ltd 01.03.1994Veröffentlicht in Contemporary physics (01.03.1994)Volltext
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ASPECTS OF THE THEORY OF TIKHONOV'S METHOD FOR THE NUMERICAL SOLUTION OF INTEGRAL EQUATIONS (ILL-POSED PROBLEMS)
ISBN: 9798641594972Veröffentlicht: ProQuest Dissertations & Theses 01.01.1984“… The method is considered in the general context of Hilbert space. A new saturation result is established, namely that a rate of convergence of order o((delta)('2/3)), where (delta …”
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ESTIMATION OF DISCONTINUOUS SOLUTIONS OF ILL-POSED PROBLEMS BY REGULARIZATION FOR SURFACE REPRESENTATIONS: NUMERICAL REALIZATION VIA MOVING GRIDS
ISBN: 9789812383662, 9789812704924, 9812383662, 9812704922, 9789814486026, 9814486027Veröffentlicht: WORLD SCIENTIFIC 01.04.2003Veröffentlicht in Recent Development In Theories And Numerics (01.04.2003)“… In this paper we discuss the numerical realization of a new regularization method, regularization for surface representations, which is well-suited for ill-posed problems with discontinuous solutions …”
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Buchkapitel -
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Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 02.03.2016Veröffentlicht in arXiv.org (02.03.2016)“… in it. Previous publications about numerical solutions of ill-posed Cauchy problems were considering only linear equations …”
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Towards structural analysis of solution spaces for ill-posed discrete 1D optimisation problems
ISSN: 2151-2191Veröffentlicht: IEEE 01.11.2013Veröffentlicht in 2013 28th International Conference on Image and Vision Computing New Zealand (IVCNZ 2013) (01.11.2013)“… To obtain a single best-suited solution, an ill-posed global optimisation problem is regularised …”
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Tagungsbericht -
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An iterative method to compute minimum norm solutions of ill-posed problems in Hilbert spaces
ISSN: 1012-9405, 2190-7668Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019Veröffentlicht in Afrika mathematica (01.09.2019)“… We study an algorithm to compute minimum norm solution of ill-posed problems in Hilbert spaces and investigate its regularizing properties with discrepancy principle stopping rule …”
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The necessary and sufficient conditions for the qualified convergence of difference methods for approximate solution of the ill-posed Cauchy problem in a Banach space
ISSN: 1066-369X, 1934-810XVeröffentlicht: Heidelberg Allerton Press, Inc 01.04.2009Veröffentlicht in Russian mathematics (01.04.2009)“… We study properties of finite-difference methods for approximate solution of the ill-posed Cauchy problem for a homogeneous equation of the first order with a sectorial operator in a Banach space …”
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On the second-order asymptotical regularization of linear ill-posed inverse problems
ISSN: 0003-6811, 1563-504X, 1563-504XVeröffentlicht: Abingdon Taylor & Francis 25.04.2020Veröffentlicht in Applicable analysis (25.04.2020)“… ) method for the stable approximate solution of ill-posed linear operator equations in Hilbert spaces, which are models for linear inverse problems with applications in the natural sciences, imaging and engineering …”
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A fast iterative regularization method for ill-posed problems
ISSN: 0008-0624, 1126-5434Veröffentlicht: Milano Springer Nature B.V 01.03.2025Veröffentlicht in Calcolo (01.03.2025)“… Ill-posed problems manifest in a wide range of scientific and engineering disciplines …”
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