Results 11 to 20 of about 6,390,993 (306)
On the ill-posed problem for the Poisson equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 A boundary value problem in a two - dimensional rectangular region for the Poisson equation is studied in the paper. The original ill - posed boundary value problem is transformed to the optimal control problem.
M.T. Jenaliyev +2 more
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Optimal Control of the Ill-Posed Cauchy Elliptic Problem [PDF]
International Journal of Differential Equations, 2015 We give a characterization of the control for ill-posed problems of oscillating solutions. More precisely, we study the control of Cauchy elliptic problems via a regularization approach which generates incomplete information.
A. Berhail, A. Omrane
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Spectral Regularization Methods for an Abstract Ill-Posed Elliptic Problem [PDF]
Abstract and Applied Analysis, 2013 We study an abstract elliptic Cauchy problem associated with an unbounded self-adjoint positive operator which has a continuous spectrum. It is well-known that such a problem is severely ill-posed; that is, the solution does not depend continuously on ...
Nadjib Boussetila +2 more
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Conditional stability of a solution of a difference scheme for an ill-posed Cauchy problem [PDF]
Electronic Journal of Differential Equations, 2018 In this article, we obtain criteria for stability of two-layer difference schemes for an abstract ill-posed Cauchy problem. Method of proof is based on obtaining a priori difference weighted Carleman type estimates.
Murat A. Sultanov +2 more
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Numerical Methods for Ill-Posed, Linear Problems [PDF]
, 1975 A means of assessing the effectiveness of methods used in the numerical solution of various linear ill-posed problems is outlined. Two methods: Tikhonov' s method of regularization and the quasireversibility method of Lattès and Lions are appraised from ...
Stevens, Thomas
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Optimisation in the regularisation ill-posed problems [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1986 We survey the role played by optimization in the choice of parameters for Tikhonov regularization of first-kind integral equations. Asymptotic analyses are presented for a selection of practical optimizing methods applied to a model deconvolution problem. These methods include the discrepancy principle, cross-validation and maximum likelihood.
Davies, A. R., Anderssen, R. S.
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Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 It is important to note that mixed systems of first and second-kind Volterra–Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of difficulties.
S. Pishbin, J. Shokri
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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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Solution of ill-posed problems with Chebfun
Numerical Algorithms, 2022 AbstractThe analysis of linear ill-posed problems often is carried out in function spaces using tools from functional analysis. However, the numerical solution of these problems typically is computed by first discretizing the problem and then applying tools from finite-dimensional linear algebra.
Abdulaziz Alqahtani +2 more
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Química Nova, 2011 A neural network procedure to solve inverse chemical kinetic problems is discussed in this work. Rate constants are calculated from the product concentration of an irreversible consecutive reaction: the hydrogenation of Citral molecule, a process with ...
Rita C. O. Sebastião +3 more
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