Results 1 to 10 of about 413,762 (209)
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 \[ {
K. Ames +3 more
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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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Computer Methods in Applied Mechanics and Engineering, 2001 A K Alekseev, I Michael Navon
exaly +2 more sources
On a time fractional diffusion with nonlocal in time conditions
Advances in Difference Equations, 2021 In this work, we consider a fractional diffusion equation with nonlocal integral condition. We give a form of the mild solution under the expression of Fourier series which contains some Mittag-Leffler functions. We present two new results.
Nguyen Hoang Tuan +3 more
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Bouligand–Landweber iteration for a non-smooth ill-posed problem [PDF]
Numerische Mathematik, 2018 This work is concerned with the iterative regularization of a non-smooth nonlinear ill-posed problem where the forward mapping is merely directionally but not Gâteaux differentiable.
Christian Clason, V. Nhu
semanticscholar +1 more source
Information Is Where You Find It: Perception as an Ecologically Well-Posed Problem
i-Perception, 2021 Texts on visual perception typically begin with the following premise: Vision is an ill-posed problem, and perception is underdetermined by the available information.
W. Warren
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Approximation of inverse source problem for time fractional pseudo-parabolic equation in $L^p$ [PDF]
Mathematics and Computational Sciences, 2023 In this work, we focus on the final value problem of an inverse problem for the pseudo-parabolic equation. This study aims to provide a regularization method for this equation, once the measurement data are obtained at the final time in $L^{r}(0,\pi ...
Phong Tran, Long Le
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Updating the Landweber Iteration Method for Solving Inverse Problems
Mathematics, 2022 The Landweber iteration method is one of the most popular methods for the solution of linear discrete ill-posed problems. The diversity of physical problems and the diversity of operators that result from them leads us to think about updating the main ...
Hassan K. Ibrahim Al-Mahdawi +4 more
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Regularization and Error Estimate for the Poisson Equation with Discrete Data
Mathematics, 2019 In this work, we focus on the Cauchy problem for the Poisson equation in the two dimensional domain, where the initial data is disturbed by random noise.
Nguyen Anh Triet +3 more
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Ill-posed problems in thermomechanics
Applied Mathematics Letters, 2009 Several thermomechanical models have been proposed from a heuristic point of view. A mathematical analysis should help to clarify the applicability of these models, among those recent thermal or viscoelastic models. Single-phase-lag and dual-phase-lag heat conduction models can be interpreted as formal expansions of delay equations. The delay equations
Michael Dreher +2 more
openaire +5 more sources