Results 1 to 10 of about 541,242 (169)
Nearly Exact Discrepancy Principle for Low-Count Poisson Image Restoration [PDF]
Journal of Imaging, 2021 The effectiveness of variational methods for restoring images corrupted by Poisson noise strongly depends on the suitable selection of the regularization parameter balancing the effect of the regulation term(s) and the generalized Kullback–Liebler ...
Francesca Bevilacqua +3 more
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Journal of Mathematical Analysis and Applications, 2004 The aim of this note is to prove a new discrepancy principle. The advantage of the new discrepancy principle compared with the known one consists of solving a minimization problem approximately, rather than exactly, and in the proof of a stability ...
A.G. Ramm +6 more
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EPJ Web of Conferences, 2018 We report on the lattice computation of the Landau gauge gluon propagator at finite temperature, including the non-zero Matsubara frequencies. Moreover, the corresponding Källén-Lehmann spectral density is computed, using a Tikhonov regularisation ...
Silva Paulo J. +3 more
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Mathematics, 2021 We prove the logarithmic convergence rate of the families of usual and modified iterative Runge-Kutta methods for nonlinear ill-posed problems between Hilbert spaces under the logarithmic source condition, and numerically verify the obtained results. The
Pornsarp Pornsawad +2 more
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Open Mathematics, 2023 In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
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A modified Tikhonov regularization for unknown source in space fractional diffusion equation
Open Mathematics, 2022 In this article, we consider the identification of an unknown steady source in a class of fractional diffusion equations. A modified Tikhonov regularization method based on Hermite expansion is presented to deal with the ill-posedness of the problem.
Yu Kai, Gong Benxue, Zhao Zhenyu
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Mathematics, 2020 This paper deals with the Tikhonov regularization for nonlinear ill-posed operator equations in Hilbert scales with oversmoothing penalties. One focus is on the application of the discrepancy principle for choosing the regularization parameter and its ...
Bernd Hofmann, Christopher Hofmann
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Open Mathematics, 2020 In this paper, a Cauchy problem for the Laplace equation is considered. We develop a modified Tikhonov regularization method based on Hermite expansion to deal with the ill posed-ness of the problem.
Zhao Zhenyu, You Lei, Meng Zehong
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Discrepancy principle for DSM II [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The equivalence principle and the bending of light [PDF]
, 2002 The apparent discrepancy between the bending of light predicted by the equivalence principle and its corresponding value in general relativity is resolved by evaluating the deflection of light with respect to a direction that is parallel transported ...
Ferraro, Rafael
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