Results 1 to 10 of about 2,897 (246)

Discrepancy Sets for Combined Least Squares Projection and Tikhonov Regularization

Mathematical Modelling and Analysis, 2017
To solve a linear ill-posed problem, a combination of the finite dimensional least squares projection method and the Tikhonov regularization is considered. The dimension of the projection is treated as the second parameter of regularization.
Teresa Reginska
doaj   +3 more sources

A discrepancy principle for the Landweber iteration based on risk minimization [PDF]

Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benvenuto F., Campi C.
openaire   +6 more sources

Discrepancy principle for DSM II [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A modified Tikhonov regularization method based on Hermite expansion for solving the Cauchy problem of the Laplace equation

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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On rules for stopping the conjugate gradient type methods in ill‐posed problems

Mathematical Modelling and Analysis, 2007
We consider stopping rules in conjugate gradient type iteration methods for solving linear ill‐posed problems with noisy data. The noise level may be known exactly or approximately or be unknown. We propose several new stopping rules, mostly for the case
Uno Hämarik, Reimo Palm
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Complexity Estimates for Severely Ill-posed Problems under A Posteriori Selection of Regularization Parameter

Mathematical Modelling and Analysis, 2017
In the article the authors developed two efficient algorithms for solving severely ill-posed problems such as Fredholm’s integral equations. The standard Tikhonov method is applied as a regularization.
Sergii G. Solodky, Ganna L. Myleiko, Evgeniya V. Semenova   +2 more
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A Modified Asymptotical Regularization of Nonlinear Ill-Posed Problems

Mathematics, 2019
In this paper, we investigate the continuous version of modified iterative Runge–Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work.
Pornsarp Pornsawad, Nantawan Sapsakul, Christine Böckmann   +2 more
doaj   +1 more source

Resolving the muon g − 2 tension through Z′-induced modifications to σ had

Journal of High Energy Physics, 2023
The QED hadronic vacuum polarization function plays an important role in the determination of precision electroweak observables and of the anomalous magnetic moment of the muon.
Nina M. Coyle, Carlos E. M. Wagner
doaj   +1 more source

A Truncation Method Based on Hermite Expansion for Unknown Source in Space Fractional Diffusion Equation

Mathematical Modelling and Analysis, 2014
In this paper we consider the problem for identifying an unknown steady source in a space fractional diffusion equation. A truncation method based on a Hermite function expansion is proposed, and the regularization parameter is chosen by a discrepancy ...
Zhenyu Zhao, Ou Xiea, Lei You, Zehong Meng   +3 more
doaj   +1 more source

Correlation between Leg Length Discrepancies (LLD) with ITB Syndrome: A Systematic Review

Orthopaedic Journal of Sports Medicine, 2023
Backgrounds: Iliotibial band syndrome (ITBS) is one of the many different causes of lateral knee pain. The iliotibial band (ITB) is the distal fascial continuation of the tensor fascia lata, gluteus medius, and gluteal maximus.
Muhammad Iqbal Nurfadhilah, Jaka Fitria Yudhistira   +1 more
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