A new Tikhonov regularization method [PDF]
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Fuhry, Martin, Reichel, Lothar
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Mathematical and numerical modeling of inverse heat conduction problem [PDF]
The present paper refers to the assessment of three numerical methods for solving the inverse heat conduction problem: the Alifanov’s iterative regularization method, the Tikhonov local regularization method and the Tikhonov equation regularization ...
Sterian DANAILA, Alina-Ioana CHIRA
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Fractional Regularized Distorted Born Iterative Method for Permittivity Reconstruction [PDF]
In this paper, we propose a fractional regularized distorted Born iterative method (DBIM) to solve non-linear ill-posed problems of microwave imaging.
A. D. Magdum +2 more
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A Combined Use of TSVD and Tikhonov Regularization for Mass Flux Solution in Tibetan Plateau
Limited by the Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On (GRACE-FO) measurement principle and sensors, the spatial resolution of mass flux solutions is about 2–3° in mid-latitudes at monthly intervals.
Tianyi Chen +3 more
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Arnoldi–Tikhonov regularization methods
The problem is to solve a large, ill-conditioned linear system \(Ax=b\) of size \(n\), where \(b=\hat{b}+e\) with \(\hat{b}\) the ``true'' vector and \(e\) some error. Tikhonov regularization minimizes \(\|Ax-b\|^2+\mu^{-1}\|x\|\) with \(\mu\) a regularization parameter.
Lewis, Bryan, Reichel, Lothar
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Multidirectional Subspace Expansion for One-Parameter and Multiparameter Tikhonov Regularization [PDF]
Tikhonov regularization is a popular method to approximate solutions of linear discrete ill-posed problems when the observed or measured data is contaminated by noise.
C Brezinski +24 more
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The Tikhonov regularization method in elastoplasticity
The numeric simulation of the mechanical behaviour of industrial materials is widely used in the companies for viability verification, improvement and optimization of designs. The eslastoplastic models have been used for forecast of the mechanical behaviour of materials of the most several natures (see [1]).
Azikri de Deus, Hilbeth P. +3 more
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Regularized MFS solution of inverse boundary value problems in three-dimensional steady-state linear thermoelasticity [PDF]
We investigate the numerical reconstruction of the missing thermal and mechanical boundary conditions on an inaccessible part of the boundary in the case of three-dimensional linear isotropic thermoelastic materials from the knowledge of over-prescribed ...
Aliabadi +28 more
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A modified Tikhonov regularization method
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xiao-Juan, Wang, Li
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Intelligent Particle Swarm Optimization Method for Parameter Selecting in Regularization Method for Integral Equation [PDF]
We use the Tikhonov method as a regularization technique for solving the integral equation of the first kind with noisy and noise-free data. Following that, we go over how to choose the Tikhonov regularization parameter by implementing the Intelligent ...
Al-Mahdawi H.K. +5 more
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