Tikhonov Regularization Method
The Tikhonov Regularization Method in Hilbert Scales for Determining the Unknown Source for the Modified Helmholtz Equation
... special regularization methods are ...the Tikhonov regularization method in Hilbert scales to reconstruct a new function h δ from the perturbed data g δ and Th δ will be used as an ...
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Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... projected Tikhonov regularization method for solving Fredholm integral equations of the first ...this method in the Hilbert space L 2 (a, b) setting and establish some convergence rates under ...
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Identification of source term for the ill posed Rayleigh–Stokes problem by Tikhonov regularization method
... In this work, we give another way for approaching the ill-posedness of an inverse source problem. We deliver a Tikhonov regularization method to consider the above Gaussian random model. The ...
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Determination of an Unknown Source in the Heat Equation by the Method of Tikhonov Regularization in Hilbert Scales
... It is apparent that the exact data ˆ g must decay faster than the rate ξ − 2 . However, in general, the measured data g δ does not possess such a decay property. In the following, we apply the Tikhonov ...
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Regularization method for the radially symmetric inverse heat conduction problem
... We consider an axisymmetric inverse problem for the heat equation inside the cylinder a ≤ r ≤ b. We wish to determine the surface temperature on the interior surface {r = a} from the Cauchy data on the exterior surface ...
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A modified regularization method for an inverse heat conduction problem with only boundary value
... The paper is organized as follows. In Section , we give the formulation of the solu- tion for problem (.) and present some preliminary results. In Section , we prove the conditional stability for the IHCP (.) by ...
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Optimal Tikhonov approximation for a sideways parabolic equation
... We consider an inverse heat conduction problem with convection term which appears in some applied subjects. This problem is ill posed in the sense that the solution (if it exists) does not depend continuously on the ...
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Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem
... collocation method to approximate the spatial derivatives and Tikhonov regularization method for solving produced ill- posed ...proposed method has the order of convergence O(k + h 2 ...
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HAAR BASIS METHOD TO SOLVE SOME INVERSE PROBLEMS FOR TWO-DIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS
... numerical method consists of combining Haar basis method and Tikhonov regularization ...the method to solve some inverse problems for two- dimensional parabolic and hyperbolic equations ...
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Algorithm and software to automatically identify latency and amplitude features of local field potentials recorded in electrophysiological investigation
... A limitation of many software tools for LFP analysis is that algorithmic details are not fully described and/or codes are not open to customization according to specific investigational needs. In the present paper, we ...
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A numerical study of the SVDMFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity
... the method of fundamental solutions together with the method of particular ...(SVD)-based regularization methods, such as the Tikhonov regularization method [36], the damped SVD ...
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Performance Analysis of Grey Level Fitting Mechanism based Gompertz Function for Image Reconstruction Algorithms in Electrical Capacitance Tomography Measurement System
... standard Tikhonov regularization method is one of the best method to solve the ill-posed problem, but in ECT it tends to generate a smooth approximation solution, in that case it can lead the ...
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Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
... quasi-reversibility method to solve a backward problem for a time-fractional diffusion equation in the one- dimensional ...the Tikhonov regularization ...
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1. Fock spaces for the $q$-Bessel-Struve kernel
... application of the theory of reproducing kernels to the Tikhonov regularization, which gives the approximate solutions for bounded linear operator equation on the Fock spaces F q,αc. Esp[r] ...
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Insights into Tikhonov regularization: application to trace gas column retrieval and the efficient calculation of total column averaging kernels
... into Tikhonov regularization and its application to the retrieval of vertical column densi- ties of atmospheric trace gases from remote sensing measure- ...and Tikhonov regulariza- tion method ...
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Regularization and Adaptation for the Approximation of Nonsmooth Solutions for Fredgolm First Kind Integral Equations
... gorithm (3)–(6) with the parameter β ≡ 0 is a variant of the Tikhonov total variation regularization technique in two-dimensional case. In order to demonstrate the qual- itative difference between numerical ...
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Pro active acoustic noise reduction for magnetic resonance imaging scanners
... A comprehensive paper by Kuijpers et al. [63] presented a semi-analytical solution for the gradient coil acoustic problem, with the model evolving from a simple infi- nite duct to a finite duct with vibrating walls and ...
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Two new regularization methods for solving sideways heat equation
... the measured Cauchy data with measurement errors. This is a severely ill-posed problem: any small perturbation in the observation data can cause large errors in the solution u(x, t) for x ∈ [, L). Therefore, most ...
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Mapping nearly continuous function by Newton-like operators in Baire's space
... newton method often referred to as the Broyden’s method which acts on a topological space F : X → Y for nonlinear system of ...Broyden’s method using Jacobi and Successive Overrelaxation methods were ...
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Clean Deconvolution Applied to Passive Compressed Beamforming
... Two metallic cylinders with isotropic radar cross sections are set in an anechoid chamber and the efficiency of the proposed algorithm is compared to the results obtained using the unique Tikhonov ...
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