Results 111 to 120 of about 11,051,325 (215)

Approximate controllability of a semilinear delayed heat equation Tikhonov regularization

Современная математика: Фундаментальные направления
In this work, we study approximate controllability of a semilinear heat equation with delay using the Tikhonov regularization. The considered problem for partial differential equation is transformed into an equivalent operator equation.
S. Kumar
doaj   +1 more source

Tensor Conjugate Gradient Methods with Automatically Determination of Regularization Parameters for Ill-Posed Problems with t-Product

Mathematics
Ill-posed problems arise in many areas of science and engineering. Tikhonov is a usual regularization which replaces the original problem by a minimization problem with a fidelity term and a regularization term.
Shi-Wei Wang, Guang-Xin Huang, Feng Yin
doaj   +1 more source

A Fractional Tikhonov Regularization Method for Identifying a Time-Independent Source in the Fractional Rayleigh–Stokes Equation

Fractal and Fractional
The aim of this paper is to identify a time-independent source term in the Rayleigh–Stokes equation with a fractional derivative where additional data are considered at a fixed time point.
Songshu Liu, Lixin Feng, Chao Liu
doaj   +1 more source

Uncertainty in structure dynamics resulting from matrix ill-conditioning

Archives of Acoustics, 2014
In the paper there are discussed certain issues concerning ill-posed problems that frequently appear in inverse problems, modal analysis, acoustics and other methods making use of matrix algebra.
J. IWANIEC
doaj  

Tikhonov-type regularization method for efficient solutions in vector optimization

Journal of Computational and Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Adaptive Arnoldi-Tikhonov regularization for image restoration

, 2014
In the framework of the numerical solution of linear systems arising from image restoration, in this paper we present an adaptive approach based on the reordering of the image approximations obtained with the Arnoldi-Tikhonov method.
RUSSO, MARIA ROSARIA, NOVATI, PAOLO
core   +1 more source

Numerical Analysis of a Fractional Cauchy Problem for the Laplace Equation in an Annular Circular Region

Fractal and Fractional
The Cauchy problem for the Laplace equation in an annular bounded region consists of finding a harmonic function from the Dirichlet and Neumann data known on the exterior boundary.
José Julio Conde Mones, Julio Andrés Acevedo Vázquez, Eduardo Hernández Montero, María Monserrat Morín Castillo, Carlos Arturo Hernández Gracidas, José Jacobo Oliveros Oliveros   +5 more
doaj   +1 more source

Tikhonov regularization with nonnegativity constraint

, 2008
. Many numerical methods for the solution of ill-posed problems are based on Tikhonov regularization. Recently, Rojas and Steihaug [15] described a barrier method for computing nonnegative Tikhonov-regularized approximate solutions of linear discrete ill-
B. Lewis, F. Sgallari, D. Calvetti, L. Reichel   +3 more
core  

Parameter determination for Tikhonov regularization problems in general form

, 2018
Tikhonov regularization is one of the most popular methods for computing an approximate solution of linear discrete ill-posed problems with error-contaminated data.
G. Rodriguez, Y. Park, L. Reichel, X. Yu
core   +1 more source

On nondecreasing sequences of regularization parameters for nonstationary iterated Tikhonov

, 2012
Nonstationary iterated Tikhonov is an iterative regularization method that requires a strategy for defining the Tikhonov regularization parameter at each iteration and an early termination of the iterative process.
DONATELLI, MARCO
core   +1 more source