Výsledky vyhledávání - 65J20 Numerical solutions of ill-posed problems in abstract spaces

Hanke–Raus rule for Landweber iteration in Banach spaces Autor Real, Rommel R.

“…We consider the Landweber iteration for solving linear as well as nonlinear inverse problems in Banach spaces…”
Získat plný text

Numerical solutions to some ill-posed problems Autor Hoang, Nguyen Si

“…Several methods for a stable solution to the equation F( u) = f have been developed…”
Získat plný text

Numerical solutions of linear ill-posed problems Autor Iqbal, M.

“…In this paper, a method is described for inverting the Mellin transform which uses an expansion in Laguerre polynomials and converts Mellin transform to…”
Získat plný text

On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems Autor Varah, J. M.

“… Then we indicate how this technique is especially appropriate for some classical ill-posed problems of mathematical physics…”
Získat plný text

Pitfalls in the Numerical Solution of Linear Ill-Posed Problems Autor Varah, J. M.

“… We examine here existence and uniqueness questions associated with so-called reasonable solutions for such problems, and present results using the best-known methods on inverse Laplace transform problems…”
Získat plný text

On the Achievable Level of Accuracy for the Solution of Abstract Ill-Posed Problems and Nonlinear Operator Equations in a Banach Space Autor Kokurin, M. Yu, Bakushinsky, A. B.

“…It has been shown that, for a wide class of ill–posed problems of finding the value of a discontinuous operator by an approximately specified element…”
Získat plný text

The numerical solution of ill-posed linear problems Autor MacLeod, Allan John

Získat plný text

Numerical Methods for the Solution of Linear Ill-Posed Problems Autor Alqahtani, Abdulaziz

“…Linear ill-posed problems arise in various fields of science and engineering. Their solutions, if they exist, may not depend continuously on the observed data…”
Získat plný text

Development of the VGF Crystal Growth Recipe: Intelligent Solutions of Ill‐Posed Inverse Problems using Images and Numerical Data Autor Dropka, Natasha, Holena, Martin, Thieme, Cornelia, Chou, Ta‐Shun

“…‐posed inverse problem, which violates one or more of Hadamard's well‐posedness criteria of solution existence, uniqueness, and stability…”
Získat plný text

Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank Autor Hansen, Per Christian

“…Tikhonov regularization is a standard method for obtaining smooth solutions to discrete ill-posed problems…”
Získat plný text

The numerical inversion of the Laplace transform in reproducing kernel Hilbert spaces for ill-posed problems Autor Iqbal, M.

“…In this paper we have converted the Laplace transform into an integral equation of the first kind of convolution type, which is an ill-posed problem, and used a statistical regularization method to solve…”
Získat plný text

ESTIMATION OF DISCONTINUOUS SOLUTIONS OF ILL-POSED PROBLEMS BY REGULARIZATION FOR SURFACE REPRESENTATIONS: NUMERICAL REALIZATION VIA MOVING GRIDS Autor NEUBAUER, ANDREAS

“…In this paper we discuss the numerical realization of a new regularization method, regularization for surface representations, which is well-suited for ill-posed problems with discontinuous solutions…”
Získat plný text

Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function Autor Klibanov, Michael V, Koshev, Nikolaj A, Li, Jingzhi, Yagola, Anatoly G

“… in it. Previous publications about numerical solutions of ill-posed Cauchy problems were considering only linear equations…”
Získat plný text

ASPECTS OF THE THEORY OF TIKHONOV'S METHOD FOR THE NUMERICAL SOLUTION OF INTEGRAL EQUATIONS (ILL-POSED PROBLEMS) Autor GUACANEME, JULIO ENRIQUE

“… The method is considered in the general context of Hilbert space. A new saturation result is established, namely that a rate of convergence of order o((delta)('2/3)), where (delta…”
Získat plný text

Book reviews -- The Mollification Method and the Numerical Solution of Ill-Posed Problems by D. A. Murio Autor Ingham, D B

Získat plný text

An iterative method to compute minimum norm solutions of ill-posed problems in Hilbert spaces Autor Jozi, Meisam, Karimi, Saeed, Salkuyeh, Davod Khojasteh

“…We study an algorithm to compute minimum norm solution of ill-posed problems in Hilbert spaces and investigate its regularizing properties with discrepancy principle stopping rule…”
Získat plný text

Towards structural analysis of solution spaces for ill-posed discrete 1D optimisation problems Autor Rui Gong, Gimel'farb, Georgy, Nicolescu, Radu, Delmas, Patrice

“…To obtain a single best-suited solution, an ill-posed global optimisation problem is regularised…”
Získat plný text

The necessary and sufficient conditions for the qualified convergence of difference methods for approximate solution of the ill-posed Cauchy problem in a Banach space Autor Klyuchev, V. V.

“…We study properties of finite-difference methods for approximate solution of the ill-posed Cauchy problem for a homogeneous equation of the first order with a sectorial operator in a Banach space…”
Získat plný text

On the second-order asymptotical regularization of linear ill-posed inverse problems Autor Zhang, Y., Hofmann, B.

“…) method for the stable approximate solution of ill-posed linear operator equations in Hilbert spaces, which are models for linear inverse problems with applications in the natural sciences, imaging and engineering…”
Získat plný text

A fast iterative regularization method for ill-posed problems Autor Bechouat, Tahar

“…Ill-posed problems manifest in a wide range of scientific and engineering disciplines…”
Získat plný text