UID:
almahu_9949460996202882
Format:
1 online resource (XII, 594 p.)
Edition:
Reprint 2020
ISBN:
9783112313930
,
9783110637199
Note:
Frontmatter --
,
CONTENTS --
,
Preface --
,
Part 1. THEORY AND METHODS OF SOLVING ILL-POSED PROBLEMS --
,
Generalized maximum likelihood method and its application for solving ill-posed problems --
,
Iterative method for the solution of nonlinear ill-posed problems and their applications --
,
Uniform regularization of first kind operator equations in Hilbert space --
,
On the discretization error in regularized projection methods with parameter choice by discrepancy principle --
,
Regularization find uniqueness of solutions of systems of Volterra nonlinear integral equations of the first kind with two arguments --
,
Pointwise residual method for solving systems of linear algebraic equations and inequalities --
,
Optimality region of the m-step Lavrentiev method --
,
Multilevel iterative methods for ill-posed problems --
,
The method of minimal pseudoinversed matrix. Basic statements --
,
Variational algorithms with a posteriori choice of the regularization parameter for solving ill-posed extremal problems --
,
Tikhonov's approach for constructing regularizing algorithms --
,
Regularization algorithms for solving ill-posed criterion problems --
,
On the numerical solution of the ill-posed problems of construction of approximate solutions of singular integral equations of second kind --
,
Regularization methods for ill-posed boundary problems --
,
Modified Tikhonov regularization for nonlinear ill-posed problems leading to optimal convergence rates --
,
On dynamical restoration of parameters of elliptic systems --
,
Extreme value estimation, a method for regularizing ill-posed inversion problems --
,
Two iterative schemes for solving linear non-necessarily well-posed problems in Banach spaces --
,
On the regularization parameter choice for ill-posed problems with a quasisolution --
,
An operator method of regularization of nonlinear monotone ill-posed problems --
,
On the numerical inversion of the Laplace transform with boundary constraints --
,
Regularization of difference schemes --
,
Ill-posed problems of on-line conditionally optimal filtering --
,
The estimation of the error of the regularization method for ill-posed problems with noninjective operator --
,
Some numerical methods of parameter identification in nonlinear models --
,
Identification of filtration coefficient --
,
Ill-posed problems and iterative approximation of fixed points of pseudo-contractive mappings --
,
Part 2. INVERSE PROBLEMS IN MATHEMATICAL PHYSICS --
,
Nonlinear inverse problems of acoustic potential --
,
A measure thoretic approach for studying inverse problems of the heat equation and the wave equation --
,
New methods and results in multidimensional inverse problems for kinetic equations --
,
An inverse problem originating from magnetohydrodynamics. Some numerical experiments --
,
Inverse conductivity problem in the two-dimensional case --
,
Inverse problems for a system of nonlinear partial differential equations --
,
An inverse problem in three-dimensional linear thermoviscoelasticity of Boltzmann type --
,
An inverse boundary value problem for the equation of the plate in the Love-Kirchhoff theory --
,
Inverse problems for the nonstationary kinetic transport equation --
,
Optimization methods of solving inverse problems of geoelectrics --
,
On passage to the limit in the inverse problems for nondivergence parabolic equations --
,
One method of solution of the inverse problems for layered media --
,
Identification problems for integrodifferential equations --
,
The Fredholm solvability of inverse problems for abstract differential equations --
,
Regularized traces of singular differential operators of higher orders --
,
Inverse problems for evolution equations --
,
Inverse problems in mathematical physics --
,
Stability estimates for inverse problems of geoelectrics --
,
Inverse problems for elliptic differential operators --
,
Inverse boundary value problems in viscous fluid dynamics --
,
On some inverse problems for the time-dependent transport equation --
,
Determination of constant parameters in some semilinear parabolic equations --
,
Part 3. APPLICATIONS --
,
A numerical method for solving inverse problem of deep magnetotelluric quasi-layered media sounding --
,
On numerical methods of solving inverse problems of electrical prospecting --
,
The solution stability and restrictions on the space scatterer spectrum in the two-dimensional monochromatic inverse scattering problem --
,
Inverse problems of astrophysics --
,
Methods of solving the ion exchange inverse problem in counter-current columns --
,
Numerical methods for optical thin films at the National Research Council of Canada --
,
Inverse scattering and synthesis problems in the diffraction theory --
,
The construction of numerical algorithms for ill-posed problems with random errors in initial data --
,
A unified approach to the creation of knowledge-based systems for identification of some classes of nonstationary processes --
,
Inverse problems in vibrational spectroscopy --
,
Inverse problems in electroencephalography and their numerical solving --
,
A numerical method of crack determination by the boundary integral equation method --
,
Regularization method in nonstationary inverse scattering problem --
,
Numerical methods for inverse scattering problems in two-dimensional scalar field --
,
On the hypersingular first kind integral equations for problems of electromagnetic scattering from screen surfaces --
,
List of Contributors --
,
National Organizing Committee
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199
Additional Edition:
ISBN 9783112302668
Language:
English
DOI:
10.1515/9783112313930
URL:
https://doi.org/10.1515/9783112313930
URL:
https://www.degruyter.com/isbn/9783112313930
URL:
https://www.degruyter.com/isbn/9783112313930
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